https://www.math.wisc.edu/wiki/api.php?action=feedcontributions&user=Anderson&feedformat=atomUW-Math Wiki - User contributions [en]2020-02-21T22:58:02ZUser contributionsMediaWiki 1.30.1https://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=16829Probability Seminar2019-02-05T05:42:07Z<p>Anderson: /* Wednesday, February 6 at 4:00pm in Van Vleck 901 , Li-Cheng Tsai, Columbia University */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2019 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:15 PM.</b><br />
<br />
If you would like to sign up for the email list to receive seminar announcements then please send an email to <br />
[mailto:join-probsem@lists.wisc.edu join-probsem@lists.wisc.edu]<br />
<br />
<br />
<br />
== January 31, [https://www.math.princeton.edu/people/oanh-nguyen Oanh Nguyen], [https://www.math.princeton.edu/ Princeton] ==<br />
<br />
Title: '''Survival and extinction of epidemics on random graphs with general degrees'''<br />
<br />
Abstract: We establish the necessary and sufficient criterion for the contact process on Galton-Watson trees (resp. random graphs) to exhibit the phase of extinction (resp. short survival). We prove that the survival threshold $\lambda_1$ for a Galton-Watson tree is strictly positive if and only if its offspring distribution has an exponential tail, settling a conjecture by Huang and Durrett. On the random graph with degree distribution $D$, we show that if $D$ has an exponential tail, then for small enough $\lambda$ the contact process with the all-infected initial condition survives for polynomial time with high probability, while for large enough $\lambda$ it runs over exponential time with high probability. When $D$ is subexponential, the contact process typically displays long survival for any fixed $\lambda>0$.<br />
Joint work with Shankar Bhamidi, Danny Nam, and Allan Sly.<br />
<br />
== <span style="color:red"> Wednesday, February 6 at 4:00pm in Van Vleck 911</span> , [https://lc-tsai.github.io/ Li-Cheng Tsai], [https://www.columbia.edu/ Columbia University] ==<br />
<br />
Title: '''When particle systems meet PDEs'''<br />
<br />
Abstract: Interacting particle systems are models that involve many randomly evolving agents (i.e., particles). These systems are widely used in describing real-world phenomena. In this talk we will walk through three facets of interacting particle systems, namely the law of large numbers, random fluctuations, and large deviations. Within each facet, I will explain how Partial Differential Equations (PDEs) play a role in understanding the systems..<br />
<br />
== February 7, [http://www.math.cmu.edu/~yug2/ Yu Gu], [https://www.cmu.edu/math/index.html CMU] ==<br />
<br />
Title: '''Fluctuations of the KPZ equation in d\geq 2 in a weak disorder regime'''<br />
<br />
Abstract: We will discuss some recent work on the Edwards-Wilkinson limit of the KPZ equation with a small coupling constant in d\geq 2.<br />
<br />
== February 14, TBA ==<br />
== February 21, TBA ==<br />
== <span style="color:red"> Wednesday, February 27 at 1:10pm</span> [http://www.math.purdue.edu/~peterson/ Jon Peterson], [http://www.math.purdue.edu/ Purdue] ==<br />
<br />
<br />
<div style="width:520px;height:50px;border:5px solid black"><br />
<b><span style="color:red">&emsp; Please note the unusual day and time. <br />
&emsp; </span></b><br />
</div><br />
<br />
== March 7, TBA ==<br />
<br />
== March 14, TBA ==<br />
== March 21, Spring Break, No seminar ==<br />
<br />
== March 28, [https://www.math.wisc.edu/~shamgar/ Shamgar Gurevitch] [https://www.math.wisc.edu/ UW-Madison]==<br />
<br />
Title: '''Harmonic Analysis on GLn over finite fields, and Random Walks'''<br />
<br />
Abstract: There are many formulas that express interesting properties of a group G in terms of sums over its characters. For evaluating or estimating these sums, one of the most salient quantities to understand is the {\it character ratio}: <br />
<br />
$$<br />
trace(\rho(g))/dim(\rho),<br />
$$<br />
<br />
for an irreducible representation $\rho$ of G and an element g of G. For example, Diaconis and Shahshahani stated a formula of this type for analyzing G-biinvariant random walks on G. It turns out that, for classical groups G over finite fields (which provide most examples of finite simple groups), there is a natural invariant of representations that provides strong information on the character ratio. We call this invariant {\it rank}. This talk will discuss the notion of rank for GLn over finite fields, and apply the results to random walks. This is joint work with Roger Howe (Yale and Texas AM).<br />
<br />
== April 4, TBA ==<br />
== April 11, [https://sites.google.com/site/ebprocaccia/ Eviatar Proccia], [http://www.math.tamu.edu/index.html Texas A&M] ==<br />
<br />
== April 18, [https://services.math.duke.edu/~agazzi/index.html Andrea Agazzi], [https://math.duke.edu/ Duke] ==<br />
<br />
== April 25, [https://www.brown.edu/academics/applied-mathematics/kavita-ramanan Kavita Ramanan], [https://www.brown.edu/academics/applied-mathematics/ Brown] ==<br />
<br />
== April 26, Colloquium, [https://www.brown.edu/academics/applied-mathematics/kavita-ramanan Kavita Ramanan], [https://www.brown.edu/academics/applied-mathematics/ Brown] ==<br />
<br />
== April 26, TBA ==<br />
== May 2, TBA ==<br />
<br />
<br />
<!--<br />
==<span style="color:red"> Friday, August 10, 10am, B239 Van Vleck </span> András Mészáros, Central European University, Budapest ==<br />
<br />
<br />
Title: '''The distribution of sandpile groups of random regular graphs'''<br />
<br />
Abstract:<br />
We study the distribution of the sandpile group of random <math>d</math>-regular graphs. For the directed model we prove that it follows the Cohen-Lenstra heuristics, that is, the probability that the <math>p</math>-Sylow subgroup of the sandpile group is a given <math>p</math>-group <math>P</math>, is proportional to <math>|\operatorname{Aut}(P)|^{-1}</math>. For finitely many primes, these events get independent in limit. Similar results hold for undirected random regular graphs, there for odd primes the limiting distributions are the ones given by Clancy, Leake and Payne.<br />
<br />
Our results extends a recent theorem of Huang saying that the adjacency matrices of random <math>d</math>-regular directed graphs are invertible with high probability to the undirected case.<br />
<br />
<br />
==September 20, [http://math.columbia.edu/~hshen/ Hao Shen], [https://www.math.wisc.edu/ UW-Madison] ==<br />
<br />
Title: '''Stochastic quantization of Yang-Mills'''<br />
<br />
Abstract:<br />
"Stochastic quantization” refers to a formulation of quantum field theory as stochastic PDEs. Interesting progress has been made these years in understanding these SPDEs, examples including Phi4 and sine-Gordon. Yang-Mills is a type of quantum field theory which has gauge symmetry, and its stochastic quantization is a Yang-Mills flow perturbed by white noise.<br />
In this talk we start by an Abelian example where we take a symmetry-preserving lattice regularization and study the continuum limit. We will then discuss non-Abelian Yang-Mills theories and introduce a symmetry-breaking smooth regularization and restore the symmetry using a notion of gauge-equivariance. With these results we can construct dynamical Wilson loop and string observables. Based on [S., arXiv:1801.04596] and [Chandra,Hairer,S., work in progress].<br />
<br />
--><br />
<br />
== ==<br />
<br />
[[Past Seminars]]</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Colloquia&diff=16828Colloquia2019-02-05T05:40:32Z<p>Anderson: /* Spring 2019 */</p>
<hr />
<div>= Mathematics Colloquium =<br />
<br />
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.<br />
<br />
==Spring 2019==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Jan 25 '''Room 911'''<br />
| [http://www.users.miamioh.edu/randrib/ Beata Randrianantoanina] (Miami University Ohio) WIMAW<br />
|[[#Beata Randrianantoanina (Miami University Ohio) | Some nonlinear problems in the geometry of Banach spaces and their applications ]]<br />
| Tullia Dymarz<br />
|<br />
|-<br />
|Jan 30 '''Wednesday'''<br />
| Talk rescheduled to Feb 15<br />
|<br />
|-<br />
|Jan 31 '''Thursday'''<br />
| Talk rescheduled to Feb 13<br />
|<br />
|-<br />
|Feb 1<br />
| Talk cancelled due to weather<br />
|<br />
| <br />
|<br />
|-<br />
|Feb 5 '''Tuesday'''<br />
| [http://www.math.tamu.edu/~alexei.poltoratski/ Alexei Poltoratski] (Texas A&M University)<br />
|[[#Alexei Poltoratski (Texas A&M)| Completeness of exponentials: Beurling-Malliavin and type problems ]]<br />
| Denisov<br />
|<br />
|-<br />
|Feb 6 '''Wednesday, room 911'''<br />
| [https://lc-tsai.github.io/ Li-Cheng Tsai] (Columbia University)<br />
|[[#Li-Cheng Tsai (Columbia University)| When particle systems meet PDEs ]]<br />
| Anderson<br />
|<br />
|-<br />
|Feb 8<br />
| [https://sites.math.northwestern.edu/~anaber/ Aaron Naber] (Northwestern)<br />
|[[#Aaron Naber (Northwestern) | A structure theory for spaces with lower Ricci curvature bounds ]]<br />
| Street<br />
|<br />
|-<br />
|Feb 11 '''Monday'''<br />
| [https://www2.bc.edu/david-treumann/materials.html David Treumann] (Boston College)<br />
|[[#David Treumann (Boston College) | Twisting things in topology and symplectic topology by pth powers ]]<br />
| Caldararu<br />
|<br />
|-<br />
| Feb 13 '''Wednesday'''<br />
| [http://www.math.tamu.edu/~dbaskin/ Dean Baskin] (Texas A&M)<br />
|[[#Dean Baskin (Texas A&M) | Radiation fields for wave equations ]]<br />
| Street<br />
<br />
|-<br />
| Feb 15 <br />
| [https://services.math.duke.edu/~pierce/ Lillian Pierce] (Duke University)<br />
| [[#Lillian Pierce (Duke University) | Short character sums ]]<br />
| Boston and Street<br />
|<br />
|-<br />
|Feb 22<br />
| [https://people.math.osu.edu/cueto.5/ Angelica Cueto] (Ohio State)<br />
|[[# TBA| TBA ]]<br />
| Erman and Corey<br />
|<br />
|-<br />
|March 4<br />
| [http://www-users.math.umn.edu/~sverak/ Vladimir Sverak] (Minnesota) Wasow lecture<br />
|[[# TBA| TBA ]]<br />
| Kim<br />
|<br />
|-<br />
|March 8<br />
| [https://orion.math.iastate.edu/jmccullo/index.html Jason McCullough] (Iowa State)<br />
|[[# TBA| TBA ]]<br />
| Erman<br />
|<br />
|-<br />
|March 15<br />
| Maksym Radziwill (Caltech)<br />
|[[# TBA| TBA ]]<br />
| Marshall<br />
|<br />
|-<br />
|March 29<br />
| Jennifer Park (OSU)<br />
|[[# TBA| TBA ]]<br />
| Marshall<br />
|<br />
|-<br />
|April 5<br />
| Ju-Lee Kim (MIT)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|-<br />
|April 12<br />
| Evitar Procaccia (TAMU)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|-<br />
|April 19<br />
| [http://www.math.rice.edu/~jkn3/ Jo Nelson] (Rice University)<br />
|[[# TBA| TBA ]]<br />
| Jean-Luc<br />
|<br />
|-<br />
|April 26<br />
| [https://www.brown.edu/academics/applied-mathematics/faculty/kavita-ramanan/home Kavita Ramanan] (Brown University)<br />
|[[# TBA| TBA ]]<br />
| WIMAW<br />
|<br />
|-<br />
|May 3<br />
| Tomasz Przebinda (Oklahoma)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
===Beata Randrianantoanina (Miami University Ohio)===<br />
<br />
Title: Some nonlinear problems in the geometry of Banach spaces and their applications.<br />
<br />
Abstract: Nonlinear problems in the geometry of Banach spaces have been studied since the inception of the field. In this talk I will outline some of the history, some of modern applications, and some open directions of research. The talk will be accessible to graduate students of any field of mathematics.<br />
<br />
===Lillian Pierce (Duke University)===<br />
<br />
Title: Short character sums <br />
<br />
Abstract: A surprisingly diverse array of problems in analytic number theory have at their heart a problem of bounding (from above) an exponential sum, or its multiplicative cousin, a so-called character sum. For example, both understanding the Riemann zeta function or Dirichlet L-functions inside the critical strip, and also counting solutions to Diophantine equations via the circle method or power sieve methods, involve bounding such sums. In general, the sums of interest fall into one of two main regimes: complete sums or incomplete sums, with this latter regime including in particular “short sums.” Short sums are particularly useful, and particularly resistant to almost all known methods. In this talk, we will see what makes a sum “short,” sketch why it would be incredibly powerful to understand short sums, and discuss a curious proof from the 1950’s which is still the best way we know to bound short sums. We will end by describing new work which extends the ideas of this curious proof to bound short sums in much more general situations.<br />
<br />
===David Treumann (Boston College)===<br />
<br />
Title: Twisting things in topology and symplectic topology by pth powers<br />
<br />
Abstract: There's an old and popular analogy between circles and finite fields. I'll describe some constructions you can make in Lagrangian Floer theory and in microlocal sheaf theory by taking this analogy extremely literally, the main ingredient is an "F-field." An F-field on a manifold M is a local system of algebraically closed fields of characteristic p. When M is symplectic, maybe an F-field should remind you of a B-field, it can be used to change the Fukaya category in about the same way. On M = S^1 times R^3, this version of the Fukaya category is related to Deligne-Lusztig theory, and I found something like a cluster structure on the Deligne-Lusztig pairing varieties by studying it. On M = S^1 times S^1, Yanki Lekili and I have found that this version of the Fukaya category is related to the equal-characteristic version of the Fargues-Fontaine curve; the relationship is homological mirror symmetry.<br />
<br />
===Dean Baskin (Texas A&M)===<br />
<br />
Title: Radiation fields for wave equations<br />
<br />
Abstract: Radiation fields are rescaled limits of solutions of wave equations near "null infinity" and capture the radiation pattern seen by a distant observer. They are intimately connected with the Fourier and Radon transforms and with scattering theory. In this talk, I will define and discuss radiation fields in a few contexts, with an emphasis on spacetimes that look flat near infinity. The main result is a connection between the asymptotic behavior of the radiation field and a family of quantum objects on an associated asymptotically hyperbolic space.<br />
<br />
===Jianfeng Lu (Duke University)===<br />
<br />
Title: Density fitting: Analysis, algorithm and applications<br />
<br />
Abstract: Density fitting considers the low-rank approximation of pair products of eigenfunctions of Hamiltonian operators. It is a very useful tool with many applications in electronic structure theory. In this talk, we will discuss estimates of upper bound of the numerical rank of the pair products of eigenfunctions. We will also introduce the interpolative separable density fitting (ISDF) algorithm, which reduces the computational scaling of the low-rank approximation and can be used for efficient algorithms for electronic structure calculations. Based on joint works with Chris Sogge, Stefan Steinerberger, Kyle Thicke, and Lexing Ying.<br />
<br />
===Alexei Poltoratski (Texas A&M)===<br />
<br />
Title: Completeness of exponentials: Beurling-Malliavin and type problems<br />
<br />
Abstract: This talk is devoted to two old problems of harmonic analysis mentioned in the title. Both<br />
problems ask when a family of complex exponentials is complete (spans) an L^2-space. The Beruling-Malliavin<br />
problem was solved in the early 1960s and I will present its classical solution along with modern generalizations<br />
and applications. I will then discuss history and recent progress in the type problem, which stood open for<br />
more than 70 years.<br />
<br />
===Li-Cheng Tsai (Columbia University)===<br />
<br />
Title: When particle systems meet PDEs<br />
<br />
Interacting particle systems are models that involve many randomly evolving agents (i.e., particles). These systems are widely used in describing real-world phenomena. In this talk we will walk through three facets of interacting particle systems, namely the law of large numbers, random fluctuations, and large deviations. Within each facet, I will explain how Partial Differential Equations (PDEs) play a role in understanding the systems.<br />
<br />
===Aaron Naber (Northwestern)===<br />
<br />
Title: A structure theory for spaces with lower Ricci curvature bounds.<br />
<br />
Abstract: One should view manifolds (M^n,g) with lower Ricci curvature bounds as being those manifolds with a well behaved analysis, a point which can be rigorously stated. It thus becomes a natural question, how well behaved or badly behaved can such spaces be? This is a nonlinear analogue to asking how degenerate can a subharmonic or plurisubharmonic function look like. In this talk we give an essentially sharp answer to this question. The talk will require little background, and our time will be spent on understanding the basic statements and examples. The work discussed is joint with Cheeger, Jiang and with Li.<br />
<br />
== Past Colloquia ==<br />
<br />
[[Colloquia/Blank|Blank]]<br />
<br />
[[Colloquia/Fall2018|Fall 2018]]<br />
<br />
[[Colloquia/Spring2018|Spring 2018]]<br />
<br />
[[Colloquia/Fall2017|Fall 2017]]<br />
<br />
[[Colloquia/Spring2017|Spring 2017]]<br />
<br />
[[Archived Fall 2016 Colloquia|Fall 2016]]<br />
<br />
[[Colloquia/Spring2016|Spring 2016]]<br />
<br />
[[Colloquia/Fall2015|Fall 2015]]<br />
<br />
[[Colloquia/Spring2014|Spring 2015]]<br />
<br />
[[Colloquia/Fall2014|Fall 2014]]<br />
<br />
[[Colloquia/Spring2014|Spring 2014]]<br />
<br />
[[Colloquia/Fall2013|Fall 2013]]<br />
<br />
[[Colloquia 2012-2013|Spring 2013]]<br />
<br />
[[Colloquia 2012-2013#Fall 2012|Fall 2012]]</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=16822Probability Seminar2019-02-04T19:12:27Z<p>Anderson: </p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2019 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:15 PM.</b><br />
<br />
If you would like to sign up for the email list to receive seminar announcements then please send an email to <br />
[mailto:join-probsem@lists.wisc.edu join-probsem@lists.wisc.edu]<br />
<br />
<br />
<br />
== January 31, [https://www.math.princeton.edu/people/oanh-nguyen Oanh Nguyen], [https://www.math.princeton.edu/ Princeton] ==<br />
<br />
Title: '''Survival and extinction of epidemics on random graphs with general degrees'''<br />
<br />
Abstract: We establish the necessary and sufficient criterion for the contact process on Galton-Watson trees (resp. random graphs) to exhibit the phase of extinction (resp. short survival). We prove that the survival threshold $\lambda_1$ for a Galton-Watson tree is strictly positive if and only if its offspring distribution has an exponential tail, settling a conjecture by Huang and Durrett. On the random graph with degree distribution $D$, we show that if $D$ has an exponential tail, then for small enough $\lambda$ the contact process with the all-infected initial condition survives for polynomial time with high probability, while for large enough $\lambda$ it runs over exponential time with high probability. When $D$ is subexponential, the contact process typically displays long survival for any fixed $\lambda>0$.<br />
Joint work with Shankar Bhamidi, Danny Nam, and Allan Sly.<br />
<br />
== <span style="color:red"> Wednesday, February 6 at 4:00pm in Van Vleck 901</span> , [https://lc-tsai.github.io/ Li-Cheng Tsai], [https://www.columbia.edu/ Columbia University] ==<br />
<br />
Title: '''When particle systems meet PDEs'''<br />
<br />
Abstract: Interacting particle systems are models that involve many randomly evolving agents (i.e., particles). These systems are widely used in describing real-world phenomena. In this talk we will walk through three facets of interacting particle systems, namely the law of large numbers, random fluctuations, and large deviations. Within each facet, I will explain how Partial Differential Equations (PDEs) play a role in understanding the systems..<br />
<br />
== February 7, [http://www.math.cmu.edu/~yug2/ Yu Gu], [https://www.cmu.edu/math/index.html CMU] ==<br />
<br />
Title: '''Fluctuations of the KPZ equation in d\geq 2 in a weak disorder regime'''<br />
<br />
Abstract: We will discuss some recent work on the Edwards-Wilkinson limit of the KPZ equation with a small coupling constant in d\geq 2.<br />
<br />
== February 14, TBA ==<br />
== February 21, TBA ==<br />
== <span style="color:red"> Wednesday, February 27 at 1:10pm</span> [http://www.math.purdue.edu/~peterson/ Jon Peterson], [http://www.math.purdue.edu/ Purdue] ==<br />
<br />
<br />
<div style="width:520px;height:50px;border:5px solid black"><br />
<b><span style="color:red">&emsp; Please note the unusual day and time. <br />
&emsp; </span></b><br />
</div><br />
<br />
== March 7, TBA ==<br />
== March 14, TBA ==<br />
== March 21, Spring Break, No seminar ==<br />
<br />
== March 28, TBA ==<br />
== April 4, TBA ==<br />
== April 11, [https://sites.google.com/site/ebprocaccia/ Eviatar Proccia], [http://www.math.tamu.edu/index.html Texas A&M] ==<br />
<br />
== April 18, [https://services.math.duke.edu/~agazzi/index.html Andrea Agazzi], [https://math.duke.edu/ Duke] ==<br />
<br />
== April 25, [https://www.brown.edu/academics/applied-mathematics/kavita-ramanan Kavita Ramanan], [https://www.brown.edu/academics/applied-mathematics/ Brown] ==<br />
<br />
== April 26, Colloquium, [https://www.brown.edu/academics/applied-mathematics/kavita-ramanan Kavita Ramanan], [https://www.brown.edu/academics/applied-mathematics/ Brown] ==<br />
<br />
== April 26, TBA ==<br />
== May 2, TBA ==<br />
<br />
<br />
<!--<br />
==<span style="color:red"> Friday, August 10, 10am, B239 Van Vleck </span> András Mészáros, Central European University, Budapest ==<br />
<br />
<br />
Title: '''The distribution of sandpile groups of random regular graphs'''<br />
<br />
Abstract:<br />
We study the distribution of the sandpile group of random <math>d</math>-regular graphs. For the directed model we prove that it follows the Cohen-Lenstra heuristics, that is, the probability that the <math>p</math>-Sylow subgroup of the sandpile group is a given <math>p</math>-group <math>P</math>, is proportional to <math>|\operatorname{Aut}(P)|^{-1}</math>. For finitely many primes, these events get independent in limit. Similar results hold for undirected random regular graphs, there for odd primes the limiting distributions are the ones given by Clancy, Leake and Payne.<br />
<br />
Our results extends a recent theorem of Huang saying that the adjacency matrices of random <math>d</math>-regular directed graphs are invertible with high probability to the undirected case.<br />
<br />
<br />
==September 20, [http://math.columbia.edu/~hshen/ Hao Shen], [https://www.math.wisc.edu/ UW-Madison] ==<br />
<br />
Title: '''Stochastic quantization of Yang-Mills'''<br />
<br />
Abstract:<br />
"Stochastic quantization” refers to a formulation of quantum field theory as stochastic PDEs. Interesting progress has been made these years in understanding these SPDEs, examples including Phi4 and sine-Gordon. Yang-Mills is a type of quantum field theory which has gauge symmetry, and its stochastic quantization is a Yang-Mills flow perturbed by white noise.<br />
In this talk we start by an Abelian example where we take a symmetry-preserving lattice regularization and study the continuum limit. We will then discuss non-Abelian Yang-Mills theories and introduce a symmetry-breaking smooth regularization and restore the symmetry using a notion of gauge-equivariance. With these results we can construct dynamical Wilson loop and string observables. Based on [S., arXiv:1801.04596] and [Chandra,Hairer,S., work in progress].<br />
<br />
--><br />
<br />
== ==<br />
<br />
[[Past Seminars]]</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=16821Probability Seminar2019-02-04T19:11:05Z<p>Anderson: /* February 6, Li-Cheng Tsai, Columbia University */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2019 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:15 PM.</b><br />
<br />
If you would like to sign up for the email list to receive seminar announcements then please send an email to <br />
[mailto:join-probsem@lists.wisc.edu join-probsem@lists.wisc.edu]<br />
<br />
<br />
<br />
== January 31, [https://www.math.princeton.edu/people/oanh-nguyen Oanh Nguyen], [https://www.math.princeton.edu/ Princeton] ==<br />
<br />
Title: '''Survival and extinction of epidemics on random graphs with general degrees'''<br />
<br />
Abstract: We establish the necessary and sufficient criterion for the contact process on Galton-Watson trees (resp. random graphs) to exhibit the phase of extinction (resp. short survival). We prove that the survival threshold $\lambda_1$ for a Galton-Watson tree is strictly positive if and only if its offspring distribution has an exponential tail, settling a conjecture by Huang and Durrett. On the random graph with degree distribution $D$, we show that if $D$ has an exponential tail, then for small enough $\lambda$ the contact process with the all-infected initial condition survives for polynomial time with high probability, while for large enough $\lambda$ it runs over exponential time with high probability. When $D$ is subexponential, the contact process typically displays long survival for any fixed $\lambda>0$.<br />
Joint work with Shankar Bhamidi, Danny Nam, and Allan Sly.<br />
<br />
== February 6, [https://lc-tsai.github.io/ Li-Cheng Tsai], [https://www.columbia.edu/ Columbia University] ==<br />
<br />
Title: '''When particle systems meet PDEs'''<br />
<br />
Abstract: Interacting particle systems are models that involve many randomly evolving agents (i.e., particles). These systems are widely used in describing real-world phenomena. In this talk we will walk through three facets of interacting particle systems, namely the law of large numbers, random fluctuations, and large deviations. Within each facet, I will explain how Partial Differential Equations (PDEs) play a role in understanding the systems..<br />
<br />
== February 7, [http://www.math.cmu.edu/~yug2/ Yu Gu], [https://www.cmu.edu/math/index.html CMU] ==<br />
<br />
Title: '''Fluctuations of the KPZ equation in d\geq 2 in a weak disorder regime'''<br />
<br />
Abstract: We will discuss some recent work on the Edwards-Wilkinson limit of the KPZ equation with a small coupling constant in d\geq 2.<br />
<br />
== February 14, TBA ==<br />
== February 21, TBA ==<br />
== <span style="color:red"> Wednesday, February 27 at 1:10pm</span> [http://www.math.purdue.edu/~peterson/ Jon Peterson], [http://www.math.purdue.edu/ Purdue] ==<br />
<br />
<br />
<div style="width:520px;height:50px;border:5px solid black"><br />
<b><span style="color:red">&emsp; Please note the unusual day and time. <br />
&emsp; </span></b><br />
</div><br />
<br />
== March 7, TBA ==<br />
== March 14, TBA ==<br />
== March 21, Spring Break, No seminar ==<br />
<br />
== March 28, TBA ==<br />
== April 4, TBA ==<br />
== April 11, [https://sites.google.com/site/ebprocaccia/ Eviatar Proccia], [http://www.math.tamu.edu/index.html Texas A&M] ==<br />
<br />
== April 18, [https://services.math.duke.edu/~agazzi/index.html Andrea Agazzi], [https://math.duke.edu/ Duke] ==<br />
<br />
== April 25, [https://www.brown.edu/academics/applied-mathematics/kavita-ramanan Kavita Ramanan], [https://www.brown.edu/academics/applied-mathematics/ Brown] ==<br />
<br />
== April 26, Colloquium, [https://www.brown.edu/academics/applied-mathematics/kavita-ramanan Kavita Ramanan], [https://www.brown.edu/academics/applied-mathematics/ Brown] ==<br />
<br />
== April 26, TBA ==<br />
== May 2, TBA ==<br />
<br />
<br />
<!--<br />
==<span style="color:red"> Friday, August 10, 10am, B239 Van Vleck </span> András Mészáros, Central European University, Budapest ==<br />
<br />
<br />
Title: '''The distribution of sandpile groups of random regular graphs'''<br />
<br />
Abstract:<br />
We study the distribution of the sandpile group of random <math>d</math>-regular graphs. For the directed model we prove that it follows the Cohen-Lenstra heuristics, that is, the probability that the <math>p</math>-Sylow subgroup of the sandpile group is a given <math>p</math>-group <math>P</math>, is proportional to <math>|\operatorname{Aut}(P)|^{-1}</math>. For finitely many primes, these events get independent in limit. Similar results hold for undirected random regular graphs, there for odd primes the limiting distributions are the ones given by Clancy, Leake and Payne.<br />
<br />
Our results extends a recent theorem of Huang saying that the adjacency matrices of random <math>d</math>-regular directed graphs are invertible with high probability to the undirected case.<br />
<br />
<br />
==September 20, [http://math.columbia.edu/~hshen/ Hao Shen], [https://www.math.wisc.edu/ UW-Madison] ==<br />
<br />
Title: '''Stochastic quantization of Yang-Mills'''<br />
<br />
Abstract:<br />
"Stochastic quantization” refers to a formulation of quantum field theory as stochastic PDEs. Interesting progress has been made these years in understanding these SPDEs, examples including Phi4 and sine-Gordon. Yang-Mills is a type of quantum field theory which has gauge symmetry, and its stochastic quantization is a Yang-Mills flow perturbed by white noise.<br />
In this talk we start by an Abelian example where we take a symmetry-preserving lattice regularization and study the continuum limit. We will then discuss non-Abelian Yang-Mills theories and introduce a symmetry-breaking smooth regularization and restore the symmetry using a notion of gauge-equivariance. With these results we can construct dynamical Wilson loop and string observables. Based on [S., arXiv:1801.04596] and [Chandra,Hairer,S., work in progress].<br />
<br />
--><br />
<br />
== ==<br />
<br />
[[Past Seminars]]</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=16820Probability Seminar2019-02-04T19:10:01Z<p>Anderson: </p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2019 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:15 PM.</b><br />
<br />
If you would like to sign up for the email list to receive seminar announcements then please send an email to <br />
[mailto:join-probsem@lists.wisc.edu join-probsem@lists.wisc.edu]<br />
<br />
<br />
<br />
== January 31, [https://www.math.princeton.edu/people/oanh-nguyen Oanh Nguyen], [https://www.math.princeton.edu/ Princeton] ==<br />
<br />
Title: '''Survival and extinction of epidemics on random graphs with general degrees'''<br />
<br />
Abstract: We establish the necessary and sufficient criterion for the contact process on Galton-Watson trees (resp. random graphs) to exhibit the phase of extinction (resp. short survival). We prove that the survival threshold $\lambda_1$ for a Galton-Watson tree is strictly positive if and only if its offspring distribution has an exponential tail, settling a conjecture by Huang and Durrett. On the random graph with degree distribution $D$, we show that if $D$ has an exponential tail, then for small enough $\lambda$ the contact process with the all-infected initial condition survives for polynomial time with high probability, while for large enough $\lambda$ it runs over exponential time with high probability. When $D$ is subexponential, the contact process typically displays long survival for any fixed $\lambda>0$.<br />
Joint work with Shankar Bhamidi, Danny Nam, and Allan Sly.<br />
<br />
== February 6, [https://lc-tsai.github.io/ Li-Cheng Tsai], [https://lc-tsai.github.io/ Columbia University] ==<br />
<br />
Title: '''When particle systems meet PDEs'''<br />
<br />
Abstract: Interacting particle systems are models that involve many randomly evolving agents (i.e., particles). These systems are widely used in describing real-world phenomena. In this talk we will walk through three facets of interacting particle systems, namely the law of large numbers, random fluctuations, and large deviations. Within each facet, I will explain how Partial Differential Equations (PDEs) play a role in understanding the systems..<br />
<br />
== February 7, [http://www.math.cmu.edu/~yug2/ Yu Gu], [https://www.cmu.edu/math/index.html CMU] ==<br />
<br />
Title: '''Fluctuations of the KPZ equation in d\geq 2 in a weak disorder regime'''<br />
<br />
Abstract: We will discuss some recent work on the Edwards-Wilkinson limit of the KPZ equation with a small coupling constant in d\geq 2.<br />
<br />
== February 14, TBA ==<br />
== February 21, TBA ==<br />
== <span style="color:red"> Wednesday, February 27 at 1:10pm</span> [http://www.math.purdue.edu/~peterson/ Jon Peterson], [http://www.math.purdue.edu/ Purdue] ==<br />
<br />
<br />
<div style="width:520px;height:50px;border:5px solid black"><br />
<b><span style="color:red">&emsp; Please note the unusual day and time. <br />
&emsp; </span></b><br />
</div><br />
<br />
== March 7, TBA ==<br />
== March 14, TBA ==<br />
== March 21, Spring Break, No seminar ==<br />
<br />
== March 28, TBA ==<br />
== April 4, TBA ==<br />
== April 11, [https://sites.google.com/site/ebprocaccia/ Eviatar Proccia], [http://www.math.tamu.edu/index.html Texas A&M] ==<br />
<br />
== April 18, [https://services.math.duke.edu/~agazzi/index.html Andrea Agazzi], [https://math.duke.edu/ Duke] ==<br />
<br />
== April 25, [https://www.brown.edu/academics/applied-mathematics/kavita-ramanan Kavita Ramanan], [https://www.brown.edu/academics/applied-mathematics/ Brown] ==<br />
<br />
== April 26, Colloquium, [https://www.brown.edu/academics/applied-mathematics/kavita-ramanan Kavita Ramanan], [https://www.brown.edu/academics/applied-mathematics/ Brown] ==<br />
<br />
== April 26, TBA ==<br />
== May 2, TBA ==<br />
<br />
<br />
<!--<br />
==<span style="color:red"> Friday, August 10, 10am, B239 Van Vleck </span> András Mészáros, Central European University, Budapest ==<br />
<br />
<br />
Title: '''The distribution of sandpile groups of random regular graphs'''<br />
<br />
Abstract:<br />
We study the distribution of the sandpile group of random <math>d</math>-regular graphs. For the directed model we prove that it follows the Cohen-Lenstra heuristics, that is, the probability that the <math>p</math>-Sylow subgroup of the sandpile group is a given <math>p</math>-group <math>P</math>, is proportional to <math>|\operatorname{Aut}(P)|^{-1}</math>. For finitely many primes, these events get independent in limit. Similar results hold for undirected random regular graphs, there for odd primes the limiting distributions are the ones given by Clancy, Leake and Payne.<br />
<br />
Our results extends a recent theorem of Huang saying that the adjacency matrices of random <math>d</math>-regular directed graphs are invertible with high probability to the undirected case.<br />
<br />
<br />
==September 20, [http://math.columbia.edu/~hshen/ Hao Shen], [https://www.math.wisc.edu/ UW-Madison] ==<br />
<br />
Title: '''Stochastic quantization of Yang-Mills'''<br />
<br />
Abstract:<br />
"Stochastic quantization” refers to a formulation of quantum field theory as stochastic PDEs. Interesting progress has been made these years in understanding these SPDEs, examples including Phi4 and sine-Gordon. Yang-Mills is a type of quantum field theory which has gauge symmetry, and its stochastic quantization is a Yang-Mills flow perturbed by white noise.<br />
In this talk we start by an Abelian example where we take a symmetry-preserving lattice regularization and study the continuum limit. We will then discuss non-Abelian Yang-Mills theories and introduce a symmetry-breaking smooth regularization and restore the symmetry using a notion of gauge-equivariance. With these results we can construct dynamical Wilson loop and string observables. Based on [S., arXiv:1801.04596] and [Chandra,Hairer,S., work in progress].<br />
<br />
--><br />
<br />
== ==<br />
<br />
[[Past Seminars]]</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Colloquia&diff=16819Colloquia2019-02-04T19:06:59Z<p>Anderson: /* Abstracts */</p>
<hr />
<div>= Mathematics Colloquium =<br />
<br />
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.<br />
<br />
==Spring 2019==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Jan 25 '''Room 911'''<br />
| [http://www.users.miamioh.edu/randrib/ Beata Randrianantoanina] (Miami University Ohio) WIMAW<br />
|[[#Beata Randrianantoanina (Miami University Ohio) | Some nonlinear problems in the geometry of Banach spaces and their applications ]]<br />
| Tullia Dymarz<br />
|<br />
|-<br />
|Jan 30 '''Wednesday'''<br />
| Talk rescheduled to Feb 15<br />
|<br />
|-<br />
|Jan 31 '''Thursday'''<br />
| Talk rescheduled to Feb 13<br />
|<br />
|-<br />
|Feb 1<br />
| Talk cancelled due to weather<br />
|<br />
| <br />
|<br />
|-<br />
|Feb 5 '''Tuesday'''<br />
| [http://www.math.tamu.edu/~alexei.poltoratski/ Alexei Poltoratski] (Texas A&M University)<br />
|[[#Alexei Poltoratski (Texas A&M)| Completeness of exponentials: Beurling-Malliavin and type problems ]]<br />
| Denisov<br />
|<br />
|-<br />
|Feb 6 '''Wednesday'''<br />
| [https://lc-tsai.github.io/ Li-Cheng Tsai] (Columbia University)<br />
|[[#Li-Cheng Tsai (Columbia University)| When particle systems meet PDEs ]]<br />
| Anderson<br />
|<br />
|-<br />
|Feb 8<br />
| [https://sites.math.northwestern.edu/~anaber/ Aaron Naber] (Northwestern)<br />
|[[#Aaron Naber (Northwestern) | A structure theory for spaces with lower Ricci curvature bounds ]]<br />
| Street<br />
|<br />
|-<br />
|Feb 11 '''Monday'''<br />
| [https://www2.bc.edu/david-treumann/materials.html David Treumann] (Boston College)<br />
|[[#David Treumann (Boston College) | Twisting things in topology and symplectic topology by pth powers ]]<br />
| Caldararu<br />
|<br />
|-<br />
| Feb 13 '''Wednesday'''<br />
| [http://www.math.tamu.edu/~dbaskin/ Dean Baskin] (Texas A&M)<br />
|[[#Dean Baskin (Texas A&M) | Radiation fields for wave equations ]]<br />
| Street<br />
<br />
|-<br />
| Feb 15 <br />
| [https://services.math.duke.edu/~pierce/ Lillian Pierce] (Duke University)<br />
| [[#Lillian Pierce (Duke University) | Short character sums ]]<br />
| Boston and Street<br />
|<br />
|-<br />
|Feb 22<br />
| [https://people.math.osu.edu/cueto.5/ Angelica Cueto] (Ohio State)<br />
|[[# TBA| TBA ]]<br />
| Erman and Corey<br />
|<br />
|-<br />
|March 4<br />
| [http://www-users.math.umn.edu/~sverak/ Vladimir Sverak] (Minnesota) Wasow lecture<br />
|[[# TBA| TBA ]]<br />
| Kim<br />
|<br />
|-<br />
|March 8<br />
| [https://orion.math.iastate.edu/jmccullo/index.html Jason McCullough] (Iowa State)<br />
|[[# TBA| TBA ]]<br />
| Erman<br />
|<br />
|-<br />
|March 15<br />
| Maksym Radziwill (Caltech)<br />
|[[# TBA| TBA ]]<br />
| Marshall<br />
|<br />
|-<br />
|March 29<br />
| Jennifer Park (OSU)<br />
|[[# TBA| TBA ]]<br />
| Marshall<br />
|<br />
|-<br />
|April 5<br />
| Ju-Lee Kim (MIT)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|-<br />
|April 12<br />
| Evitar Procaccia (TAMU)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|-<br />
|April 19<br />
| [http://www.math.rice.edu/~jkn3/ Jo Nelson] (Rice University)<br />
|[[# TBA| TBA ]]<br />
| Jean-Luc<br />
|<br />
|-<br />
|April 26<br />
| [https://www.brown.edu/academics/applied-mathematics/faculty/kavita-ramanan/home Kavita Ramanan] (Brown University)<br />
|[[# TBA| TBA ]]<br />
| WIMAW<br />
|<br />
|-<br />
|May 3<br />
| Tomasz Przebinda (Oklahoma)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
===Beata Randrianantoanina (Miami University Ohio)===<br />
<br />
Title: Some nonlinear problems in the geometry of Banach spaces and their applications.<br />
<br />
Abstract: Nonlinear problems in the geometry of Banach spaces have been studied since the inception of the field. In this talk I will outline some of the history, some of modern applications, and some open directions of research. The talk will be accessible to graduate students of any field of mathematics.<br />
<br />
===Lillian Pierce (Duke University)===<br />
<br />
Title: Short character sums <br />
<br />
Abstract: A surprisingly diverse array of problems in analytic number theory have at their heart a problem of bounding (from above) an exponential sum, or its multiplicative cousin, a so-called character sum. For example, both understanding the Riemann zeta function or Dirichlet L-functions inside the critical strip, and also counting solutions to Diophantine equations via the circle method or power sieve methods, involve bounding such sums. In general, the sums of interest fall into one of two main regimes: complete sums or incomplete sums, with this latter regime including in particular “short sums.” Short sums are particularly useful, and particularly resistant to almost all known methods. In this talk, we will see what makes a sum “short,” sketch why it would be incredibly powerful to understand short sums, and discuss a curious proof from the 1950’s which is still the best way we know to bound short sums. We will end by describing new work which extends the ideas of this curious proof to bound short sums in much more general situations.<br />
<br />
===David Treumann (Boston College)===<br />
<br />
Title: Twisting things in topology and symplectic topology by pth powers<br />
<br />
Abstract: There's an old and popular analogy between circles and finite fields. I'll describe some constructions you can make in Lagrangian Floer theory and in microlocal sheaf theory by taking this analogy extremely literally, the main ingredient is an "F-field." An F-field on a manifold M is a local system of algebraically closed fields of characteristic p. When M is symplectic, maybe an F-field should remind you of a B-field, it can be used to change the Fukaya category in about the same way. On M = S^1 times R^3, this version of the Fukaya category is related to Deligne-Lusztig theory, and I found something like a cluster structure on the Deligne-Lusztig pairing varieties by studying it. On M = S^1 times S^1, Yanki Lekili and I have found that this version of the Fukaya category is related to the equal-characteristic version of the Fargues-Fontaine curve; the relationship is homological mirror symmetry.<br />
<br />
===Dean Baskin (Texas A&M)===<br />
<br />
Title: Radiation fields for wave equations<br />
<br />
Abstract: Radiation fields are rescaled limits of solutions of wave equations near "null infinity" and capture the radiation pattern seen by a distant observer. They are intimately connected with the Fourier and Radon transforms and with scattering theory. In this talk, I will define and discuss radiation fields in a few contexts, with an emphasis on spacetimes that look flat near infinity. The main result is a connection between the asymptotic behavior of the radiation field and a family of quantum objects on an associated asymptotically hyperbolic space.<br />
<br />
===Jianfeng Lu (Duke University)===<br />
<br />
Title: Density fitting: Analysis, algorithm and applications<br />
<br />
Abstract: Density fitting considers the low-rank approximation of pair products of eigenfunctions of Hamiltonian operators. It is a very useful tool with many applications in electronic structure theory. In this talk, we will discuss estimates of upper bound of the numerical rank of the pair products of eigenfunctions. We will also introduce the interpolative separable density fitting (ISDF) algorithm, which reduces the computational scaling of the low-rank approximation and can be used for efficient algorithms for electronic structure calculations. Based on joint works with Chris Sogge, Stefan Steinerberger, Kyle Thicke, and Lexing Ying.<br />
<br />
===Alexei Poltoratski (Texas A&M)===<br />
<br />
Title: Completeness of exponentials: Beurling-Malliavin and type problems<br />
<br />
Abstract: This talk is devoted to two old problems of harmonic analysis mentioned in the title. Both<br />
problems ask when a family of complex exponentials is complete (spans) an L^2-space. The Beruling-Malliavin<br />
problem was solved in the early 1960s and I will present its classical solution along with modern generalizations<br />
and applications. I will then discuss history and recent progress in the type problem, which stood open for<br />
more than 70 years.<br />
<br />
===Li-Cheng Tsai (Columbia University)===<br />
<br />
Title: When particle systems meet PDEs<br />
<br />
Interacting particle systems are models that involve many randomly evolving agents (i.e., particles). These systems are widely used in describing real-world phenomena. In this talk we will walk through three facets of interacting particle systems, namely the law of large numbers, random fluctuations, and large deviations. Within each facet, I will explain how Partial Differential Equations (PDEs) play a role in understanding the systems.<br />
<br />
===Aaron Naber (Northwestern)===<br />
<br />
Title: A structure theory for spaces with lower Ricci curvature bounds.<br />
<br />
Abstract: One should view manifolds (M^n,g) with lower Ricci curvature bounds as being those manifolds with a well behaved analysis, a point which can be rigorously stated. It thus becomes a natural question, how well behaved or badly behaved can such spaces be? This is a nonlinear analogue to asking how degenerate can a subharmonic or plurisubharmonic function look like. In this talk we give an essentially sharp answer to this question. The talk will require little background, and our time will be spent on understanding the basic statements and examples. The work discussed is joint with Cheeger, Jiang and with Li.<br />
<br />
== Past Colloquia ==<br />
<br />
[[Colloquia/Blank|Blank]]<br />
<br />
[[Colloquia/Fall2018|Fall 2018]]<br />
<br />
[[Colloquia/Spring2018|Spring 2018]]<br />
<br />
[[Colloquia/Fall2017|Fall 2017]]<br />
<br />
[[Colloquia/Spring2017|Spring 2017]]<br />
<br />
[[Archived Fall 2016 Colloquia|Fall 2016]]<br />
<br />
[[Colloquia/Spring2016|Spring 2016]]<br />
<br />
[[Colloquia/Fall2015|Fall 2015]]<br />
<br />
[[Colloquia/Spring2014|Spring 2015]]<br />
<br />
[[Colloquia/Fall2014|Fall 2014]]<br />
<br />
[[Colloquia/Spring2014|Spring 2014]]<br />
<br />
[[Colloquia/Fall2013|Fall 2013]]<br />
<br />
[[Colloquia 2012-2013|Spring 2013]]<br />
<br />
[[Colloquia 2012-2013#Fall 2012|Fall 2012]]</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Colloquia&diff=16818Colloquia2019-02-04T19:05:36Z<p>Anderson: </p>
<hr />
<div>= Mathematics Colloquium =<br />
<br />
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.<br />
<br />
==Spring 2019==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Jan 25 '''Room 911'''<br />
| [http://www.users.miamioh.edu/randrib/ Beata Randrianantoanina] (Miami University Ohio) WIMAW<br />
|[[#Beata Randrianantoanina (Miami University Ohio) | Some nonlinear problems in the geometry of Banach spaces and their applications ]]<br />
| Tullia Dymarz<br />
|<br />
|-<br />
|Jan 30 '''Wednesday'''<br />
| Talk rescheduled to Feb 15<br />
|<br />
|-<br />
|Jan 31 '''Thursday'''<br />
| Talk rescheduled to Feb 13<br />
|<br />
|-<br />
|Feb 1<br />
| Talk cancelled due to weather<br />
|<br />
| <br />
|<br />
|-<br />
|Feb 5 '''Tuesday'''<br />
| [http://www.math.tamu.edu/~alexei.poltoratski/ Alexei Poltoratski] (Texas A&M University)<br />
|[[#Alexei Poltoratski (Texas A&M)| Completeness of exponentials: Beurling-Malliavin and type problems ]]<br />
| Denisov<br />
|<br />
|-<br />
|Feb 6 '''Wednesday'''<br />
| [https://lc-tsai.github.io/ Li-Cheng Tsai] (Columbia University)<br />
|[[#Li-Cheng Tsai (Columbia University)| When particle systems meet PDEs ]]<br />
| Anderson<br />
|<br />
|-<br />
|Feb 8<br />
| [https://sites.math.northwestern.edu/~anaber/ Aaron Naber] (Northwestern)<br />
|[[#Aaron Naber (Northwestern) | A structure theory for spaces with lower Ricci curvature bounds ]]<br />
| Street<br />
|<br />
|-<br />
|Feb 11 '''Monday'''<br />
| [https://www2.bc.edu/david-treumann/materials.html David Treumann] (Boston College)<br />
|[[#David Treumann (Boston College) | Twisting things in topology and symplectic topology by pth powers ]]<br />
| Caldararu<br />
|<br />
|-<br />
| Feb 13 '''Wednesday'''<br />
| [http://www.math.tamu.edu/~dbaskin/ Dean Baskin] (Texas A&M)<br />
|[[#Dean Baskin (Texas A&M) | Radiation fields for wave equations ]]<br />
| Street<br />
<br />
|-<br />
| Feb 15 <br />
| [https://services.math.duke.edu/~pierce/ Lillian Pierce] (Duke University)<br />
| [[#Lillian Pierce (Duke University) | Short character sums ]]<br />
| Boston and Street<br />
|<br />
|-<br />
|Feb 22<br />
| [https://people.math.osu.edu/cueto.5/ Angelica Cueto] (Ohio State)<br />
|[[# TBA| TBA ]]<br />
| Erman and Corey<br />
|<br />
|-<br />
|March 4<br />
| [http://www-users.math.umn.edu/~sverak/ Vladimir Sverak] (Minnesota) Wasow lecture<br />
|[[# TBA| TBA ]]<br />
| Kim<br />
|<br />
|-<br />
|March 8<br />
| [https://orion.math.iastate.edu/jmccullo/index.html Jason McCullough] (Iowa State)<br />
|[[# TBA| TBA ]]<br />
| Erman<br />
|<br />
|-<br />
|March 15<br />
| Maksym Radziwill (Caltech)<br />
|[[# TBA| TBA ]]<br />
| Marshall<br />
|<br />
|-<br />
|March 29<br />
| Jennifer Park (OSU)<br />
|[[# TBA| TBA ]]<br />
| Marshall<br />
|<br />
|-<br />
|April 5<br />
| Ju-Lee Kim (MIT)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|-<br />
|April 12<br />
| Evitar Procaccia (TAMU)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|-<br />
|April 19<br />
| [http://www.math.rice.edu/~jkn3/ Jo Nelson] (Rice University)<br />
|[[# TBA| TBA ]]<br />
| Jean-Luc<br />
|<br />
|-<br />
|April 26<br />
| [https://www.brown.edu/academics/applied-mathematics/faculty/kavita-ramanan/home Kavita Ramanan] (Brown University)<br />
|[[# TBA| TBA ]]<br />
| WIMAW<br />
|<br />
|-<br />
|May 3<br />
| Tomasz Przebinda (Oklahoma)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
===Beata Randrianantoanina (Miami University Ohio)===<br />
<br />
Title: Some nonlinear problems in the geometry of Banach spaces and their applications.<br />
<br />
Abstract: Nonlinear problems in the geometry of Banach spaces have been studied since the inception of the field. In this talk I will outline some of the history, some of modern applications, and some open directions of research. The talk will be accessible to graduate students of any field of mathematics.<br />
<br />
===Lillian Pierce (Duke University)===<br />
<br />
Title: Short character sums <br />
<br />
Abstract: A surprisingly diverse array of problems in analytic number theory have at their heart a problem of bounding (from above) an exponential sum, or its multiplicative cousin, a so-called character sum. For example, both understanding the Riemann zeta function or Dirichlet L-functions inside the critical strip, and also counting solutions to Diophantine equations via the circle method or power sieve methods, involve bounding such sums. In general, the sums of interest fall into one of two main regimes: complete sums or incomplete sums, with this latter regime including in particular “short sums.” Short sums are particularly useful, and particularly resistant to almost all known methods. In this talk, we will see what makes a sum “short,” sketch why it would be incredibly powerful to understand short sums, and discuss a curious proof from the 1950’s which is still the best way we know to bound short sums. We will end by describing new work which extends the ideas of this curious proof to bound short sums in much more general situations.<br />
<br />
===David Treumann (Boston College)===<br />
<br />
Title: Twisting things in topology and symplectic topology by pth powers<br />
<br />
Abstract: There's an old and popular analogy between circles and finite fields. I'll describe some constructions you can make in Lagrangian Floer theory and in microlocal sheaf theory by taking this analogy extremely literally, the main ingredient is an "F-field." An F-field on a manifold M is a local system of algebraically closed fields of characteristic p. When M is symplectic, maybe an F-field should remind you of a B-field, it can be used to change the Fukaya category in about the same way. On M = S^1 times R^3, this version of the Fukaya category is related to Deligne-Lusztig theory, and I found something like a cluster structure on the Deligne-Lusztig pairing varieties by studying it. On M = S^1 times S^1, Yanki Lekili and I have found that this version of the Fukaya category is related to the equal-characteristic version of the Fargues-Fontaine curve; the relationship is homological mirror symmetry.<br />
<br />
===Dean Baskin (Texas A&M)===<br />
<br />
Title: Radiation fields for wave equations<br />
<br />
Abstract: Radiation fields are rescaled limits of solutions of wave equations near "null infinity" and capture the radiation pattern seen by a distant observer. They are intimately connected with the Fourier and Radon transforms and with scattering theory. In this talk, I will define and discuss radiation fields in a few contexts, with an emphasis on spacetimes that look flat near infinity. The main result is a connection between the asymptotic behavior of the radiation field and a family of quantum objects on an associated asymptotically hyperbolic space.<br />
<br />
===Jianfeng Lu (Duke University)===<br />
<br />
Title: Density fitting: Analysis, algorithm and applications<br />
<br />
Abstract: Density fitting considers the low-rank approximation of pair products of eigenfunctions of Hamiltonian operators. It is a very useful tool with many applications in electronic structure theory. In this talk, we will discuss estimates of upper bound of the numerical rank of the pair products of eigenfunctions. We will also introduce the interpolative separable density fitting (ISDF) algorithm, which reduces the computational scaling of the low-rank approximation and can be used for efficient algorithms for electronic structure calculations. Based on joint works with Chris Sogge, Stefan Steinerberger, Kyle Thicke, and Lexing Ying.<br />
<br />
===Alexei Poltoratski (Texas A&M)===<br />
<br />
Title: Completeness of exponentials: Beurling-Malliavin and type problems<br />
<br />
Abstract: This talk is devoted to two old problems of harmonic analysis mentioned in the title. Both<br />
problems ask when a family of complex exponentials is complete (spans) an L^2-space. The Beruling-Malliavin<br />
problem was solved in the early 1960s and I will present its classical solution along with modern generalizations<br />
and applications. I will then discuss history and recent progress in the type problem, which stood open for<br />
more than 70 years.<br />
<br />
===Aaron Naber (Northwestern)===<br />
<br />
Title: A structure theory for spaces with lower Ricci curvature bounds.<br />
<br />
Abstract: One should view manifolds (M^n,g) with lower Ricci curvature bounds as being those manifolds with a well behaved analysis, a point which can be rigorously stated. It thus becomes a natural question, how well behaved or badly behaved can such spaces be? This is a nonlinear analogue to asking how degenerate can a subharmonic or plurisubharmonic function look like. In this talk we give an essentially sharp answer to this question. The talk will require little background, and our time will be spent on understanding the basic statements and examples. The work discussed is joint with Cheeger, Jiang and with Li.<br />
<br />
== Past Colloquia ==<br />
<br />
[[Colloquia/Blank|Blank]]<br />
<br />
[[Colloquia/Fall2018|Fall 2018]]<br />
<br />
[[Colloquia/Spring2018|Spring 2018]]<br />
<br />
[[Colloquia/Fall2017|Fall 2017]]<br />
<br />
[[Colloquia/Spring2017|Spring 2017]]<br />
<br />
[[Archived Fall 2016 Colloquia|Fall 2016]]<br />
<br />
[[Colloquia/Spring2016|Spring 2016]]<br />
<br />
[[Colloquia/Fall2015|Fall 2015]]<br />
<br />
[[Colloquia/Spring2014|Spring 2015]]<br />
<br />
[[Colloquia/Fall2014|Fall 2014]]<br />
<br />
[[Colloquia/Spring2014|Spring 2014]]<br />
<br />
[[Colloquia/Fall2013|Fall 2013]]<br />
<br />
[[Colloquia 2012-2013|Spring 2013]]<br />
<br />
[[Colloquia 2012-2013#Fall 2012|Fall 2012]]</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability&diff=15850Probability2018-09-04T16:05:09Z<p>Anderson: </p>
<hr />
<div>__NOTOC__<br />
<br />
= '''Probability at UW-Madison''' =<br />
<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson] (Duke, 2005) applied probability, numerical methods, mathematical biology.<br />
<br />
[http://www.math.wisc.edu/~roch/ Sebastien Roch] (UC Berkeley, 2007) applied probability, mathematical biology, theoretical computer science.<br />
<br />
[http://www.math.wisc.edu/~seppalai/ Timo Seppäläinen] (Minnesota, 1991) motion in a random medium, random growth models, interacting particle systems, large deviation theory.<br />
<br />
Hao Shen (Princeton, 2013) stochastic partial differential equations, integrable probability<br />
<br />
[http://www.math.wisc.edu/~valko/ Benedek Valko] (Budapest, 2004) interacting particle systems, random matrices.<br />
<br />
[http://www.math.wisc.edu/~pmwood/ Philip Matchett Wood] (Rutgers, 2009) combinatorics, random matrices.<br />
<br />
<br />
== Emeriti ==<br />
<br />
[http://psoup.math.wisc.edu/kitchen.html David Griffeath] (Cornell, 1976)<br />
<br />
[http://www.math.wisc.edu/~kuelbs Jim Kuelbs] (Minnesota, 1965)<br />
<br />
[http://www.math.wisc.edu/~kurtz Tom Kurtz] (Stanford, 1967)<br />
<br />
Peter Ney (Columbia, 1961)<br />
<br />
Josh Chover (Michigan, 1952)<br />
<br />
== Graduate students ==<br />
<br />
<br />
[http://www.math.wisc.edu/~kehlert/ Kurt Ehlert] <br />
<br />
[http://www.math.wisc.edu/~kang Dae Han Kang]<br />
<br />
[https://sites.google.com/a/wisc.edu/brandon-legried/ Brandon Legried]<br />
<br />
Yun Li<br />
<br />
[http://sites.google.com/a/wisc.edu/tung-nguyen/ Tung Nguyen]<br />
<br />
[http://www.math.wisc.edu/~cyuan25/ Chaojie Yuan]<br />
<br />
<br />
<br />
== [[Probability Seminar]] ==<br />
<br />
Thursdays at 2:25pm, VV901<br />
<br />
==[[Graduate student reading seminar]]==<br />
<br />
Email list: join-grad_prob_seminar@lists.wisc.edu<br />
<br />
Tuesdays, 2:30pm, 901 Van Vleck<br />
<br />
== [[Probability group timetable]]==<br />
<br />
== [[Undergraduate courses in probability]]==<br />
<br />
== Graduate Courses in Probability ==<br />
<br />
<br />
<br />
'''2018 Fall'''<br />
<br />
[https://www.math.wisc.edu/~anderson/733F18/733.htmll Math/Stat 733 Theory of Probability I]<br />
<br />
Math 735 Stochastic Analysis<br />
<br />
<br />
<br />
'''2017 Spring'''<br />
<br />
Math/Stat 734 Theory of Probability II <br />
<br />
Math 833 Topics in Probability: Random Matrix Theory</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability&diff=15849Probability2018-09-04T16:04:29Z<p>Anderson: </p>
<hr />
<div>__NOTOC__<br />
<br />
= '''Probability at UW-Madison''' =<br />
<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson] (Duke, 2005) applied probability, numerical methods, mathematical biology.<br />
<br />
[http://www.math.wisc.edu/~roch/ Sebastien Roch] (UC Berkeley, 2007) applied probability, mathematical biology, theoretical computer science.<br />
<br />
[http://www.math.wisc.edu/~seppalai/ Timo Seppäläinen] (Minnesota, 1991) motion in a random medium, random growth models, interacting particle systems, large deviation theory.<br />
<br />
Hao Shen (Princeton, 2013) stochastic partial differential equations, integrable probability<br />
<br />
[http://www.math.wisc.edu/~valko/ Benedek Valko] (Budapest, 2004) interacting particle systems, random matrices.<br />
<br />
[http://www.math.wisc.edu/~pmwood/ Philip Matchett Wood] (Rutgers, 2009) combinatorics, random matrices.<br />
<br />
<br />
== Emeriti ==<br />
<br />
[http://psoup.math.wisc.edu/kitchen.html David Griffeath] (Cornell, 1976)<br />
<br />
[http://www.math.wisc.edu/~kuelbs Jim Kuelbs] (Minnesota, 1965)<br />
<br />
[http://www.math.wisc.edu/~kurtz Tom Kurtz] (Stanford, 1967)<br />
<br />
Peter Ney (Columbia, 1961)<br />
<br />
Josh Chover (Michigan, 1952)<br />
<br />
== Graduate students ==<br />
<br />
<br />
[http://www.math.wisc.edu/~kehlert/ Kurt Ehlert] <br />
<br />
[http://www.math.wisc.edu/~kang Dae Han Kang]<br />
<br />
[https://sites.google.com/a/wisc.edu/brandon-legried/ Brandon Legried]<br />
<br />
Yun Li<br />
<br />
[http://https://sites.google.com/a/wisc.edu/tung-nguyen/ Tung Nguyen]<br />
<br />
[http://www.math.wisc.edu/~cyuan25/ Chaojie Yuan]<br />
<br />
<br />
<br />
== [[Probability Seminar]] ==<br />
<br />
Thursdays at 2:25pm, VV901<br />
<br />
==[[Graduate student reading seminar]]==<br />
<br />
Email list: join-grad_prob_seminar@lists.wisc.edu<br />
<br />
Tuesdays, 2:30pm, 901 Van Vleck<br />
<br />
== [[Probability group timetable]]==<br />
<br />
== [[Undergraduate courses in probability]]==<br />
<br />
== Graduate Courses in Probability ==<br />
<br />
<br />
<br />
'''2018 Fall'''<br />
<br />
[https://www.math.wisc.edu/~anderson/733F18/733.htmll Math/Stat 733 Theory of Probability I]<br />
<br />
Math 735 Stochastic Analysis<br />
<br />
<br />
<br />
'''2017 Spring'''<br />
<br />
Math/Stat 734 Theory of Probability II <br />
<br />
Math 833 Topics in Probability: Random Matrix Theory</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_group_timetable&diff=14122Probability group timetable2017-09-13T02:35:38Z<p>Anderson: </p>
<hr />
<div>{| border="2"<br />
| ||Monday||Tuesday||Wednesday||Thursday||Friday<br />
|-<br />
| 9-10|| Sebastien 431 || || Sebastien 431 || || Sebastien 431 <br />
|- <br />
| 10-11|| Louis 211; Phil OH || || Louis 211 || || Louis 211; Phil OH <br />
|-<br />
| 11-12|| Daniele 632, Timo OH || ||Daniele 632, Timo OH || ||Daniele 632 <br />
|-<br />
| 12-1|| Phil 211 || || Phil 211 || || Phil 211 <br />
|-<br />
| 1-2|| || Timo 733; Dave OH || Dave OH || Timo 733 ||<br />
|-<br />
| 2-3|| Sebastien 833; Daniele 632 || graduate probability seminar (2:25); Dave OH || Sebastien 833; Daniele 632; qBio seminars (2pm) || probability seminar (2:25) || Sebastien 833; Daniele 632<br />
|-<br />
| 3-4|| Dave 221 (3:30 - 4:20) || Dave OH ||Dave 221 (3:30 - 4:20); Daniele OH || Faculty meeting time || Dave 221 (3:30 - 4:20)<br />
|-<br />
| 4-5|| || || Daniele OH || || colloquium<br />
|-<br />
| 5-6|| || || || ||<br />
|}<br />
<br />
<br />
<!-- <br />
{| border="2"<br />
| ||Monday||Tuesday||Wednesday||Thursday||Friday<br />
|-<br />
| 9-10|| Timo 431, Kurt 222|| Benedek 431, Sebastien 632, Louis 735 (9:30), Kurt CS719 || Timo 431, Kurt 222 || Benedek 431, Sebastien 632, Louis 735 (9:30), Kurt CS719 || Timo 431<br />
|-<br />
| 10-11|| Kurt 222, Hans 234 || Phil out all day, Kurt 735 || Kurt 222, Hans 234 || Kurt 735 || Phil out all day, Hans 234 <br />
|-<br />
| 11-12|| Jinsu 375, Kurt 222, Hans 846, Christian 846 || Jinsu 375, Kurt 703 || Jinsu 375, Kurt 222, Hans 846, Christian 846 || Jinsu 375, Kurt 703 || Hans 846, Christian 846<br />
|-<br />
| 12-1|| Dave 431, Jinsu 375 || Kurt 703 (12:15) || Dave 431, Jinsu 375 || Kurt 703 (12:15) || Dave 431 <br />
|-<br />
| 1-2|| || Sebastien 632, Benedek 733, Jinsu 801, Hans 234 || || Sebastien 632, Benedek 733, Jinsu 801, Hans 234 ||<br />
|-<br />
| 2-3|| Daniele 431 (2:25) || graduate probability seminar (2:25) || Daniele 431 (2:25) || probability seminar (2:25) || Daniele 431 (2:25)<br />
|-<br />
| 3-4|| || Kurt 222, Hans 234 || || Kurt 222, Hans 234 || <br />
|-<br />
| 4-5|| || || || || colloquium<br />
|-<br />
| 5-6|| || || || ||<br />
|}<br />
--><br />
<br />
<!--<br />
{| border="2"<br />
| ||Monday||Tuesday||Wednesday||Thursday||Friday<br />
|-<br />
| 9-10|| Phil out all day || Benedek 531 (9:30)|| || Benedek 531 (9:30) || Phil out all day<br />
|-<br />
| 10-11||Jinsu 722, Louis 431 || || Jinsu 722, Louis 431|| ||Jinsu 722, Louis 431<br />
|-<br />
| 11-12|| || Hans 820 || || Hans 820 ||<br />
|-<br />
| 12-1|| Jinsu 222, Louis 632 || ||Jinsu 222, Louis 632 || || Jinsu 222, Louis 632<br />
|-<br />
| 1-2|| Jinsu 222, Hans 851 || Benedek OH, Hans 843 || Jinsu 222, Hans 851|| Hans 843 ||Jinsu 222, Hans 851<br />
|-<br />
| 2-3|| || graduate probability seminar (2:25) || Louis (Seb) || probability seminar (2:25) ||<br />
|-<br />
| 3-4|| ||Benedek (OH (3:30) || Benedek OH || || <br />
|-<br />
| 4-5|| || || Louis (OH 4:30)|| Louis (OH 4:30)|| colloquium<br />
|-<br />
| 5-6|| || || || ||<br />
|}<br />
--></div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_group_timetable&diff=14121Probability group timetable2017-09-13T02:35:01Z<p>Anderson: </p>
<hr />
<div>{| border="2"<br />
| ||Monday||Tuesday||Wednesday||Thursday||Friday<br />
|-<br />
| 9-10|| Sebastien 431 || || Sebastien 431 || || Sebastien 431 <br />
|- <br />
| 10-11|| Louis 211; Phil OH || || Louis 211 || || Louis 211; Phil OH <br />
|-<br />
| 11-12|| Daniele 632, Timo OH || ||Daniele 632, Timo OH || ||Daniele 632 <br />
|-<br />
| 12-1|| Phil 211 || || Phil 211 || || Phil 211 <br />
|-<br />
| 1-2|| || Timo 733 || || Timo 733 ||<br />
|-<br />
| 2-3|| Sebastien 833; Daniele 632 || graduate probability seminar (2:25) || Sebastien 833; Daniele 632; qBio seminars (2pm) || probability seminar (2:25) || Sebastien 833; Daniele 632<br />
|-<br />
| 3-4|| Dave 221 (3:30 - 4:20) || ||Dave 221 (3:30 - 4:20); Daniele OH || Faculty meeting time || Dave 221 (3:30 - 4:20)<br />
|-<br />
| 4-5|| || || Daniele OH || || colloquium<br />
|-<br />
| 5-6|| || || || ||<br />
|}<br />
<br />
<br />
<!-- <br />
{| border="2"<br />
| ||Monday||Tuesday||Wednesday||Thursday||Friday<br />
|-<br />
| 9-10|| Timo 431, Kurt 222|| Benedek 431, Sebastien 632, Louis 735 (9:30), Kurt CS719 || Timo 431, Kurt 222 || Benedek 431, Sebastien 632, Louis 735 (9:30), Kurt CS719 || Timo 431<br />
|-<br />
| 10-11|| Kurt 222, Hans 234 || Phil out all day, Kurt 735 || Kurt 222, Hans 234 || Kurt 735 || Phil out all day, Hans 234 <br />
|-<br />
| 11-12|| Jinsu 375, Kurt 222, Hans 846, Christian 846 || Jinsu 375, Kurt 703 || Jinsu 375, Kurt 222, Hans 846, Christian 846 || Jinsu 375, Kurt 703 || Hans 846, Christian 846<br />
|-<br />
| 12-1|| Dave 431, Jinsu 375 || Kurt 703 (12:15) || Dave 431, Jinsu 375 || Kurt 703 (12:15) || Dave 431 <br />
|-<br />
| 1-2|| || Sebastien 632, Benedek 733, Jinsu 801, Hans 234 || || Sebastien 632, Benedek 733, Jinsu 801, Hans 234 ||<br />
|-<br />
| 2-3|| Daniele 431 (2:25) || graduate probability seminar (2:25) || Daniele 431 (2:25) || probability seminar (2:25) || Daniele 431 (2:25)<br />
|-<br />
| 3-4|| || Kurt 222, Hans 234 || || Kurt 222, Hans 234 || <br />
|-<br />
| 4-5|| || || || || colloquium<br />
|-<br />
| 5-6|| || || || ||<br />
|}<br />
--><br />
<br />
<!--<br />
{| border="2"<br />
| ||Monday||Tuesday||Wednesday||Thursday||Friday<br />
|-<br />
| 9-10|| Phil out all day || Benedek 531 (9:30)|| || Benedek 531 (9:30) || Phil out all day<br />
|-<br />
| 10-11||Jinsu 722, Louis 431 || || Jinsu 722, Louis 431|| ||Jinsu 722, Louis 431<br />
|-<br />
| 11-12|| || Hans 820 || || Hans 820 ||<br />
|-<br />
| 12-1|| Jinsu 222, Louis 632 || ||Jinsu 222, Louis 632 || || Jinsu 222, Louis 632<br />
|-<br />
| 1-2|| Jinsu 222, Hans 851 || Benedek OH, Hans 843 || Jinsu 222, Hans 851|| Hans 843 ||Jinsu 222, Hans 851<br />
|-<br />
| 2-3|| || graduate probability seminar (2:25) || Louis (Seb) || probability seminar (2:25) ||<br />
|-<br />
| 3-4|| ||Benedek (OH (3:30) || Benedek OH || || <br />
|-<br />
| 4-5|| || || Louis (OH 4:30)|| Louis (OH 4:30)|| colloquium<br />
|-<br />
| 5-6|| || || || ||<br />
|}<br />
--></div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_group_timetable&diff=13080Probability group timetable2017-01-20T16:40:05Z<p>Anderson: </p>
<hr />
<div>{| border="2"<br />
| ||Monday||Tuesday||Wednesday||Thursday||Friday<br />
|-<br />
| 9-10|| 431 || 431 (Phil), 632, 833, 531 || 431 || 431 (Phil), 632, 833, 531 || 431, Dave OH<br />
|- <br />
| 10-11|| || Phil OH, Dave OH || || || <br />
|-<br />
| 11-12|| || || || || <br />
|-<br />
| 12-1|| 632 || 734 (Phil), 431 || 632 || 734 (Phil), 431 || 632<br />
|-<br />
| 1-2|| || || || ||<br />
|-<br />
| 2-3|| || graduate probability seminar (2:25) |||| probability seminar (2:25) || <br />
|-<br />
| 3-4|| || || || || <br />
|-<br />
| 4-5|| || || || || colloquium<br />
|-<br />
| 5-6|| || || || ||<br />
|}<br />
<br />
<br />
<!-- <br />
{| border="2"<br />
| ||Monday||Tuesday||Wednesday||Thursday||Friday<br />
|-<br />
| 9-10|| Timo 431, Kurt 222|| Benedek 431, Sebastien 632, Louis 735 (9:30), Kurt CS719 || Timo 431, Kurt 222 || Benedek 431, Sebastien 632, Louis 735 (9:30), Kurt CS719 || Timo 431<br />
|-<br />
| 10-11|| Kurt 222, Hans 234 || Phil out all day, Kurt 735 || Kurt 222, Hans 234 || Kurt 735 || Phil out all day, Hans 234 <br />
|-<br />
| 11-12|| Jinsu 375, Kurt 222, Hans 846, Christian 846 || Jinsu 375, Kurt 703 || Jinsu 375, Kurt 222, Hans 846, Christian 846 || Jinsu 375, Kurt 703 || Hans 846, Christian 846<br />
|-<br />
| 12-1|| Dave 431, Jinsu 375 || Kurt 703 (12:15) || Dave 431, Jinsu 375 || Kurt 703 (12:15) || Dave 431 <br />
|-<br />
| 1-2|| || Sebastien 632, Benedek 733, Jinsu 801, Hans 234 || || Sebastien 632, Benedek 733, Jinsu 801, Hans 234 ||<br />
|-<br />
| 2-3|| Daniele 431 (2:25) || graduate probability seminar (2:25) || Daniele 431 (2:25) || probability seminar (2:25) || Daniele 431 (2:25)<br />
|-<br />
| 3-4|| || Kurt 222, Hans 234 || || Kurt 222, Hans 234 || <br />
|-<br />
| 4-5|| || || || || colloquium<br />
|-<br />
| 5-6|| || || || ||<br />
|}<br />
--><br />
<br />
<!--<br />
{| border="2"<br />
| ||Monday||Tuesday||Wednesday||Thursday||Friday<br />
|-<br />
| 9-10|| Phil out all day || Benedek 531 (9:30)|| || Benedek 531 (9:30) || Phil out all day<br />
|-<br />
| 10-11||Jinsu 722, Louis 431 || || Jinsu 722, Louis 431|| ||Jinsu 722, Louis 431<br />
|-<br />
| 11-12|| || Hans 820 || || Hans 820 ||<br />
|-<br />
| 12-1|| Jinsu 222, Louis 632 || ||Jinsu 222, Louis 632 || || Jinsu 222, Louis 632<br />
|-<br />
| 1-2|| Jinsu 222, Hans 851 || Benedek OH, Hans 843 || Jinsu 222, Hans 851|| Hans 843 ||Jinsu 222, Hans 851<br />
|-<br />
| 2-3|| || graduate probability seminar (2:25) || Louis (Seb) || probability seminar (2:25) ||<br />
|-<br />
| 3-4|| ||Benedek (OH (3:30) || Benedek OH || || <br />
|-<br />
| 4-5|| || || Louis (OH 4:30)|| Louis (OH 4:30)|| colloquium<br />
|-<br />
| 5-6|| || || || ||<br />
|}<br />
--></div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_group_timetable&diff=10061Probability group timetable2015-08-30T22:09:13Z<p>Anderson: </p>
<hr />
<div>{| border="2"<br />
| ||Monday||Tuesday||Wednesday||Thursday||Friday<br />
|-<br />
| 9-10|| || Kurt 221, Chiara 221, Jun 431|| || Kurt 221, Chiara 221 , Jun 431, Phil OH || <br />
|-<br />
| 10-11|| Kurt 721, Chiara 721, Jinsu 221, Elnur 171, Hans 827 || Kurt 221 , Jun 431, Chris 222, , Phil OH (10:30)|| Kurt 721, Chiara 721, Jinsu 221, Elnur 171, Hans 827 || Kurt 221 , Jun 431, Chris 222|| Kurt 721, Chiara 721, Jinsu 221, Elnur 171, Hans 827<br />
|-<br />
| 11-12|| Chiara 221, Jinsu 221, Hans 846 || Chiara 703, Chris 222 || Chiara 221, Jinsu 221, Hans 846 || Chiara 703, Chris 222 || Chiara 221, Jinsu 221, Hans 846<br />
|-<br />
| 12-1|| Dave 605, Sebastien 632, Kurt 714, Louis 431, Hans 856, Chris 222 || Hans 234 || Dave 605, Sebastien 632, Kurt 714, Louis 431, Hans 856 || Hans 234, Chris 222 || Dave 605, Sebastien 632, Kurt 721, Louis 431, Hans 856, Chris 222 <br />
|-<br />
| 1-2|| Dave OH (1:20-2:20) || Kurt 733, Chiara 733, Phil 733, Hans 234 || || Kurt 733, Chiara 733, Phil 733, Hans 234 || <br />
|-<br />
| 2-3|| Benedek 431 (2:25) || reading seminar (2:25pm) || Benedek 431 (2:25), Dave OH (2:30-4:30) || probability seminar (2:25pm) || Benedek 431 (2:25)<br />
|-<br />
| 3-4|| Benedek OH (3:30), Kurt 221 (3:30), PDE Seminar (3:30) || Benedek OH (3:30), Dave OH (3:30) || Benedek OH (3:30), Kurt 221 (3:30), Dave OH || || Kurt 221 (3:30)<br />
|-<br />
| 4-5|| Kurt 221 (4:20) || Analysis Seminar || Kurt 221 (4:20), Louis OH (4:30), Dave OH (2:30-4:30) || || Colloquium, Kurt 221 (4:20)<br />
|-<br />
| 5-6|| || Jun 431 || Jun 431 || ||<br />
|}</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_group_timetable&diff=10060Probability group timetable2015-08-30T22:08:00Z<p>Anderson: </p>
<hr />
<div>{| border="2"<br />
| ||Monday||Tuesday||Wednesday||Thursday||Friday<br />
|-<br />
| 9-10|| || Kurt 221, Chiara 221, Jun 431|| || Kurt 221, Chiara 221 , Jun 431, Phil OH || <br />
|-<br />
| 10-11|| Kurt 721, Chiara 721, Jinsu 221, Elnur 171, Hans 827 || Kurt 221 , Jun 431, Chris 222, , Phil OH (10:30)|| Kurt 721, Chiara 721, Jinsu 221, Elnur 171, Hans 827 || Kurt 221 , Jun 431, Chris 222|| Kurt 721, Chiara 721, Jinsu 221, Elnur 171, Hans 827<br />
|-<br />
| 11-12|| Chiara 221, Jinsu 221, Hans 846 || Chiara 703, Chris 222 || Chiara 221, Jinsu 221, Hans 846 || Chiara 703, Chris 222 || Chiara 221, Jinsu 221, Hans 846<br />
|-<br />
| 12-1|| Dave 605, Sebastien 632, Kurt 714, Louis 431, Hans 856, Chris 222 || Hans 234 || Dave 605, Sebastien 632, Kurt 714, Louis 431, Hans 856 || Hans 234, Chris 222 || Dave 605, Sebastien 632, Kurt 721, Louis 431, Hans 856, Chris 222 <br />
|-<br />
| 1-2|| Dave OH (1:20-2:20) || Kurt 733, Chiara 733, Phil 733, Hans 234 || || Kurt 733, Chiara 733, Phil 733, Hans 234 || <br />
|-<br />
| 2-3|| Benedek 431 (2:25) || reading seminar (2:25pm) || Benedek 431 (2:25) || probability seminar (2:25pm) || Benedek 431 (2:25)<br />
|-<br />
| 3-4|| Benedek OH (3:30), Kurt 221 (3:30), PDE Seminar (3:30) || Benedek OH (3:30) Dave OH (3:30) || Benedek OH (3:30), Kurt 221 (3:30) || || Kurt 221 (3:30)<br />
|-<br />
| 4-5|| Kurt 221 (4:20) || Analysis Seminar || Kurt 221 (4:20), Louis OH (4:30) || || Colloquium, Kurt 221 (4:20)<br />
|-<br />
| 5-6|| || Jun 431 || Jun 431 || ||<br />
|}</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_group_timetable&diff=10059Probability group timetable2015-08-30T22:07:13Z<p>Anderson: </p>
<hr />
<div>{| border="2"<br />
| ||Monday||Tuesday||Wednesday||Thursday||Friday<br />
|-<br />
| 9-10|| || Kurt 221, Chiara 221, Jun 431|| || Kurt 221, Chiara 221 , Jun 431, Phil OH || <br />
|-<br />
| 10-11|| Kurt 721, Chiara 721, Jinsu 221, Elnur 171, Hans 827 || Kurt 221 , Jun 431, Chris 222, , Phil OH (10:30)|| Kurt 721, Chiara 721, Jinsu 221, Elnur 171, Hans 827 || Kurt 221 , Jun 431, Chris 222|| Kurt 721, Chiara 721, Jinsu 221, Elnur 171, Hans 827<br />
|-<br />
| 11-12|| Chiara 221, Jinsu 221, Hans 846 || Chiara 703, Chris 222 || Chiara 221, Jinsu 221, Hans 846 || Chiara 703, Chris 222 || Chiara 221, Jinsu 221, Hans 846<br />
|-<br />
| 12-1|| Dave 605, Sebastien 632, Kurt 714, Louis 431, Hans 856, Chris 222 || Hans 234 || Dave 605, Sebastien 632, Kurt 714, Louis 431, Hans 856 || Hans 234, Chris 222 || Dave 605, Sebastien 632, Kurt 721, Louis 431, Hans 856, Chris 222 <br />
|-<br />
| 1-2|| Dave OH (1:20-2:20) || Kurt 733, Chiara 733, Phil 733, Hans 234 || || Kurt 733, Chiara 733, Phil 733, Hans 234 || <br />
|-<br />
| 2-3|| Benedek 431 (2:25) || reading seminar (2:25pm) || Benedek 431 (2:25) || probability seminar (2:25pm) || Benedek 431 (2:25)<br />
|-<br />
| 3-4|| Benedek OH (3:30), Kurt 221 (3:30), PDE Seminar (3:30) || Benedek OH (3:30) || Benedek OH (3:30), Kurt 221 (3:30) || || Kurt 221 (3:30)<br />
|-<br />
| 4-5|| Kurt 221 (4:20) || Analysis Seminar || Kurt 221 (4:20), Louis OH (4:30) || || Colloquium, Kurt 221 (4:20)<br />
|-<br />
| 5-6|| || Jun 431 || Jun 431 || ||<br />
|}</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Networks_Seminar&diff=9451Networks Seminar2015-03-03T03:18:27Z<p>Anderson: </p>
<hr />
<div>__NOTOC__<br />
<br />
= Introduction and Overview =<br />
<br />
Networks arise in many scientific applications, from resource allocation/transportation problems, to electrical engineering networks, to the study of biochemical reactions systems. While the intended applications and analytic techniques vary significantly in these disciplines, the core goal remains the same: to extract as much information as possible about the dynamical behaviors of the resulting systems from the structure of the network itself.<br />
<br />
= Organization and Contacts =<br />
<br />
The Networks Seminar is currently organized by Matthew D. Johnston, David F. Anderson, and Gheorghe Craciun. Contact information, including how to join the mailing list, is contained below:<br />
<br />
Matthew D. Johnston<br><br />
<b>Tel:</b> 608-263-2727<br><br />
<b>Email:</b> mjohnston3[at]wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~mjohnston3 www.math.wisc.edu/~mjohnston3]<br />
<br />
David F. Anderson<br><br />
<b>Tel:</b> 608-263-4943<br><br />
<b>Email:</b> anderson[at]math.wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~anderson www.math.wisc.edu/~anderson]<br />
<br />
Gheorghe Craciun<br><br />
<b>Tel:</b> 608-265-3391<br><br />
<b>Email:</b> craciun[at]math.wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~craciun www.math.wisc.edu/~craciun]<br />
<br />
<b>Join Mailing List:</b> join-math-networks-seminar[at]lists.wisc.edu<br />
<br />
<b>Email Mailing List:</b> networksem[at]math.wisc.edu<br />
<br />
= Spring 2015 =<br />
<br />
The seminar will take place on <b>Wednesdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. <br />
<br />
== January 30, February 4, and February 11 (2:00 p.m. in Van Vleck 901), [http://www.math.wisc.edu/~craciun/ Gheorghe Craciun] (UW-Madison) ==<br />
<br />
<b>Title:</b> Toric Differential Inclusions and a Proof of the Global Attractor Conjecture<br />
<br />
<b>Abstract:</b> The global attractor conjecture says that toric dynamical systems (i.e., a class of polynomial dynamical systems on the positive orthant) have a globally attracting point within each positive linear invariant subspace -- or, equivalently, complex balanced mass-action systems have a globally attracting point within each positive stoichiometric compatibility class. We introduce toric differential inclusions, and we show that each positive solution of a toric differential inclusion is contained in an invariant region that prevents it from approaching the origin. In particular, we show that similar invariant regions prevent positive solutions of weakly reversible k-variable polynomial dynamical systems from approaching the origin. We use this result to prove the global attractor conjecture.<br />
<br />
<br />
== Wednesday, March 4 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, March 11, [http://pages.stat.wisc.edu/~claudia/ Claudia Solis-Lemus] (UW-Madison statistics) ==<br />
<br />
<b>Title:</b> Statistical inference of phylogenetic networks<br />
<br />
<b>Abstract:</b> Bacteria and other organisms do not follow the paradigm of vertical inheritance of genetic material. Human beings, for example, inherit their DNA from their parents only (vertical transfer), but bacteria can share DNA between different species (horizontal transfer). Therefore, their evolution cannot be modeled by a tree. To incorporate these organisms to the tree of life, we need methods to infer phylogenetic networks. In this talk, I will present a statistical method to infer phylogenetic networks from DNA sequences. I will discuss the challenges and results on assessing the identifiability of the model. Our techniques to learn phylogenetic networks will enable scientists to incorporate organisms to the tree of life in parts that are more net-like than tree-like, and thus, complete a broader picture of evolution.<br />
<br />
== Wednesday, March 18==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, March 25 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, April 1 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, April 8 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, April 15, [http://banajim.myweb.port.ac.uk Murad Banaji], University of Portsmouth ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
= Past Seminars =<br />
<br />
= Fall 2014 =<br />
<br />
== Wednesday, September 17, [http://www.math.wisc.edu/~mjohnston3 Matthew D. Johnston] (UW-Madison) ==<br />
<br />
<b>Title:</b> An Introduction to Chemical Reaction Network Theory<br />
<br />
<b>Abstract:</b> There has been significant interest recently in the relationship between the kinetic of models of biochemical reaction networks and the underlying network structure. In this introductory talk, we will discuss the basic features of so-called Chemical Reaction Network Theory which has been an active area of research since the 1970s. In particular, graph-theoretic notions such as weak reversibility and network deficiency will be introduced. We will also discuss reasonable modeling choices---including deterministic and stochastic formulations---and summarize a few surprising results which hold for deterministically modeled mass action systems.<br />
<br />
== Monday, September 22 (2:25 p.m. in Van Vleck B105) [http://math.wvu.edu/~cpantea/ Casian Pantea] (WVU) ==<br />
<br />
<b>Title:</b> Injectivity and multistationarity in chemical reaction networks <br />
<br />
<b>Abstract:</b> Much attention has been paid recently to bistability and switch-like behavior that might be resident in important biochemical reaction networks. It turns out that large classes of extremely complex networks cannot give rise to multistationarity, no matter what their reaction rates might be. In turn, absence of multistationarity in a reaction network is often a consequence of the corresponding vector field being injective. In this talk I will give an overview of both older and newer injectivity results for vector fields associated with a biochemical reaction network. As much as possible, the matrix-theoretic techniques behind these results will also be discussed.<br />
<br />
== Wednesday, October 1 [http://www.math.wisc.edu/~anderson/ David F. Anderson] (UW-Madison) ==<br />
<br />
<b>Title:</b> Deficiency and stochastic models of biochemical reaction networks<br />
<br />
<b>Abstract:</b> The deficiency of a reaction network is central to many results from chemical reaction network theory. In this talk, I will explain what the deficiency of a reaction network is, and how it can be used to shed light on the behavior of the associated mathematical models. I will try to discuss results for both deterministic and stochastic models.<br />
<br />
== Wednesday, October 15, [http://www.math.ku.dk/english/about/news/phd-students/phd_cappelletti/ Daniele Cappelletti] (University of Copenhagen) ==<br />
<br />
<b>Title:</b> Elimination of intermediate species in biochemical reaction networks<br />
<br />
<b>Abstract:</b> Biochemical reactions often proceed through the formation of transient intermediate species. These species are usually more unstable than the other species and degraded at a faster rate. Due to the complexity and intractability of many reaction networks, intermediate species are therefore often ignored in the models. In this talk I will formally introduce stochastic reaction networks and unveil a connection with the deterministic ones. Further, I will show an asymptotic result giving some condition on when it is possible to safely ignore intermediate species, both in the stochastic and deterministic frameworks. I will finally show some further issues on intermediate species I am currently working on.<br />
<br />
== Wednesday, October 22; October 29; November 5, [http://www.math.wisc.edu/~craciun/ Gheorghe Craciun] (UW-Madison) ==<br />
<br />
<b>Title:</b> Persistence properties of mass action systems<br />
<br />
<b>Abstract:</b> A positive trajectory of a dynamical system is called persistent if, in the long run, it does not approach the boundary of the positive orthant. In biological applications, the persistence property is critical in deciding if a species in an ecosystem will become extinct, an infection will die off, or a chemical species will be completely consumed by a reaction network. We describe some classes of dynamical systems for which all positive trajectories are persistent. We also describe connections to the Global Attractor Conjecture, which says that a large class of mass-action systems (called complex balanced or toric dynamical systems) have a global attractor within any invariant subspace.<br />
<br />
== Wednesday, November 19 [http://www.math.wisc.edu/~mjohnston3 Matthew D. Johnston] (UW-Madison) ==<br />
<br />
<b>Title:</b> Recent Results in Chemical Reaction Network Theory<br />
<br />
<b>Abstract:</b> In this talk, I will present some recent results in two related areas of Chemical Reaction Network Theory. (1) I will present a method called network translation which is often capable of determinining characteristics of the steady state sets of deterministically modeled mass action systems. The method associates the original reaction network to a related non-physical network which is more strongly connected than the original one. (2) I will investigate differences in long-term behavior between traditional deterministic models of chemical reaction systems and the more physically realistic stochastic models. I will present a classification of systems for which the deterministic model often predicts positivity, but for which an extinction event necessarily occurs when modeled stochastically.<br />
<br />
== Friday, December 5 (11:00 a.m. in Van Vleck 901), [http://www4.ncsu.edu/~ncmeshka/ Nikki Meshkat] (NCSU) ==<br />
<br />
<b>Title:</b> Finding identifiable functions of linear and nonlinear biological models<br />
<br />
<b>Abstract:</b> Identifiability concerns finding which unknown parameters of a model can be quantified from given input-output data. Many linear ODE models, used primarily in Systems Biology, are unidentifiable, which means that parameters can take on an infinite number of values and yet yield the same input-output data. For a given unidentifiable model, the goal is then to find a set of identifiable functions, i.e. parameter combinations, and then attempt to find a scaling reparametrization so that the resulting model is identifiable. We examine this problem of finding a simple set of identifiable parameter combinations for both linear and nonlinear models. In particular, we use a graph-theoretic approach to find identifiable parameter combinations for linear compartment models and also demonstrate an algorithm using Grobner bases to find identifiable parameter combinations for nonlinear models. We demonstrate these results using our web implementation, COMBOS.</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=9311Probability Seminar2015-02-03T13:54:56Z<p>Anderson: /* Thursday, March 19, Mark Huber, Claremont McKenna Math */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2015 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. <br />
<br />
<b><br />
If you would like to sign up for the email list to receive seminar announcements then please send an email to join-probsem@lists.wisc.edu.<br />
<br />
<!-- [[File:probsem.jpg]] --><br />
</b><br />
<br />
= =<br />
<br />
== Thursday, January 15, [http://www.stat.berkeley.edu/~racz/ Miklos Racz], [http://statistics.berkeley.edu/ UC-Berkeley Stats] ==<br />
<br />
<br />
Title: Testing for high-dimensional geometry in random graphs<br />
<br />
Abstract: I will talk about a random geometric graph model, where connections between vertices depend on distances between latent d-dimensional labels; we are particularly interested in the high-dimensional case when d is large. Upon observing a graph, we want to tell if it was generated from this geometric model, or from an Erdos-Renyi random graph. We show that there exists a computationally efficient procedure to do this which is almost optimal (in an information-theoretic sense). The key insight is based on a new statistic which we call "signed triangles". To prove optimality we use a bound on the total variation distance between Wishart matrices and the Gaussian Orthogonal Ensemble. This is joint work with Sebastien Bubeck, Jian Ding, and Ronen Eldan.<br />
<br />
== Thursday, January 22, No Seminar ==<br />
<br />
== Thursday, January 29, [http://www.math.umn.edu/~arnab/ Arnab Sen], [http://www.math.umn.edu/ University of Minnesota] ==<br />
<br />
Title: '''Double Roots of Random Littlewood Polynomials'''<br />
<br />
Abstract:<br />
We consider random polynomials whose coefficients are independent and uniform on {-1,1}. We will show that the probability that such a polynomial of degree n has a double root is o(n^{-2}) when n+1 is not divisible by 4 and is of the order n^{-2} otherwise. We will also discuss extensions to random polynomials with more general coefficient distributions. <br />
<br />
This is joint work with Ron Peled and Ofer Zeitouni.<br />
<br />
== Thursday, February 5, No seminar this week ==<br />
<br />
== Wednesday, <span style="color:red">February 11</span>, [http://www.math.wisc.edu/~stechmann/ Sam Stechmann], [http://www.math.wisc.edu/ UW-Madison] ==<br />
<br />
<span style="color:red">Please note the unusual time and room.<br />
</span><br />
<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, February 19, [http://www.math.purdue.edu/people/bio/guo297 Xiaoqin Guo], [http://www.math.purdue.edu/ Purdue] ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, February 26, [http://wwwf.imperial.ac.uk/~dcrisan/ Dan Crisan], [http://www.imperial.ac.uk/natural-sciences/departments/mathematics/ Imperial College London] ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, March 5, Kurt Helms, Humboldt-Universität zu Berlin ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, March 12, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
<br />
== Thursday, March 19, [http://www.cmc.edu/pages/faculty/MHuber/ Mark Huber], [http://www.cmc.edu/math/ Claremont McKenna Math] ==<br />
<br />
Title: Understanding relative error in Monte Carlo simulations<br />
<br />
Abstract: The problem of estimating the probability $p$ of heads on an unfair coin has been around for centuries, and has inspired numerous advances in probability such as the Strong Law of Large Numbers and the Central Limit Theorem. In this talk, I'll consider a new twist: given an estimate $\hat p$, suppose we want to understand the behavior of the relative error $(\hat p - p)/p$. In classic estimators, the values that the relative error can take on depends on the value of $p$. I will present a new estimate with the remarkable property that the distribution of the relative error does not depend in any way on the value of $p$. Moreover, this new estimate is very fast: it takes a number of coin flips that is very close to the theoretical minimum. Time permitting, I will also discuss new ways to use concentration results for estimating the mean of random variables where normal approximations do not apply.<br />
<br />
== Thursday, March 26, [http://mathsci.kaist.ac.kr/~jioon/ Ji Oon Lee], [http://www.kaist.edu/html/en/index.html KAIST] ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
<br />
== Thursday, April 2, No Seminar, Spring Break ==<br />
<br />
<br />
<br />
<br />
== Thursday, April 9, [http://www.math.wisc.edu/~emrah/ Elnur Emrah], [http://www.math.wisc.edu/ UW-Madison] ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
<br />
== Thursday, April 16, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, April 23, [http://people.math.osu.edu/nguyen.1261/ Hoi Nguyen], [http://math.osu.edu/ Ohio State University] ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, April 30, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
<br />
== Thursday, May 7, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
<br />
<br />
<br />
<br />
<br />
<!--<br />
== Thursday, December 11, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
--><br />
<br />
<br />
<br />
<!--<br />
<br />
== Thursday, September 11, <span style="color:red">Van Vleck B105,</span> [http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood], UW-Madison ==<br />
<br />
Please note the non-standard room.<br />
<br />
Title: '''The distribution of sandpile groups of random graphs'''<br />
<br />
Abstract:<br><br />
The sandpile group is an abelian group associated to a graph, given as<br />
the cokernel of the graph Laplacian. An Erdős–Rényi random graph<br />
then gives some distribution of random abelian groups. We will give<br />
an introduction to various models of random finite abelian groups<br />
arising in number theory and the connections to the distribution<br />
conjectured by Payne et. al. for sandpile groups. We will talk about<br />
the moments of random finite abelian groups, and how in practice these<br />
are often more accessible than the distributions themselves, but<br />
frustratingly are not a priori guaranteed to determine the<br />
distribution. In this case however, we have found the moments of the<br />
sandpile groups of random graphs, and proved they determine the<br />
measure, and have proven Payne's conjecture.<br />
<br />
== Thursday, September 18, [http://www.math.purdue.edu/~peterson/ Jonathon Peterson], [http://www.math.purdue.edu/ Purdue University] ==<br />
<br />
Title: '''Hydrodynamic limits for directed traps and systems of independent RWRE'''<br />
<br />
Abstract:<br />
<br />
We study the evolution of a system of independent random walks in a common random environment (RWRE). Previously a hydrodynamic limit was proved in the case where the environment is such that the random walks are ballistic (i.e., transient with non-zero speed <math>v_0 \neq 0)</math>. In this case it was shown that the asymptotic particle density is simply translated deterministically by the speed $v_0$. In this talk we will consider the more difficult case of RWRE that are transient but with $v_0=0$. Under the appropriate space-time scaling, we prove a hydrodynamic limit for the system of random walks. The statement of the hydrodynamic limit that we prove is non-standard in that the evolution of the asymptotic particle density is given by the solution of a random rather than a deterministic PDE. The randomness in the PDE comes from the fact that under the hydrodynamic scaling the effect of the environment does not ``average out'' and so the specific instance of the environment chosen actually matters.<br />
<br />
The proof of the hydrodynamic limit for the system of RWRE will be accomplished by coupling the system of RWRE with a simpler model of a system of particles in an environment of ``directed traps.'' This talk is based on joint work with Milton Jara.<br />
<br />
== Thursday, September 25, [http://math.colorado.edu/~seor3821/ Sean O'Rourke], [http://www.colorado.edu/math/ University of Colorado Boulder] ==<br />
<br />
Title: '''Singular values and vectors under random perturbation'''<br />
<br />
Abstract:<br />
Computing the singular values and singular vectors of a large matrix is a basic task in high dimensional data analysis with many applications in computer science and statistics. In practice, however, data is often perturbed by noise. A natural question is the following. How much does a small perturbation to the matrix change the singular values and vectors? <br />
<br />
Classical (deterministic) theorems, such as those by Davis-Kahan, Wedin, and Weyl, give tight estimates for the worst-case scenario. In this talk, I will consider the case when the perturbation is random. In this setting, better estimates can be achieved when our matrix has low rank. This talk is based on joint work with Van Vu and Ke Wang.<br />
<br />
== Thursday, October 2, [http://www.math.wisc.edu/~jyin/jun-yin.html Jun Yin], [http://www.math.wisc.edu/ UW-Madison] ==<br />
<br />
Title: '''Anisotropic local laws for random matrices'''<br />
<br />
Abstract:<br />
In this talk, we introduce a new method of deriving local laws of random matrices. As applications, we will show the local laws and some universality results on general sample covariance matrices: TXX^*T^* (where $T$ is non-square deterministic matrix), and deformed Wigner matrix: H+A (where A is deterministic symmetric matrix). Note: here $TT^*$ and $A$ could be full rank matrices.<br />
<br />
== Thursday, October 9, No seminar due to [http://www.math.northwestern.edu/mwp/ Midwest Probability Colloquium] ==<br />
<br />
No seminar due to [http://www.math.northwestern.edu/mwp/ Midwest Probability Colloquium].<br />
<br />
<br />
== Thursday, October 16, [http://www.math.utah.edu/~firas/ Firas Rassoul-Agha], [http://www.math.utah.edu/ University of Utah]==<br />
<br />
Title: '''The growth model: Busemann functions, shape, geodesics, and other stories'''<br />
<br />
Abstract:<br />
We consider the directed last-passage percolation model on the planar integer lattice with nearest-neighbor steps and general i.i.d. weights on the vertices, outside the class of exactly solvable models. Stationary cocycles are constructed for this percolation model from queueing fixed points. These cocycles define solutions to variational formulas that characterize limit shapes and yield new results for Busemann functions, geodesics and the competition interface. This is joint work with Nicos Georgiou and Timo Seppalainen.<br />
<br />
<br />
== Thursday, November 6, Vadim Gorin, [http://www-math.mit.edu/people/profile.php?pid=1415 MIT] ==<br />
<br />
Title: '''Multilevel Dyson Brownian Motion and its edge limits.'''<br />
<br />
Abstract: The GUE Tracy-Widom distribution is known to govern the large-time asymptotics for a variety of<br />
interacting particle systems on one side, and the asymptotic behavior for largest eigenvalues of<br />
random Hermitian matrices on the other side. In my talk I will explain some reasons for this<br />
connection between two seemingly unrelated classes of stochastic systems, and how this relation can<br />
be extended to general beta random matrices. A multilevel extension of the Dyson Brownian Motion<br />
will be the central object in the discussion.<br />
<br />
(Based on joint papers with Misha Shkolnikov.)<br />
<br />
==<span style="color:red"> Friday</span>, November 7, [http://tchumley.public.iastate.edu/ Tim Chumley], [http://www.math.iastate.edu/ Iowa State University] ==<br />
<br />
<span style="color:darkgreen">Please note the unusual day.</span><br />
<br />
Title: '''Random billiards and diffusion'''<br />
<br />
Abstract: We introduce a class of random dynamical systems derived from billiard maps and study a certain Markov chain derived from them. We then discuss the interplay between the billiard geometry and stochastic properties of the random system. The main results presented investigate the affect of billiard geometry on a diffusion process obtained from an appropriate scaling limit of the Markov chain.<br />
<br />
== Thursday, November 13, [http://www.math.wisc.edu/~seppalai/ Timo Seppäläinen], [http://www.math.wisc.edu/ UW-Madison]==<br />
<br />
Title: '''Variational formulas for directed polymer and percolation models'''<br />
<br />
Abstract:<br />
Explicit formulas for subadditive limits of polymer and percolation models in probability and statistical mechanics have been difficult to find. We describe variational formulas for these limits and their connections with other features of the models such as Busemann functions and Kardar-Parisi-Zhang (KPZ) fluctuation exponents.<br />
<br />
<br />
<br />
== <span style="color:red">Monday</span>, December 1, [http://www.ma.utexas.edu/users/jneeman/index.html Joe Neeman], [http://www.ma.utexas.edu/ UT-Austin], <span style="color:red">4pm, Room B239 Van Vleck Hall</span>==<br />
<br />
<span style="color:darkgreen">Please note the unusual time and room.</span><br />
<br />
Title: '''Some phase transitions in the stochastic block model'''<br />
<br />
Abstract: The stochastic block model is a random graph model that was originally 30 years ago to study community detection in networks. To generate a random graph from this model, begin with two classes of vertices and then connect each pair of vertices independently at random, with probability p if they are in the same class and probability q otherwise. Some questions come to mind: can we reconstruct the classes if we only observe the graph? What if we only want to partially reconstruct the classes? How different is this model from an Erdos-Renyi graph anyway? The answers to these questions depend on p and q, and we will say exactly how.<br />
<br />
== Thursday, December 4, Arjun Krishnan, [http://www.fields.utoronto.ca/ Fields Institute] ==<br />
<br />
Title: '''Variational formula for the time-constant of first-passage percolation'''<br />
<br />
Abstract:<br />
Consider first-passage percolation with positive, stationary-ergodic<br />
weights on the square lattice in d-dimensions. Let <math>T(x)</math> be the<br />
first-passage time from the origin to <math>x</math> in <math>Z^d</math>. The convergence of<br />
<math>T([nx])/n</math> to the time constant as <math>n</math> tends to infinity is a consequence<br />
of the subadditive ergodic theorem. This convergence can be viewed as<br />
a problem of homogenization for a discrete Hamilton-Jacobi-Bellman<br />
(HJB) equation. By borrowing several tools from the continuum theory<br />
of stochastic homogenization for HJB equations, we derive an exact<br />
variational formula (duality principle) for the time-constant. Under a<br />
symmetry assumption, we will use the variational formula to construct<br />
an explicit iteration that produces the limit shape.<br />
<br />
<br />
--><br />
<br />
== ==<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=9300Probability Seminar2015-02-01T21:06:31Z<p>Anderson: /* Thursday, March 19, Mark Huber], http://www.cmc.edu/math/ Claremont McKenna Math */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2015 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. <br />
<br />
<b><br />
If you would like to sign up for the email list to receive seminar announcements then please send an email to join-probsem@lists.wisc.edu.<br />
<br />
<!-- [[File:probsem.jpg]] --><br />
</b><br />
<br />
= =<br />
<br />
== Thursday, January 15, [http://www.stat.berkeley.edu/~racz/ Miklos Racz], [http://statistics.berkeley.edu/ UC-Berkeley Stats] ==<br />
<br />
<br />
Title: Testing for high-dimensional geometry in random graphs<br />
<br />
Abstract: I will talk about a random geometric graph model, where connections between vertices depend on distances between latent d-dimensional labels; we are particularly interested in the high-dimensional case when d is large. Upon observing a graph, we want to tell if it was generated from this geometric model, or from an Erdos-Renyi random graph. We show that there exists a computationally efficient procedure to do this which is almost optimal (in an information-theoretic sense). The key insight is based on a new statistic which we call "signed triangles". To prove optimality we use a bound on the total variation distance between Wishart matrices and the Gaussian Orthogonal Ensemble. This is joint work with Sebastien Bubeck, Jian Ding, and Ronen Eldan.<br />
<br />
== Thursday, January 22, No Seminar ==<br />
<br />
== Thursday, January 29, [http://www.math.umn.edu/~arnab/ Arnab Sen], [http://www.math.umn.edu/ University of Minnesota] ==<br />
<br />
Title: '''Double Roots of Random Littlewood Polynomials'''<br />
<br />
Abstract:<br />
We consider random polynomials whose coefficients are independent and uniform on {-1,1}. We will show that the probability that such a polynomial of degree n has a double root is o(n^{-2}) when n+1 is not divisible by 4 and is of the order n^{-2} otherwise. We will also discuss extensions to random polynomials with more general coefficient distributions. <br />
<br />
This is joint work with Ron Peled and Ofer Zeitouni.<br />
<br />
== Thursday, February 5, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
<br />
== Thursday, February 12, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
<br />
== Thursday, February 19, [http://www.math.purdue.edu/people/bio/guo297 Xiaoqin Guo], [http://www.math.purdue.edu/ Purdue] ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, February 26, [http://wwwf.imperial.ac.uk/~dcrisan/ Dan Crisan], [http://www.imperial.ac.uk/natural-sciences/departments/mathematics/ Imperial College London] ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, March 5, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, March 12, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
<br />
== Thursday, March 19, [http://www.cmc.edu/pages/faculty/MHuber/ Mark Huber], [http://www.cmc.edu/math/ Claremont McKenna Math] ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, March 26, [http://mathsci.kaist.ac.kr/~jioon/ Ji Oon Lee], [http://www.kaist.edu/html/en/index.html KAIST] ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
<br />
== Thursday, April 2, No Seminar, Spring Break ==<br />
<br />
<br />
<br />
<br />
== Thursday, April 9, [http://www.math.wisc.edu/~emrah/ Elnur Emrah], [http://www.math.wisc.edu/ UW-Madison] ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
<br />
== Thursday, April 16, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, April 16, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, April 23, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
<br />
== Thursday, April 30, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
<br />
== Thursday, May 7, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
<br />
<br />
<br />
<br />
<br />
<!--<br />
== Thursday, December 11, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
--><br />
<br />
<br />
<br />
<!--<br />
<br />
== Thursday, September 11, <span style="color:red">Van Vleck B105,</span> [http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood], UW-Madison ==<br />
<br />
Please note the non-standard room.<br />
<br />
Title: '''The distribution of sandpile groups of random graphs'''<br />
<br />
Abstract:<br><br />
The sandpile group is an abelian group associated to a graph, given as<br />
the cokernel of the graph Laplacian. An Erdős–Rényi random graph<br />
then gives some distribution of random abelian groups. We will give<br />
an introduction to various models of random finite abelian groups<br />
arising in number theory and the connections to the distribution<br />
conjectured by Payne et. al. for sandpile groups. We will talk about<br />
the moments of random finite abelian groups, and how in practice these<br />
are often more accessible than the distributions themselves, but<br />
frustratingly are not a priori guaranteed to determine the<br />
distribution. In this case however, we have found the moments of the<br />
sandpile groups of random graphs, and proved they determine the<br />
measure, and have proven Payne's conjecture.<br />
<br />
== Thursday, September 18, [http://www.math.purdue.edu/~peterson/ Jonathon Peterson], [http://www.math.purdue.edu/ Purdue University] ==<br />
<br />
Title: '''Hydrodynamic limits for directed traps and systems of independent RWRE'''<br />
<br />
Abstract:<br />
<br />
We study the evolution of a system of independent random walks in a common random environment (RWRE). Previously a hydrodynamic limit was proved in the case where the environment is such that the random walks are ballistic (i.e., transient with non-zero speed <math>v_0 \neq 0)</math>. In this case it was shown that the asymptotic particle density is simply translated deterministically by the speed $v_0$. In this talk we will consider the more difficult case of RWRE that are transient but with $v_0=0$. Under the appropriate space-time scaling, we prove a hydrodynamic limit for the system of random walks. The statement of the hydrodynamic limit that we prove is non-standard in that the evolution of the asymptotic particle density is given by the solution of a random rather than a deterministic PDE. The randomness in the PDE comes from the fact that under the hydrodynamic scaling the effect of the environment does not ``average out'' and so the specific instance of the environment chosen actually matters.<br />
<br />
The proof of the hydrodynamic limit for the system of RWRE will be accomplished by coupling the system of RWRE with a simpler model of a system of particles in an environment of ``directed traps.'' This talk is based on joint work with Milton Jara.<br />
<br />
== Thursday, September 25, [http://math.colorado.edu/~seor3821/ Sean O'Rourke], [http://www.colorado.edu/math/ University of Colorado Boulder] ==<br />
<br />
Title: '''Singular values and vectors under random perturbation'''<br />
<br />
Abstract:<br />
Computing the singular values and singular vectors of a large matrix is a basic task in high dimensional data analysis with many applications in computer science and statistics. In practice, however, data is often perturbed by noise. A natural question is the following. How much does a small perturbation to the matrix change the singular values and vectors? <br />
<br />
Classical (deterministic) theorems, such as those by Davis-Kahan, Wedin, and Weyl, give tight estimates for the worst-case scenario. In this talk, I will consider the case when the perturbation is random. In this setting, better estimates can be achieved when our matrix has low rank. This talk is based on joint work with Van Vu and Ke Wang.<br />
<br />
== Thursday, October 2, [http://www.math.wisc.edu/~jyin/jun-yin.html Jun Yin], [http://www.math.wisc.edu/ UW-Madison] ==<br />
<br />
Title: '''Anisotropic local laws for random matrices'''<br />
<br />
Abstract:<br />
In this talk, we introduce a new method of deriving local laws of random matrices. As applications, we will show the local laws and some universality results on general sample covariance matrices: TXX^*T^* (where $T$ is non-square deterministic matrix), and deformed Wigner matrix: H+A (where A is deterministic symmetric matrix). Note: here $TT^*$ and $A$ could be full rank matrices.<br />
<br />
== Thursday, October 9, No seminar due to [http://www.math.northwestern.edu/mwp/ Midwest Probability Colloquium] ==<br />
<br />
No seminar due to [http://www.math.northwestern.edu/mwp/ Midwest Probability Colloquium].<br />
<br />
<br />
== Thursday, October 16, [http://www.math.utah.edu/~firas/ Firas Rassoul-Agha], [http://www.math.utah.edu/ University of Utah]==<br />
<br />
Title: '''The growth model: Busemann functions, shape, geodesics, and other stories'''<br />
<br />
Abstract:<br />
We consider the directed last-passage percolation model on the planar integer lattice with nearest-neighbor steps and general i.i.d. weights on the vertices, outside the class of exactly solvable models. Stationary cocycles are constructed for this percolation model from queueing fixed points. These cocycles define solutions to variational formulas that characterize limit shapes and yield new results for Busemann functions, geodesics and the competition interface. This is joint work with Nicos Georgiou and Timo Seppalainen.<br />
<br />
<br />
== Thursday, November 6, Vadim Gorin, [http://www-math.mit.edu/people/profile.php?pid=1415 MIT] ==<br />
<br />
Title: '''Multilevel Dyson Brownian Motion and its edge limits.'''<br />
<br />
Abstract: The GUE Tracy-Widom distribution is known to govern the large-time asymptotics for a variety of<br />
interacting particle systems on one side, and the asymptotic behavior for largest eigenvalues of<br />
random Hermitian matrices on the other side. In my talk I will explain some reasons for this<br />
connection between two seemingly unrelated classes of stochastic systems, and how this relation can<br />
be extended to general beta random matrices. A multilevel extension of the Dyson Brownian Motion<br />
will be the central object in the discussion.<br />
<br />
(Based on joint papers with Misha Shkolnikov.)<br />
<br />
==<span style="color:red"> Friday</span>, November 7, [http://tchumley.public.iastate.edu/ Tim Chumley], [http://www.math.iastate.edu/ Iowa State University] ==<br />
<br />
<span style="color:darkgreen">Please note the unusual day.</span><br />
<br />
Title: '''Random billiards and diffusion'''<br />
<br />
Abstract: We introduce a class of random dynamical systems derived from billiard maps and study a certain Markov chain derived from them. We then discuss the interplay between the billiard geometry and stochastic properties of the random system. The main results presented investigate the affect of billiard geometry on a diffusion process obtained from an appropriate scaling limit of the Markov chain.<br />
<br />
== Thursday, November 13, [http://www.math.wisc.edu/~seppalai/ Timo Seppäläinen], [http://www.math.wisc.edu/ UW-Madison]==<br />
<br />
Title: '''Variational formulas for directed polymer and percolation models'''<br />
<br />
Abstract:<br />
Explicit formulas for subadditive limits of polymer and percolation models in probability and statistical mechanics have been difficult to find. We describe variational formulas for these limits and their connections with other features of the models such as Busemann functions and Kardar-Parisi-Zhang (KPZ) fluctuation exponents.<br />
<br />
<br />
<br />
== <span style="color:red">Monday</span>, December 1, [http://www.ma.utexas.edu/users/jneeman/index.html Joe Neeman], [http://www.ma.utexas.edu/ UT-Austin], <span style="color:red">4pm, Room B239 Van Vleck Hall</span>==<br />
<br />
<span style="color:darkgreen">Please note the unusual time and room.</span><br />
<br />
Title: '''Some phase transitions in the stochastic block model'''<br />
<br />
Abstract: The stochastic block model is a random graph model that was originally 30 years ago to study community detection in networks. To generate a random graph from this model, begin with two classes of vertices and then connect each pair of vertices independently at random, with probability p if they are in the same class and probability q otherwise. Some questions come to mind: can we reconstruct the classes if we only observe the graph? What if we only want to partially reconstruct the classes? How different is this model from an Erdos-Renyi graph anyway? The answers to these questions depend on p and q, and we will say exactly how.<br />
<br />
== Thursday, December 4, Arjun Krishnan, [http://www.fields.utoronto.ca/ Fields Institute] ==<br />
<br />
Title: '''Variational formula for the time-constant of first-passage percolation'''<br />
<br />
Abstract:<br />
Consider first-passage percolation with positive, stationary-ergodic<br />
weights on the square lattice in d-dimensions. Let <math>T(x)</math> be the<br />
first-passage time from the origin to <math>x</math> in <math>Z^d</math>. The convergence of<br />
<math>T([nx])/n</math> to the time constant as <math>n</math> tends to infinity is a consequence<br />
of the subadditive ergodic theorem. This convergence can be viewed as<br />
a problem of homogenization for a discrete Hamilton-Jacobi-Bellman<br />
(HJB) equation. By borrowing several tools from the continuum theory<br />
of stochastic homogenization for HJB equations, we derive an exact<br />
variational formula (duality principle) for the time-constant. Under a<br />
symmetry assumption, we will use the variational formula to construct<br />
an explicit iteration that produces the limit shape.<br />
<br />
<br />
--><br />
<br />
== ==<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=9299Probability Seminar2015-02-01T21:06:15Z<p>Anderson: /* Thursday, March 19, TBA */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2015 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. <br />
<br />
<b><br />
If you would like to sign up for the email list to receive seminar announcements then please send an email to join-probsem@lists.wisc.edu.<br />
<br />
<!-- [[File:probsem.jpg]] --><br />
</b><br />
<br />
= =<br />
<br />
== Thursday, January 15, [http://www.stat.berkeley.edu/~racz/ Miklos Racz], [http://statistics.berkeley.edu/ UC-Berkeley Stats] ==<br />
<br />
<br />
Title: Testing for high-dimensional geometry in random graphs<br />
<br />
Abstract: I will talk about a random geometric graph model, where connections between vertices depend on distances between latent d-dimensional labels; we are particularly interested in the high-dimensional case when d is large. Upon observing a graph, we want to tell if it was generated from this geometric model, or from an Erdos-Renyi random graph. We show that there exists a computationally efficient procedure to do this which is almost optimal (in an information-theoretic sense). The key insight is based on a new statistic which we call "signed triangles". To prove optimality we use a bound on the total variation distance between Wishart matrices and the Gaussian Orthogonal Ensemble. This is joint work with Sebastien Bubeck, Jian Ding, and Ronen Eldan.<br />
<br />
== Thursday, January 22, No Seminar ==<br />
<br />
== Thursday, January 29, [http://www.math.umn.edu/~arnab/ Arnab Sen], [http://www.math.umn.edu/ University of Minnesota] ==<br />
<br />
Title: '''Double Roots of Random Littlewood Polynomials'''<br />
<br />
Abstract:<br />
We consider random polynomials whose coefficients are independent and uniform on {-1,1}. We will show that the probability that such a polynomial of degree n has a double root is o(n^{-2}) when n+1 is not divisible by 4 and is of the order n^{-2} otherwise. We will also discuss extensions to random polynomials with more general coefficient distributions. <br />
<br />
This is joint work with Ron Peled and Ofer Zeitouni.<br />
<br />
== Thursday, February 5, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
<br />
== Thursday, February 12, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
<br />
== Thursday, February 19, [http://www.math.purdue.edu/people/bio/guo297 Xiaoqin Guo], [http://www.math.purdue.edu/ Purdue] ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, February 26, [http://wwwf.imperial.ac.uk/~dcrisan/ Dan Crisan], [http://www.imperial.ac.uk/natural-sciences/departments/mathematics/ Imperial College London] ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, March 5, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, March 12, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
<br />
== Thursday, March 19, [http://www.cmc.edu/pages/faculty/MHuber/ Mark Huber], http://www.cmc.edu/math/ Claremont McKenna Math] ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, March 26, [http://mathsci.kaist.ac.kr/~jioon/ Ji Oon Lee], [http://www.kaist.edu/html/en/index.html KAIST] ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
<br />
== Thursday, April 2, No Seminar, Spring Break ==<br />
<br />
<br />
<br />
<br />
== Thursday, April 9, [http://www.math.wisc.edu/~emrah/ Elnur Emrah], [http://www.math.wisc.edu/ UW-Madison] ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
<br />
== Thursday, April 16, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, April 16, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, April 23, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
<br />
== Thursday, April 30, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
<br />
== Thursday, May 7, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
<br />
<br />
<br />
<br />
<br />
<!--<br />
== Thursday, December 11, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
--><br />
<br />
<br />
<br />
<!--<br />
<br />
== Thursday, September 11, <span style="color:red">Van Vleck B105,</span> [http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood], UW-Madison ==<br />
<br />
Please note the non-standard room.<br />
<br />
Title: '''The distribution of sandpile groups of random graphs'''<br />
<br />
Abstract:<br><br />
The sandpile group is an abelian group associated to a graph, given as<br />
the cokernel of the graph Laplacian. An Erdős–Rényi random graph<br />
then gives some distribution of random abelian groups. We will give<br />
an introduction to various models of random finite abelian groups<br />
arising in number theory and the connections to the distribution<br />
conjectured by Payne et. al. for sandpile groups. We will talk about<br />
the moments of random finite abelian groups, and how in practice these<br />
are often more accessible than the distributions themselves, but<br />
frustratingly are not a priori guaranteed to determine the<br />
distribution. In this case however, we have found the moments of the<br />
sandpile groups of random graphs, and proved they determine the<br />
measure, and have proven Payne's conjecture.<br />
<br />
== Thursday, September 18, [http://www.math.purdue.edu/~peterson/ Jonathon Peterson], [http://www.math.purdue.edu/ Purdue University] ==<br />
<br />
Title: '''Hydrodynamic limits for directed traps and systems of independent RWRE'''<br />
<br />
Abstract:<br />
<br />
We study the evolution of a system of independent random walks in a common random environment (RWRE). Previously a hydrodynamic limit was proved in the case where the environment is such that the random walks are ballistic (i.e., transient with non-zero speed <math>v_0 \neq 0)</math>. In this case it was shown that the asymptotic particle density is simply translated deterministically by the speed $v_0$. In this talk we will consider the more difficult case of RWRE that are transient but with $v_0=0$. Under the appropriate space-time scaling, we prove a hydrodynamic limit for the system of random walks. The statement of the hydrodynamic limit that we prove is non-standard in that the evolution of the asymptotic particle density is given by the solution of a random rather than a deterministic PDE. The randomness in the PDE comes from the fact that under the hydrodynamic scaling the effect of the environment does not ``average out'' and so the specific instance of the environment chosen actually matters.<br />
<br />
The proof of the hydrodynamic limit for the system of RWRE will be accomplished by coupling the system of RWRE with a simpler model of a system of particles in an environment of ``directed traps.'' This talk is based on joint work with Milton Jara.<br />
<br />
== Thursday, September 25, [http://math.colorado.edu/~seor3821/ Sean O'Rourke], [http://www.colorado.edu/math/ University of Colorado Boulder] ==<br />
<br />
Title: '''Singular values and vectors under random perturbation'''<br />
<br />
Abstract:<br />
Computing the singular values and singular vectors of a large matrix is a basic task in high dimensional data analysis with many applications in computer science and statistics. In practice, however, data is often perturbed by noise. A natural question is the following. How much does a small perturbation to the matrix change the singular values and vectors? <br />
<br />
Classical (deterministic) theorems, such as those by Davis-Kahan, Wedin, and Weyl, give tight estimates for the worst-case scenario. In this talk, I will consider the case when the perturbation is random. In this setting, better estimates can be achieved when our matrix has low rank. This talk is based on joint work with Van Vu and Ke Wang.<br />
<br />
== Thursday, October 2, [http://www.math.wisc.edu/~jyin/jun-yin.html Jun Yin], [http://www.math.wisc.edu/ UW-Madison] ==<br />
<br />
Title: '''Anisotropic local laws for random matrices'''<br />
<br />
Abstract:<br />
In this talk, we introduce a new method of deriving local laws of random matrices. As applications, we will show the local laws and some universality results on general sample covariance matrices: TXX^*T^* (where $T$ is non-square deterministic matrix), and deformed Wigner matrix: H+A (where A is deterministic symmetric matrix). Note: here $TT^*$ and $A$ could be full rank matrices.<br />
<br />
== Thursday, October 9, No seminar due to [http://www.math.northwestern.edu/mwp/ Midwest Probability Colloquium] ==<br />
<br />
No seminar due to [http://www.math.northwestern.edu/mwp/ Midwest Probability Colloquium].<br />
<br />
<br />
== Thursday, October 16, [http://www.math.utah.edu/~firas/ Firas Rassoul-Agha], [http://www.math.utah.edu/ University of Utah]==<br />
<br />
Title: '''The growth model: Busemann functions, shape, geodesics, and other stories'''<br />
<br />
Abstract:<br />
We consider the directed last-passage percolation model on the planar integer lattice with nearest-neighbor steps and general i.i.d. weights on the vertices, outside the class of exactly solvable models. Stationary cocycles are constructed for this percolation model from queueing fixed points. These cocycles define solutions to variational formulas that characterize limit shapes and yield new results for Busemann functions, geodesics and the competition interface. This is joint work with Nicos Georgiou and Timo Seppalainen.<br />
<br />
<br />
== Thursday, November 6, Vadim Gorin, [http://www-math.mit.edu/people/profile.php?pid=1415 MIT] ==<br />
<br />
Title: '''Multilevel Dyson Brownian Motion and its edge limits.'''<br />
<br />
Abstract: The GUE Tracy-Widom distribution is known to govern the large-time asymptotics for a variety of<br />
interacting particle systems on one side, and the asymptotic behavior for largest eigenvalues of<br />
random Hermitian matrices on the other side. In my talk I will explain some reasons for this<br />
connection between two seemingly unrelated classes of stochastic systems, and how this relation can<br />
be extended to general beta random matrices. A multilevel extension of the Dyson Brownian Motion<br />
will be the central object in the discussion.<br />
<br />
(Based on joint papers with Misha Shkolnikov.)<br />
<br />
==<span style="color:red"> Friday</span>, November 7, [http://tchumley.public.iastate.edu/ Tim Chumley], [http://www.math.iastate.edu/ Iowa State University] ==<br />
<br />
<span style="color:darkgreen">Please note the unusual day.</span><br />
<br />
Title: '''Random billiards and diffusion'''<br />
<br />
Abstract: We introduce a class of random dynamical systems derived from billiard maps and study a certain Markov chain derived from them. We then discuss the interplay between the billiard geometry and stochastic properties of the random system. The main results presented investigate the affect of billiard geometry on a diffusion process obtained from an appropriate scaling limit of the Markov chain.<br />
<br />
== Thursday, November 13, [http://www.math.wisc.edu/~seppalai/ Timo Seppäläinen], [http://www.math.wisc.edu/ UW-Madison]==<br />
<br />
Title: '''Variational formulas for directed polymer and percolation models'''<br />
<br />
Abstract:<br />
Explicit formulas for subadditive limits of polymer and percolation models in probability and statistical mechanics have been difficult to find. We describe variational formulas for these limits and their connections with other features of the models such as Busemann functions and Kardar-Parisi-Zhang (KPZ) fluctuation exponents.<br />
<br />
<br />
<br />
== <span style="color:red">Monday</span>, December 1, [http://www.ma.utexas.edu/users/jneeman/index.html Joe Neeman], [http://www.ma.utexas.edu/ UT-Austin], <span style="color:red">4pm, Room B239 Van Vleck Hall</span>==<br />
<br />
<span style="color:darkgreen">Please note the unusual time and room.</span><br />
<br />
Title: '''Some phase transitions in the stochastic block model'''<br />
<br />
Abstract: The stochastic block model is a random graph model that was originally 30 years ago to study community detection in networks. To generate a random graph from this model, begin with two classes of vertices and then connect each pair of vertices independently at random, with probability p if they are in the same class and probability q otherwise. Some questions come to mind: can we reconstruct the classes if we only observe the graph? What if we only want to partially reconstruct the classes? How different is this model from an Erdos-Renyi graph anyway? The answers to these questions depend on p and q, and we will say exactly how.<br />
<br />
== Thursday, December 4, Arjun Krishnan, [http://www.fields.utoronto.ca/ Fields Institute] ==<br />
<br />
Title: '''Variational formula for the time-constant of first-passage percolation'''<br />
<br />
Abstract:<br />
Consider first-passage percolation with positive, stationary-ergodic<br />
weights on the square lattice in d-dimensions. Let <math>T(x)</math> be the<br />
first-passage time from the origin to <math>x</math> in <math>Z^d</math>. The convergence of<br />
<math>T([nx])/n</math> to the time constant as <math>n</math> tends to infinity is a consequence<br />
of the subadditive ergodic theorem. This convergence can be viewed as<br />
a problem of homogenization for a discrete Hamilton-Jacobi-Bellman<br />
(HJB) equation. By borrowing several tools from the continuum theory<br />
of stochastic homogenization for HJB equations, we derive an exact<br />
variational formula (duality principle) for the time-constant. Under a<br />
symmetry assumption, we will use the variational formula to construct<br />
an explicit iteration that produces the limit shape.<br />
<br />
<br />
--><br />
<br />
== ==<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Networks_Seminar&diff=9247Networks Seminar2015-01-27T16:44:19Z<p>Anderson: /* Wednesday, March 11 */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Introduction and Overview =<br />
<br />
Networks arise in many scientific applications, from resource allocation/transportation problems, to electrical engineering networks, to the study of biochemical reactions systems. While the intended applications and analytic techniques vary significantly in these disciplines, the core goal remains the same: to extract as much information as possible about the dynamical behaviors of the resulting systems from the structure of the network itself.<br />
<br />
= Organization and Contacts =<br />
<br />
The Networks Seminar is currently organized by Matthew D. Johnston, David F. Anderson, and Gheorghe Craciun. Contact information, including how to join the mailing list, is contained below:<br />
<br />
Matthew D. Johnston<br><br />
<b>Tel:</b> 608-263-2727<br><br />
<b>Email:</b> mjohnston3[at]wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~mjohnston3 www.math.wisc.edu/~mjohnston3]<br />
<br />
David F. Anderson<br><br />
<b>Tel:</b> 608-263-4943<br><br />
<b>Email:</b> anderson[at]math.wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~anderson www.math.wisc.edu/~anderson]<br />
<br />
Gheorghe Craciun<br><br />
<b>Tel:</b> 608-265-3391<br><br />
<b>Email:</b> craciun[at]math.wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~craciun www.math.wisc.edu/~craciun]<br />
<br />
<b>Join Mailing List:</b> join-math-networks-seminar[at]lists.wisc.edu<br />
<br />
<b>Email Mailing List:</b> networksem[at]math.wisc.edu<br />
<br />
= Spring 2015 =<br />
<br />
The seminar will take place on <b>Wednesdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. <br />
<br />
== Friday, January 30 (1:00 p.m. in Van Vleck B129), [http://www.math.wisc.edu/~craciun/ Gheorghe Craciun] (UW-Madison) ==<br />
<br />
<b>Title:</b> Toric Differential Inclusions and a Proof of the Global Attractor Conjecture<br />
<br />
<b>Abstract:</b> The global attractor conjecture says that toric dynamical systems (i.e., a class of polynomial dynamical systems on the positive orthant) have a globally attracting point within each positive linear invariant subspace -- or, equivalently, complex balanced mass-action systems have a globally attracting point within each positive stoichiometric compatibility class. We introduce toric differential inclusions, and we show that each positive solution of a toric differential inclusion is contained in an invariant region that prevents it from approaching the origin. In particular, we show that similar invariant regions prevent positive solutions of weakly reversible k-variable polynomial dynamical systems from approaching the origin. We use this result to prove the global attractor conjecture.<br />
<br />
== Wednesday, February 4 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, February 11 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, February 18==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, February 25 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, March 4 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, March 11, [http://pages.stat.wisc.edu/~claudia/ Claudia Solis-Lemus] (UW-Madison statistics) ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, March 18==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, March 25 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, April 1 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, April 8 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, April 15 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
= Past Seminars =<br />
<br />
= Fall 2014 =<br />
<br />
== Wednesday, September 17, [http://www.math.wisc.edu/~mjohnston3 Matthew D. Johnston] (UW-Madison) ==<br />
<br />
<b>Title:</b> An Introduction to Chemical Reaction Network Theory<br />
<br />
<b>Abstract:</b> There has been significant interest recently in the relationship between the kinetic of models of biochemical reaction networks and the underlying network structure. In this introductory talk, we will discuss the basic features of so-called Chemical Reaction Network Theory which has been an active area of research since the 1970s. In particular, graph-theoretic notions such as weak reversibility and network deficiency will be introduced. We will also discuss reasonable modeling choices---including deterministic and stochastic formulations---and summarize a few surprising results which hold for deterministically modeled mass action systems.<br />
<br />
== Monday, September 22 (2:25 p.m. in Van Vleck B105) [http://math.wvu.edu/~cpantea/ Casian Pantea] (WVU) ==<br />
<br />
<b>Title:</b> Injectivity and multistationarity in chemical reaction networks <br />
<br />
<b>Abstract:</b> Much attention has been paid recently to bistability and switch-like behavior that might be resident in important biochemical reaction networks. It turns out that large classes of extremely complex networks cannot give rise to multistationarity, no matter what their reaction rates might be. In turn, absence of multistationarity in a reaction network is often a consequence of the corresponding vector field being injective. In this talk I will give an overview of both older and newer injectivity results for vector fields associated with a biochemical reaction network. As much as possible, the matrix-theoretic techniques behind these results will also be discussed.<br />
<br />
== Wednesday, October 1 [http://www.math.wisc.edu/~anderson/ David F. Anderson] (UW-Madison) ==<br />
<br />
<b>Title:</b> Deficiency and stochastic models of biochemical reaction networks<br />
<br />
<b>Abstract:</b> The deficiency of a reaction network is central to many results from chemical reaction network theory. In this talk, I will explain what the deficiency of a reaction network is, and how it can be used to shed light on the behavior of the associated mathematical models. I will try to discuss results for both deterministic and stochastic models.<br />
<br />
== Wednesday, October 15, [http://www.math.ku.dk/english/about/news/phd-students/phd_cappelletti/ Daniele Cappelletti] (University of Copenhagen) ==<br />
<br />
<b>Title:</b> Elimination of intermediate species in biochemical reaction networks<br />
<br />
<b>Abstract:</b> Biochemical reactions often proceed through the formation of transient intermediate species. These species are usually more unstable than the other species and degraded at a faster rate. Due to the complexity and intractability of many reaction networks, intermediate species are therefore often ignored in the models. In this talk I will formally introduce stochastic reaction networks and unveil a connection with the deterministic ones. Further, I will show an asymptotic result giving some condition on when it is possible to safely ignore intermediate species, both in the stochastic and deterministic frameworks. I will finally show some further issues on intermediate species I am currently working on.<br />
<br />
== Wednesday, October 22; October 29; November 5, [http://www.math.wisc.edu/~craciun/ Gheorghe Craciun] (UW-Madison) ==<br />
<br />
<b>Title:</b> Persistence properties of mass action systems<br />
<br />
<b>Abstract:</b> A positive trajectory of a dynamical system is called persistent if, in the long run, it does not approach the boundary of the positive orthant. In biological applications, the persistence property is critical in deciding if a species in an ecosystem will become extinct, an infection will die off, or a chemical species will be completely consumed by a reaction network. We describe some classes of dynamical systems for which all positive trajectories are persistent. We also describe connections to the Global Attractor Conjecture, which says that a large class of mass-action systems (called complex balanced or toric dynamical systems) have a global attractor within any invariant subspace.<br />
<br />
== Wednesday, November 19 [http://www.math.wisc.edu/~mjohnston3 Matthew D. Johnston] (UW-Madison) ==<br />
<br />
<b>Title:</b> Recent Results in Chemical Reaction Network Theory<br />
<br />
<b>Abstract:</b> In this talk, I will present some recent results in two related areas of Chemical Reaction Network Theory. (1) I will present a method called network translation which is often capable of determinining characteristics of the steady state sets of deterministically modeled mass action systems. The method associates the original reaction network to a related non-physical network which is more strongly connected than the original one. (2) I will investigate differences in long-term behavior between traditional deterministic models of chemical reaction systems and the more physically realistic stochastic models. I will present a classification of systems for which the deterministic model often predicts positivity, but for which an extinction event necessarily occurs when modeled stochastically.<br />
<br />
== Friday, December 5 (11:00 a.m. in Van Vleck 901), [http://www4.ncsu.edu/~ncmeshka/ Nikki Meshkat] (NCSU) ==<br />
<br />
<b>Title:</b> Finding identifiable functions of linear and nonlinear biological models<br />
<br />
<b>Abstract:</b> Identifiability concerns finding which unknown parameters of a model can be quantified from given input-output data. Many linear ODE models, used primarily in Systems Biology, are unidentifiable, which means that parameters can take on an infinite number of values and yet yield the same input-output data. For a given unidentifiable model, the goal is then to find a set of identifiable functions, i.e. parameter combinations, and then attempt to find a scaling reparametrization so that the resulting model is identifiable. We examine this problem of finding a simple set of identifiable parameter combinations for both linear and nonlinear models. In particular, we use a graph-theoretic approach to find identifiable parameter combinations for linear compartment models and also demonstrate an algorithm using Grobner bases to find identifiable parameter combinations for nonlinear models. We demonstrate these results using our web implementation, COMBOS.</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Networks_Seminar&diff=9246Networks Seminar2015-01-27T16:43:51Z<p>Anderson: /* Wednesday, March 18, Claudia Solis-Lemus (UW-Madison statistics) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Introduction and Overview =<br />
<br />
Networks arise in many scientific applications, from resource allocation/transportation problems, to electrical engineering networks, to the study of biochemical reactions systems. While the intended applications and analytic techniques vary significantly in these disciplines, the core goal remains the same: to extract as much information as possible about the dynamical behaviors of the resulting systems from the structure of the network itself.<br />
<br />
= Organization and Contacts =<br />
<br />
The Networks Seminar is currently organized by Matthew D. Johnston, David F. Anderson, and Gheorghe Craciun. Contact information, including how to join the mailing list, is contained below:<br />
<br />
Matthew D. Johnston<br><br />
<b>Tel:</b> 608-263-2727<br><br />
<b>Email:</b> mjohnston3[at]wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~mjohnston3 www.math.wisc.edu/~mjohnston3]<br />
<br />
David F. Anderson<br><br />
<b>Tel:</b> 608-263-4943<br><br />
<b>Email:</b> anderson[at]math.wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~anderson www.math.wisc.edu/~anderson]<br />
<br />
Gheorghe Craciun<br><br />
<b>Tel:</b> 608-265-3391<br><br />
<b>Email:</b> craciun[at]math.wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~craciun www.math.wisc.edu/~craciun]<br />
<br />
<b>Join Mailing List:</b> join-math-networks-seminar[at]lists.wisc.edu<br />
<br />
<b>Email Mailing List:</b> networksem[at]math.wisc.edu<br />
<br />
= Spring 2015 =<br />
<br />
The seminar will take place on <b>Wednesdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. <br />
<br />
== Friday, January 30 (1:00 p.m. in Van Vleck B129), [http://www.math.wisc.edu/~craciun/ Gheorghe Craciun] (UW-Madison) ==<br />
<br />
<b>Title:</b> Toric Differential Inclusions and a Proof of the Global Attractor Conjecture<br />
<br />
<b>Abstract:</b> The global attractor conjecture says that toric dynamical systems (i.e., a class of polynomial dynamical systems on the positive orthant) have a globally attracting point within each positive linear invariant subspace -- or, equivalently, complex balanced mass-action systems have a globally attracting point within each positive stoichiometric compatibility class. We introduce toric differential inclusions, and we show that each positive solution of a toric differential inclusion is contained in an invariant region that prevents it from approaching the origin. In particular, we show that similar invariant regions prevent positive solutions of weakly reversible k-variable polynomial dynamical systems from approaching the origin. We use this result to prove the global attractor conjecture.<br />
<br />
== Wednesday, February 4 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, February 11 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, February 18==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, February 25 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, March 4 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, March 11 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, March 18==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, March 25 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, April 1 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, April 8 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, April 15 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
= Past Seminars =<br />
<br />
= Fall 2014 =<br />
<br />
== Wednesday, September 17, [http://www.math.wisc.edu/~mjohnston3 Matthew D. Johnston] (UW-Madison) ==<br />
<br />
<b>Title:</b> An Introduction to Chemical Reaction Network Theory<br />
<br />
<b>Abstract:</b> There has been significant interest recently in the relationship between the kinetic of models of biochemical reaction networks and the underlying network structure. In this introductory talk, we will discuss the basic features of so-called Chemical Reaction Network Theory which has been an active area of research since the 1970s. In particular, graph-theoretic notions such as weak reversibility and network deficiency will be introduced. We will also discuss reasonable modeling choices---including deterministic and stochastic formulations---and summarize a few surprising results which hold for deterministically modeled mass action systems.<br />
<br />
== Monday, September 22 (2:25 p.m. in Van Vleck B105) [http://math.wvu.edu/~cpantea/ Casian Pantea] (WVU) ==<br />
<br />
<b>Title:</b> Injectivity and multistationarity in chemical reaction networks <br />
<br />
<b>Abstract:</b> Much attention has been paid recently to bistability and switch-like behavior that might be resident in important biochemical reaction networks. It turns out that large classes of extremely complex networks cannot give rise to multistationarity, no matter what their reaction rates might be. In turn, absence of multistationarity in a reaction network is often a consequence of the corresponding vector field being injective. In this talk I will give an overview of both older and newer injectivity results for vector fields associated with a biochemical reaction network. As much as possible, the matrix-theoretic techniques behind these results will also be discussed.<br />
<br />
== Wednesday, October 1 [http://www.math.wisc.edu/~anderson/ David F. Anderson] (UW-Madison) ==<br />
<br />
<b>Title:</b> Deficiency and stochastic models of biochemical reaction networks<br />
<br />
<b>Abstract:</b> The deficiency of a reaction network is central to many results from chemical reaction network theory. In this talk, I will explain what the deficiency of a reaction network is, and how it can be used to shed light on the behavior of the associated mathematical models. I will try to discuss results for both deterministic and stochastic models.<br />
<br />
== Wednesday, October 15, [http://www.math.ku.dk/english/about/news/phd-students/phd_cappelletti/ Daniele Cappelletti] (University of Copenhagen) ==<br />
<br />
<b>Title:</b> Elimination of intermediate species in biochemical reaction networks<br />
<br />
<b>Abstract:</b> Biochemical reactions often proceed through the formation of transient intermediate species. These species are usually more unstable than the other species and degraded at a faster rate. Due to the complexity and intractability of many reaction networks, intermediate species are therefore often ignored in the models. In this talk I will formally introduce stochastic reaction networks and unveil a connection with the deterministic ones. Further, I will show an asymptotic result giving some condition on when it is possible to safely ignore intermediate species, both in the stochastic and deterministic frameworks. I will finally show some further issues on intermediate species I am currently working on.<br />
<br />
== Wednesday, October 22; October 29; November 5, [http://www.math.wisc.edu/~craciun/ Gheorghe Craciun] (UW-Madison) ==<br />
<br />
<b>Title:</b> Persistence properties of mass action systems<br />
<br />
<b>Abstract:</b> A positive trajectory of a dynamical system is called persistent if, in the long run, it does not approach the boundary of the positive orthant. In biological applications, the persistence property is critical in deciding if a species in an ecosystem will become extinct, an infection will die off, or a chemical species will be completely consumed by a reaction network. We describe some classes of dynamical systems for which all positive trajectories are persistent. We also describe connections to the Global Attractor Conjecture, which says that a large class of mass-action systems (called complex balanced or toric dynamical systems) have a global attractor within any invariant subspace.<br />
<br />
== Wednesday, November 19 [http://www.math.wisc.edu/~mjohnston3 Matthew D. Johnston] (UW-Madison) ==<br />
<br />
<b>Title:</b> Recent Results in Chemical Reaction Network Theory<br />
<br />
<b>Abstract:</b> In this talk, I will present some recent results in two related areas of Chemical Reaction Network Theory. (1) I will present a method called network translation which is often capable of determinining characteristics of the steady state sets of deterministically modeled mass action systems. The method associates the original reaction network to a related non-physical network which is more strongly connected than the original one. (2) I will investigate differences in long-term behavior between traditional deterministic models of chemical reaction systems and the more physically realistic stochastic models. I will present a classification of systems for which the deterministic model often predicts positivity, but for which an extinction event necessarily occurs when modeled stochastically.<br />
<br />
== Friday, December 5 (11:00 a.m. in Van Vleck 901), [http://www4.ncsu.edu/~ncmeshka/ Nikki Meshkat] (NCSU) ==<br />
<br />
<b>Title:</b> Finding identifiable functions of linear and nonlinear biological models<br />
<br />
<b>Abstract:</b> Identifiability concerns finding which unknown parameters of a model can be quantified from given input-output data. Many linear ODE models, used primarily in Systems Biology, are unidentifiable, which means that parameters can take on an infinite number of values and yet yield the same input-output data. For a given unidentifiable model, the goal is then to find a set of identifiable functions, i.e. parameter combinations, and then attempt to find a scaling reparametrization so that the resulting model is identifiable. We examine this problem of finding a simple set of identifiable parameter combinations for both linear and nonlinear models. In particular, we use a graph-theoretic approach to find identifiable parameter combinations for linear compartment models and also demonstrate an algorithm using Grobner bases to find identifiable parameter combinations for nonlinear models. We demonstrate these results using our web implementation, COMBOS.</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Networks_Seminar&diff=9184Networks Seminar2015-01-22T21:03:16Z<p>Anderson: </p>
<hr />
<div>__NOTOC__<br />
<br />
= Introduction and Overview =<br />
<br />
Networks arise in many scientific applications, from resource allocation/transportation problems, to electrical engineering networks, to the study of biochemical reactions systems. While the intended applications and analytic techniques vary significantly in these disciplines, the core goal remains the same: to extract as much information as possible about the dynamical behaviors of the resulting systems from the structure of the network itself.<br />
<br />
= Organization and Contacts =<br />
<br />
The Networks Seminar is currently organized by Matthew D. Johnston, David F. Anderson, and Gheorghe Craciun. Contact information, including how to join the mailing list, is contained below:<br />
<br />
Matthew D. Johnston<br><br />
<b>Tel:</b> 608-263-2727<br><br />
<b>Email:</b> mjohnston3[at]wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~mjohnston3 www.math.wisc.edu/~mjohnston3]<br />
<br />
David F. Anderson<br><br />
<b>Tel:</b> 608-263-4943<br><br />
<b>Email:</b> anderson[at]math.wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~anderson www.math.wisc.edu/~anderson]<br />
<br />
Gheorghe Craciun<br><br />
<b>Tel:</b> 608-265-3391<br><br />
<b>Email:</b> craciun[at]math.wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~craciun www.math.wisc.edu/~craciun]<br />
<br />
<b>Join Mailing List:</b> join-math-networks-seminar[at]lists.wisc.edu<br />
<br />
<b>Email Mailing List:</b> networksem[at]math.wisc.edu<br />
<br />
= Spring 2015 =<br />
<br />
The seminar will take place on <b>Wednesdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. <br />
<br />
== Friday, January 30 (Time and Room: TBD) [http://www.math.wisc.edu/~craciun/ Gheorghe Craciun] (UW-Madison) ==<br />
<br />
<b>Title:</b> Toric Differential Inclusions and a Proof of the Global Attractor Conjecture<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, February 4 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, February 11 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, February 18==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, February 25 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, March 4 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, March 11 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, March 18, [http://pages.stat.wisc.edu/~claudia/ Claudia Solis-Lemus] (UW-Madison statistics) ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, March 25 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, April 1 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, April 8 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
<br />
== Wednesday, April 15 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
= Past Seminars =<br />
<br />
= Fall 2014 =<br />
<br />
== Wednesday, September 17, [http://www.math.wisc.edu/~mjohnston3 Matthew D. Johnston] (UW-Madison) ==<br />
<br />
<b>Title:</b> An Introduction to Chemical Reaction Network Theory<br />
<br />
<b>Abstract:</b> There has been significant interest recently in the relationship between the kinetic of models of biochemical reaction networks and the underlying network structure. In this introductory talk, we will discuss the basic features of so-called Chemical Reaction Network Theory which has been an active area of research since the 1970s. In particular, graph-theoretic notions such as weak reversibility and network deficiency will be introduced. We will also discuss reasonable modeling choices---including deterministic and stochastic formulations---and summarize a few surprising results which hold for deterministically modeled mass action systems.<br />
<br />
== Monday, September 22 (2:25 p.m. in Van Vleck B105) [http://math.wvu.edu/~cpantea/ Casian Pantea] (WVU) ==<br />
<br />
<b>Title:</b> Injectivity and multistationarity in chemical reaction networks <br />
<br />
<b>Abstract:</b> Much attention has been paid recently to bistability and switch-like behavior that might be resident in important biochemical reaction networks. It turns out that large classes of extremely complex networks cannot give rise to multistationarity, no matter what their reaction rates might be. In turn, absence of multistationarity in a reaction network is often a consequence of the corresponding vector field being injective. In this talk I will give an overview of both older and newer injectivity results for vector fields associated with a biochemical reaction network. As much as possible, the matrix-theoretic techniques behind these results will also be discussed.<br />
<br />
== Wednesday, October 1 [http://www.math.wisc.edu/~anderson/ David F. Anderson] (UW-Madison) ==<br />
<br />
<b>Title:</b> Deficiency and stochastic models of biochemical reaction networks<br />
<br />
<b>Abstract:</b> The deficiency of a reaction network is central to many results from chemical reaction network theory. In this talk, I will explain what the deficiency of a reaction network is, and how it can be used to shed light on the behavior of the associated mathematical models. I will try to discuss results for both deterministic and stochastic models.<br />
<br />
== Wednesday, October 15, [http://www.math.ku.dk/english/about/news/phd-students/phd_cappelletti/ Daniele Cappelletti] (University of Copenhagen) ==<br />
<br />
<b>Title:</b> Elimination of intermediate species in biochemical reaction networks<br />
<br />
<b>Abstract:</b> Biochemical reactions often proceed through the formation of transient intermediate species. These species are usually more unstable than the other species and degraded at a faster rate. Due to the complexity and intractability of many reaction networks, intermediate species are therefore often ignored in the models. In this talk I will formally introduce stochastic reaction networks and unveil a connection with the deterministic ones. Further, I will show an asymptotic result giving some condition on when it is possible to safely ignore intermediate species, both in the stochastic and deterministic frameworks. I will finally show some further issues on intermediate species I am currently working on.<br />
<br />
== Wednesday, October 22; October 29; November 5, [http://www.math.wisc.edu/~craciun/ Gheorghe Craciun] (UW-Madison) ==<br />
<br />
<b>Title:</b> Persistence properties of mass action systems<br />
<br />
<b>Abstract:</b> A positive trajectory of a dynamical system is called persistent if, in the long run, it does not approach the boundary of the positive orthant. In biological applications, the persistence property is critical in deciding if a species in an ecosystem will become extinct, an infection will die off, or a chemical species will be completely consumed by a reaction network. We describe some classes of dynamical systems for which all positive trajectories are persistent. We also describe connections to the Global Attractor Conjecture, which says that a large class of mass-action systems (called complex balanced or toric dynamical systems) have a global attractor within any invariant subspace.<br />
<br />
== Wednesday, November 19 [http://www.math.wisc.edu/~mjohnston3 Matthew D. Johnston] (UW-Madison) ==<br />
<br />
<b>Title:</b> Recent Results in Chemical Reaction Network Theory<br />
<br />
<b>Abstract:</b> In this talk, I will present some recent results in two related areas of Chemical Reaction Network Theory. (1) I will present a method called network translation which is often capable of determinining characteristics of the steady state sets of deterministically modeled mass action systems. The method associates the original reaction network to a related non-physical network which is more strongly connected than the original one. (2) I will investigate differences in long-term behavior between traditional deterministic models of chemical reaction systems and the more physically realistic stochastic models. I will present a classification of systems for which the deterministic model often predicts positivity, but for which an extinction event necessarily occurs when modeled stochastically.<br />
<br />
== Friday, December 5 (11:00 a.m. in Van Vleck 901), [http://www4.ncsu.edu/~ncmeshka/ Nikki Meshkat] (NCSU) ==<br />
<br />
<b>Title:</b> Finding identifiable functions of linear and nonlinear biological models<br />
<br />
<b>Abstract:</b> Identifiability concerns finding which unknown parameters of a model can be quantified from given input-output data. Many linear ODE models, used primarily in Systems Biology, are unidentifiable, which means that parameters can take on an infinite number of values and yet yield the same input-output data. For a given unidentifiable model, the goal is then to find a set of identifiable functions, i.e. parameter combinations, and then attempt to find a scaling reparametrization so that the resulting model is identifiable. We examine this problem of finding a simple set of identifiable parameter combinations for both linear and nonlinear models. In particular, we use a graph-theoretic approach to find identifiable parameter combinations for linear compartment models and also demonstrate an algorithm using Grobner bases to find identifiable parameter combinations for nonlinear models. We demonstrate these results using our web implementation, COMBOS.</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Networks_Seminar&diff=9183Networks Seminar2015-01-22T21:00:59Z<p>Anderson: /* Wednesday, February 18, Claudia Solis-Lemus (UW-Madison statistics) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Introduction and Overview =<br />
<br />
Networks arise in many scientific applications, from resource allocation/transportation problems, to electrical engineering networks, to the study of biochemical reactions systems. While the intended applications and analytic techniques vary significantly in these disciplines, the core goal remains the same: to extract as much information as possible about the dynamical behaviors of the resulting systems from the structure of the network itself.<br />
<br />
= Organization and Contacts =<br />
<br />
The Networks Seminar is currently organized by Matthew D. Johnston, David F. Anderson, and Gheorghe Craciun. Contact information, including how to join the mailing list, is contained below:<br />
<br />
Matthew D. Johnston<br><br />
<b>Tel:</b> 608-263-2727<br><br />
<b>Email:</b> mjohnston3[at]wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~mjohnston3 www.math.wisc.edu/~mjohnston3]<br />
<br />
David F. Anderson<br><br />
<b>Tel:</b> 608-263-4943<br><br />
<b>Email:</b> anderson[at]math.wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~anderson www.math.wisc.edu/~anderson]<br />
<br />
Gheorghe Craciun<br><br />
<b>Tel:</b> 608-265-3391<br><br />
<b>Email:</b> craciun[at]math.wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~craciun www.math.wisc.edu/~craciun]<br />
<br />
<b>Join Mailing List:</b> join-math-networks-seminar[at]lists.wisc.edu<br />
<br />
<b>Email Mailing List:</b> networksem[at]math.wisc.edu<br />
<br />
= Spring 2015 =<br />
<br />
The seminar will take place on <b>Wednesdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. <br />
<br />
== Friday, January 30 (Time and Room: TBD) [http://www.math.wisc.edu/~craciun/ Gheorghe Craciun] (UW-Madison) ==<br />
<br />
<b>Title:</b> Toric Differential Inclusions and a Proof of the Global Attractor Conjecture<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, February 4 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, February 11 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, February 18==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, February 25 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
= Past Seminars =<br />
<br />
= Fall 2014 =<br />
<br />
== Wednesday, September 17, [http://www.math.wisc.edu/~mjohnston3 Matthew D. Johnston] (UW-Madison) ==<br />
<br />
<b>Title:</b> An Introduction to Chemical Reaction Network Theory<br />
<br />
<b>Abstract:</b> There has been significant interest recently in the relationship between the kinetic of models of biochemical reaction networks and the underlying network structure. In this introductory talk, we will discuss the basic features of so-called Chemical Reaction Network Theory which has been an active area of research since the 1970s. In particular, graph-theoretic notions such as weak reversibility and network deficiency will be introduced. We will also discuss reasonable modeling choices---including deterministic and stochastic formulations---and summarize a few surprising results which hold for deterministically modeled mass action systems.<br />
<br />
== Monday, September 22 (2:25 p.m. in Van Vleck B105) [http://math.wvu.edu/~cpantea/ Casian Pantea] (WVU) ==<br />
<br />
<b>Title:</b> Injectivity and multistationarity in chemical reaction networks <br />
<br />
<b>Abstract:</b> Much attention has been paid recently to bistability and switch-like behavior that might be resident in important biochemical reaction networks. It turns out that large classes of extremely complex networks cannot give rise to multistationarity, no matter what their reaction rates might be. In turn, absence of multistationarity in a reaction network is often a consequence of the corresponding vector field being injective. In this talk I will give an overview of both older and newer injectivity results for vector fields associated with a biochemical reaction network. As much as possible, the matrix-theoretic techniques behind these results will also be discussed.<br />
<br />
== Wednesday, October 1 [http://www.math.wisc.edu/~anderson/ David F. Anderson] (UW-Madison) ==<br />
<br />
<b>Title:</b> Deficiency and stochastic models of biochemical reaction networks<br />
<br />
<b>Abstract:</b> The deficiency of a reaction network is central to many results from chemical reaction network theory. In this talk, I will explain what the deficiency of a reaction network is, and how it can be used to shed light on the behavior of the associated mathematical models. I will try to discuss results for both deterministic and stochastic models.<br />
<br />
== Wednesday, October 15, [http://www.math.ku.dk/english/about/news/phd-students/phd_cappelletti/ Daniele Cappelletti] (University of Copenhagen) ==<br />
<br />
<b>Title:</b> Elimination of intermediate species in biochemical reaction networks<br />
<br />
<b>Abstract:</b> Biochemical reactions often proceed through the formation of transient intermediate species. These species are usually more unstable than the other species and degraded at a faster rate. Due to the complexity and intractability of many reaction networks, intermediate species are therefore often ignored in the models. In this talk I will formally introduce stochastic reaction networks and unveil a connection with the deterministic ones. Further, I will show an asymptotic result giving some condition on when it is possible to safely ignore intermediate species, both in the stochastic and deterministic frameworks. I will finally show some further issues on intermediate species I am currently working on.<br />
<br />
== Wednesday, October 22; October 29; November 5, [http://www.math.wisc.edu/~craciun/ Gheorghe Craciun] (UW-Madison) ==<br />
<br />
<b>Title:</b> Persistence properties of mass action systems<br />
<br />
<b>Abstract:</b> A positive trajectory of a dynamical system is called persistent if, in the long run, it does not approach the boundary of the positive orthant. In biological applications, the persistence property is critical in deciding if a species in an ecosystem will become extinct, an infection will die off, or a chemical species will be completely consumed by a reaction network. We describe some classes of dynamical systems for which all positive trajectories are persistent. We also describe connections to the Global Attractor Conjecture, which says that a large class of mass-action systems (called complex balanced or toric dynamical systems) have a global attractor within any invariant subspace.<br />
<br />
== Wednesday, November 19 [http://www.math.wisc.edu/~mjohnston3 Matthew D. Johnston] (UW-Madison) ==<br />
<br />
<b>Title:</b> Recent Results in Chemical Reaction Network Theory<br />
<br />
<b>Abstract:</b> In this talk, I will present some recent results in two related areas of Chemical Reaction Network Theory. (1) I will present a method called network translation which is often capable of determinining characteristics of the steady state sets of deterministically modeled mass action systems. The method associates the original reaction network to a related non-physical network which is more strongly connected than the original one. (2) I will investigate differences in long-term behavior between traditional deterministic models of chemical reaction systems and the more physically realistic stochastic models. I will present a classification of systems for which the deterministic model often predicts positivity, but for which an extinction event necessarily occurs when modeled stochastically.<br />
<br />
== Friday, December 5 (11:00 a.m. in Van Vleck 901), [http://www4.ncsu.edu/~ncmeshka/ Nikki Meshkat] (NCSU) ==<br />
<br />
<b>Title:</b> Finding identifiable functions of linear and nonlinear biological models<br />
<br />
<b>Abstract:</b> Identifiability concerns finding which unknown parameters of a model can be quantified from given input-output data. Many linear ODE models, used primarily in Systems Biology, are unidentifiable, which means that parameters can take on an infinite number of values and yet yield the same input-output data. For a given unidentifiable model, the goal is then to find a set of identifiable functions, i.e. parameter combinations, and then attempt to find a scaling reparametrization so that the resulting model is identifiable. We examine this problem of finding a simple set of identifiable parameter combinations for both linear and nonlinear models. In particular, we use a graph-theoretic approach to find identifiable parameter combinations for linear compartment models and also demonstrate an algorithm using Grobner bases to find identifiable parameter combinations for nonlinear models. We demonstrate these results using our web implementation, COMBOS.</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Networks_Seminar&diff=9176Networks Seminar2015-01-22T14:32:05Z<p>Anderson: /* Wednesday, February 18, Claudia Sol$iaccutes-Lemus (UW-Madison statistics) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Introduction and Overview =<br />
<br />
Networks arise in many scientific applications, from resource allocation/transportation problems, to electrical engineering networks, to the study of biochemical reactions systems. While the intended applications and analytic techniques vary significantly in these disciplines, the core goal remains the same: to extract as much information as possible about the dynamical behaviors of the resulting systems from the structure of the network itself.<br />
<br />
= Organization and Contacts =<br />
<br />
The Networks Seminar is currently organized by Matthew D. Johnston, David F. Anderson, and Gheorghe Craciun. Contact information, including how to join the mailing list, is contained below:<br />
<br />
Matthew D. Johnston<br><br />
<b>Tel:</b> 608-263-2727<br><br />
<b>Email:</b> mjohnston3[at]wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~mjohnston3 www.math.wisc.edu/~mjohnston3]<br />
<br />
David F. Anderson<br><br />
<b>Tel:</b> 608-263-4943<br><br />
<b>Email:</b> anderson[at]math.wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~anderson www.math.wisc.edu/~anderson]<br />
<br />
Gheorghe Craciun<br><br />
<b>Tel:</b> 608-265-3391<br><br />
<b>Email:</b> craciun[at]math.wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~craciun www.math.wisc.edu/~craciun]<br />
<br />
<b>Join Mailing List:</b> join-math-networks-seminar[at]lists.wisc.edu<br />
<br />
<b>Email Mailing List:</b> networksem[at]math.wisc.edu<br />
<br />
= Spring 2015 =<br />
<br />
The seminar will take place on <b>Wednesdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. <br />
<br />
== Wednesday, January 28 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, February 4 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, February 11 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, February 18, [http://pages.stat.wisc.edu/~claudia/ Claudia Solis-Lemus] (UW-Madison statistics)==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, February 25 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
= Past Seminars =<br />
<br />
= Fall 2014 =<br />
<br />
== Wednesday, September 17, [http://www.math.wisc.edu/~mjohnston3 Matthew D. Johnston] (UW-Madison) ==<br />
<br />
<b>Title:</b> An Introduction to Chemical Reaction Network Theory<br />
<br />
<b>Abstract:</b> There has been significant interest recently in the relationship between the kinetic of models of biochemical reaction networks and the underlying network structure. In this introductory talk, we will discuss the basic features of so-called Chemical Reaction Network Theory which has been an active area of research since the 1970s. In particular, graph-theoretic notions such as weak reversibility and network deficiency will be introduced. We will also discuss reasonable modeling choices---including deterministic and stochastic formulations---and summarize a few surprising results which hold for deterministically modeled mass action systems.<br />
<br />
== Monday, September 22 (2:25 p.m. in Van Vleck B105) [http://math.wvu.edu/~cpantea/ Casian Pantea] (WVU) ==<br />
<br />
<b>Title:</b> Injectivity and multistationarity in chemical reaction networks <br />
<br />
<b>Abstract:</b> Much attention has been paid recently to bistability and switch-like behavior that might be resident in important biochemical reaction networks. It turns out that large classes of extremely complex networks cannot give rise to multistationarity, no matter what their reaction rates might be. In turn, absence of multistationarity in a reaction network is often a consequence of the corresponding vector field being injective. In this talk I will give an overview of both older and newer injectivity results for vector fields associated with a biochemical reaction network. As much as possible, the matrix-theoretic techniques behind these results will also be discussed.<br />
<br />
== Wednesday, October 1 [http://www.math.wisc.edu/~anderson/ David F. Anderson] (UW-Madison) ==<br />
<br />
<b>Title:</b> Deficiency and stochastic models of biochemical reaction networks<br />
<br />
<b>Abstract:</b> The deficiency of a reaction network is central to many results from chemical reaction network theory. In this talk, I will explain what the deficiency of a reaction network is, and how it can be used to shed light on the behavior of the associated mathematical models. I will try to discuss results for both deterministic and stochastic models.<br />
<br />
== Wednesday, October 15, [http://www.math.ku.dk/english/about/news/phd-students/phd_cappelletti/ Daniele Cappelletti] (University of Copenhagen) ==<br />
<br />
<b>Title:</b> Elimination of intermediate species in biochemical reaction networks<br />
<br />
<b>Abstract:</b> Biochemical reactions often proceed through the formation of transient intermediate species. These species are usually more unstable than the other species and degraded at a faster rate. Due to the complexity and intractability of many reaction networks, intermediate species are therefore often ignored in the models. In this talk I will formally introduce stochastic reaction networks and unveil a connection with the deterministic ones. Further, I will show an asymptotic result giving some condition on when it is possible to safely ignore intermediate species, both in the stochastic and deterministic frameworks. I will finally show some further issues on intermediate species I am currently working on.<br />
<br />
== Wednesday, October 22; October 29; November 5, [http://www.math.wisc.edu/~craciun/ Gheorghe Craciun] (UW-Madison) ==<br />
<br />
<b>Title:</b> Persistence properties of mass action systems<br />
<br />
<b>Abstract:</b> A positive trajectory of a dynamical system is called persistent if, in the long run, it does not approach the boundary of the positive orthant. In biological applications, the persistence property is critical in deciding if a species in an ecosystem will become extinct, an infection will die off, or a chemical species will be completely consumed by a reaction network. We describe some classes of dynamical systems for which all positive trajectories are persistent. We also describe connections to the Global Attractor Conjecture, which says that a large class of mass-action systems (called complex balanced or toric dynamical systems) have a global attractor within any invariant subspace.<br />
<br />
== Wednesday, November 19 [http://www.math.wisc.edu/~mjohnston3 Matthew D. Johnston] (UW-Madison) ==<br />
<br />
<b>Title:</b> Recent Results in Chemical Reaction Network Theory<br />
<br />
<b>Abstract:</b> In this talk, I will present some recent results in two related areas of Chemical Reaction Network Theory. (1) I will present a method called network translation which is often capable of determinining characteristics of the steady state sets of deterministically modeled mass action systems. The method associates the original reaction network to a related non-physical network which is more strongly connected than the original one. (2) I will investigate differences in long-term behavior between traditional deterministic models of chemical reaction systems and the more physically realistic stochastic models. I will present a classification of systems for which the deterministic model often predicts positivity, but for which an extinction event necessarily occurs when modeled stochastically.<br />
<br />
== Friday, December 5 (11:00 a.m. in Van Vleck 901), [http://www4.ncsu.edu/~ncmeshka/ Nikki Meshkat] (NCSU) ==<br />
<br />
<b>Title:</b> Finding identifiable functions of linear and nonlinear biological models<br />
<br />
<b>Abstract:</b> Identifiability concerns finding which unknown parameters of a model can be quantified from given input-output data. Many linear ODE models, used primarily in Systems Biology, are unidentifiable, which means that parameters can take on an infinite number of values and yet yield the same input-output data. For a given unidentifiable model, the goal is then to find a set of identifiable functions, i.e. parameter combinations, and then attempt to find a scaling reparametrization so that the resulting model is identifiable. We examine this problem of finding a simple set of identifiable parameter combinations for both linear and nonlinear models. In particular, we use a graph-theoretic approach to find identifiable parameter combinations for linear compartment models and also demonstrate an algorithm using Grobner bases to find identifiable parameter combinations for nonlinear models. We demonstrate these results using our web implementation, COMBOS.</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Networks_Seminar&diff=9175Networks Seminar2015-01-22T14:31:03Z<p>Anderson: /* Wednesday, February 18, Claudia Solis-Lemus (UW-Madison statistics) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Introduction and Overview =<br />
<br />
Networks arise in many scientific applications, from resource allocation/transportation problems, to electrical engineering networks, to the study of biochemical reactions systems. While the intended applications and analytic techniques vary significantly in these disciplines, the core goal remains the same: to extract as much information as possible about the dynamical behaviors of the resulting systems from the structure of the network itself.<br />
<br />
= Organization and Contacts =<br />
<br />
The Networks Seminar is currently organized by Matthew D. Johnston, David F. Anderson, and Gheorghe Craciun. Contact information, including how to join the mailing list, is contained below:<br />
<br />
Matthew D. Johnston<br><br />
<b>Tel:</b> 608-263-2727<br><br />
<b>Email:</b> mjohnston3[at]wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~mjohnston3 www.math.wisc.edu/~mjohnston3]<br />
<br />
David F. Anderson<br><br />
<b>Tel:</b> 608-263-4943<br><br />
<b>Email:</b> anderson[at]math.wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~anderson www.math.wisc.edu/~anderson]<br />
<br />
Gheorghe Craciun<br><br />
<b>Tel:</b> 608-265-3391<br><br />
<b>Email:</b> craciun[at]math.wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~craciun www.math.wisc.edu/~craciun]<br />
<br />
<b>Join Mailing List:</b> join-math-networks-seminar[at]lists.wisc.edu<br />
<br />
<b>Email Mailing List:</b> networksem[at]math.wisc.edu<br />
<br />
= Spring 2015 =<br />
<br />
The seminar will take place on <b>Wednesdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. <br />
<br />
== Wednesday, January 28 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, February 4 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, February 11 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, February 18, [http://pages.stat.wisc.edu/~claudia/ Claudia Sol$iaccutes-Lemus] (UW-Madison statistics)==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, February 25 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
= Past Seminars =<br />
<br />
= Fall 2014 =<br />
<br />
== Wednesday, September 17, [http://www.math.wisc.edu/~mjohnston3 Matthew D. Johnston] (UW-Madison) ==<br />
<br />
<b>Title:</b> An Introduction to Chemical Reaction Network Theory<br />
<br />
<b>Abstract:</b> There has been significant interest recently in the relationship between the kinetic of models of biochemical reaction networks and the underlying network structure. In this introductory talk, we will discuss the basic features of so-called Chemical Reaction Network Theory which has been an active area of research since the 1970s. In particular, graph-theoretic notions such as weak reversibility and network deficiency will be introduced. We will also discuss reasonable modeling choices---including deterministic and stochastic formulations---and summarize a few surprising results which hold for deterministically modeled mass action systems.<br />
<br />
== Monday, September 22 (2:25 p.m. in Van Vleck B105) [http://math.wvu.edu/~cpantea/ Casian Pantea] (WVU) ==<br />
<br />
<b>Title:</b> Injectivity and multistationarity in chemical reaction networks <br />
<br />
<b>Abstract:</b> Much attention has been paid recently to bistability and switch-like behavior that might be resident in important biochemical reaction networks. It turns out that large classes of extremely complex networks cannot give rise to multistationarity, no matter what their reaction rates might be. In turn, absence of multistationarity in a reaction network is often a consequence of the corresponding vector field being injective. In this talk I will give an overview of both older and newer injectivity results for vector fields associated with a biochemical reaction network. As much as possible, the matrix-theoretic techniques behind these results will also be discussed.<br />
<br />
== Wednesday, October 1 [http://www.math.wisc.edu/~anderson/ David F. Anderson] (UW-Madison) ==<br />
<br />
<b>Title:</b> Deficiency and stochastic models of biochemical reaction networks<br />
<br />
<b>Abstract:</b> The deficiency of a reaction network is central to many results from chemical reaction network theory. In this talk, I will explain what the deficiency of a reaction network is, and how it can be used to shed light on the behavior of the associated mathematical models. I will try to discuss results for both deterministic and stochastic models.<br />
<br />
== Wednesday, October 15, [http://www.math.ku.dk/english/about/news/phd-students/phd_cappelletti/ Daniele Cappelletti] (University of Copenhagen) ==<br />
<br />
<b>Title:</b> Elimination of intermediate species in biochemical reaction networks<br />
<br />
<b>Abstract:</b> Biochemical reactions often proceed through the formation of transient intermediate species. These species are usually more unstable than the other species and degraded at a faster rate. Due to the complexity and intractability of many reaction networks, intermediate species are therefore often ignored in the models. In this talk I will formally introduce stochastic reaction networks and unveil a connection with the deterministic ones. Further, I will show an asymptotic result giving some condition on when it is possible to safely ignore intermediate species, both in the stochastic and deterministic frameworks. I will finally show some further issues on intermediate species I am currently working on.<br />
<br />
== Wednesday, October 22; October 29; November 5, [http://www.math.wisc.edu/~craciun/ Gheorghe Craciun] (UW-Madison) ==<br />
<br />
<b>Title:</b> Persistence properties of mass action systems<br />
<br />
<b>Abstract:</b> A positive trajectory of a dynamical system is called persistent if, in the long run, it does not approach the boundary of the positive orthant. In biological applications, the persistence property is critical in deciding if a species in an ecosystem will become extinct, an infection will die off, or a chemical species will be completely consumed by a reaction network. We describe some classes of dynamical systems for which all positive trajectories are persistent. We also describe connections to the Global Attractor Conjecture, which says that a large class of mass-action systems (called complex balanced or toric dynamical systems) have a global attractor within any invariant subspace.<br />
<br />
== Wednesday, November 19 [http://www.math.wisc.edu/~mjohnston3 Matthew D. Johnston] (UW-Madison) ==<br />
<br />
<b>Title:</b> Recent Results in Chemical Reaction Network Theory<br />
<br />
<b>Abstract:</b> In this talk, I will present some recent results in two related areas of Chemical Reaction Network Theory. (1) I will present a method called network translation which is often capable of determinining characteristics of the steady state sets of deterministically modeled mass action systems. The method associates the original reaction network to a related non-physical network which is more strongly connected than the original one. (2) I will investigate differences in long-term behavior between traditional deterministic models of chemical reaction systems and the more physically realistic stochastic models. I will present a classification of systems for which the deterministic model often predicts positivity, but for which an extinction event necessarily occurs when modeled stochastically.<br />
<br />
== Friday, December 5 (11:00 a.m. in Van Vleck 901), [http://www4.ncsu.edu/~ncmeshka/ Nikki Meshkat] (NCSU) ==<br />
<br />
<b>Title:</b> Finding identifiable functions of linear and nonlinear biological models<br />
<br />
<b>Abstract:</b> Identifiability concerns finding which unknown parameters of a model can be quantified from given input-output data. Many linear ODE models, used primarily in Systems Biology, are unidentifiable, which means that parameters can take on an infinite number of values and yet yield the same input-output data. For a given unidentifiable model, the goal is then to find a set of identifiable functions, i.e. parameter combinations, and then attempt to find a scaling reparametrization so that the resulting model is identifiable. We examine this problem of finding a simple set of identifiable parameter combinations for both linear and nonlinear models. In particular, we use a graph-theoretic approach to find identifiable parameter combinations for linear compartment models and also demonstrate an algorithm using Grobner bases to find identifiable parameter combinations for nonlinear models. We demonstrate these results using our web implementation, COMBOS.</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Networks_Seminar&diff=9174Networks Seminar2015-01-22T14:29:19Z<p>Anderson: /* Wednesday, February 18 */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Introduction and Overview =<br />
<br />
Networks arise in many scientific applications, from resource allocation/transportation problems, to electrical engineering networks, to the study of biochemical reactions systems. While the intended applications and analytic techniques vary significantly in these disciplines, the core goal remains the same: to extract as much information as possible about the dynamical behaviors of the resulting systems from the structure of the network itself.<br />
<br />
= Organization and Contacts =<br />
<br />
The Networks Seminar is currently organized by Matthew D. Johnston, David F. Anderson, and Gheorghe Craciun. Contact information, including how to join the mailing list, is contained below:<br />
<br />
Matthew D. Johnston<br><br />
<b>Tel:</b> 608-263-2727<br><br />
<b>Email:</b> mjohnston3[at]wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~mjohnston3 www.math.wisc.edu/~mjohnston3]<br />
<br />
David F. Anderson<br><br />
<b>Tel:</b> 608-263-4943<br><br />
<b>Email:</b> anderson[at]math.wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~anderson www.math.wisc.edu/~anderson]<br />
<br />
Gheorghe Craciun<br><br />
<b>Tel:</b> 608-265-3391<br><br />
<b>Email:</b> craciun[at]math.wisc.edu<br><br />
<b>Webpage:</b> [http://www.math.wisc.edu/~craciun www.math.wisc.edu/~craciun]<br />
<br />
<b>Join Mailing List:</b> join-math-networks-seminar[at]lists.wisc.edu<br />
<br />
<b>Email Mailing List:</b> networksem[at]math.wisc.edu<br />
<br />
= Spring 2015 =<br />
<br />
The seminar will take place on <b>Wednesdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. <br />
<br />
== Wednesday, January 28 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, February 4 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, February 11 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, February 18, [http://pages.stat.wisc.edu/~claudia/ Claudia Solis-Lemus] (UW-Madison statistics)==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
== Wednesday, February 25 ==<br />
<br />
<b>Title:</b> TBD<br />
<br />
<b>Abstract:</b> TBD<br />
<br />
= Past Seminars =<br />
<br />
= Fall 2014 =<br />
<br />
== Wednesday, September 17, [http://www.math.wisc.edu/~mjohnston3 Matthew D. Johnston] (UW-Madison) ==<br />
<br />
<b>Title:</b> An Introduction to Chemical Reaction Network Theory<br />
<br />
<b>Abstract:</b> There has been significant interest recently in the relationship between the kinetic of models of biochemical reaction networks and the underlying network structure. In this introductory talk, we will discuss the basic features of so-called Chemical Reaction Network Theory which has been an active area of research since the 1970s. In particular, graph-theoretic notions such as weak reversibility and network deficiency will be introduced. We will also discuss reasonable modeling choices---including deterministic and stochastic formulations---and summarize a few surprising results which hold for deterministically modeled mass action systems.<br />
<br />
== Monday, September 22 (2:25 p.m. in Van Vleck B105) [http://math.wvu.edu/~cpantea/ Casian Pantea] (WVU) ==<br />
<br />
<b>Title:</b> Injectivity and multistationarity in chemical reaction networks <br />
<br />
<b>Abstract:</b> Much attention has been paid recently to bistability and switch-like behavior that might be resident in important biochemical reaction networks. It turns out that large classes of extremely complex networks cannot give rise to multistationarity, no matter what their reaction rates might be. In turn, absence of multistationarity in a reaction network is often a consequence of the corresponding vector field being injective. In this talk I will give an overview of both older and newer injectivity results for vector fields associated with a biochemical reaction network. As much as possible, the matrix-theoretic techniques behind these results will also be discussed.<br />
<br />
== Wednesday, October 1 [http://www.math.wisc.edu/~anderson/ David F. Anderson] (UW-Madison) ==<br />
<br />
<b>Title:</b> Deficiency and stochastic models of biochemical reaction networks<br />
<br />
<b>Abstract:</b> The deficiency of a reaction network is central to many results from chemical reaction network theory. In this talk, I will explain what the deficiency of a reaction network is, and how it can be used to shed light on the behavior of the associated mathematical models. I will try to discuss results for both deterministic and stochastic models.<br />
<br />
== Wednesday, October 15, [http://www.math.ku.dk/english/about/news/phd-students/phd_cappelletti/ Daniele Cappelletti] (University of Copenhagen) ==<br />
<br />
<b>Title:</b> Elimination of intermediate species in biochemical reaction networks<br />
<br />
<b>Abstract:</b> Biochemical reactions often proceed through the formation of transient intermediate species. These species are usually more unstable than the other species and degraded at a faster rate. Due to the complexity and intractability of many reaction networks, intermediate species are therefore often ignored in the models. In this talk I will formally introduce stochastic reaction networks and unveil a connection with the deterministic ones. Further, I will show an asymptotic result giving some condition on when it is possible to safely ignore intermediate species, both in the stochastic and deterministic frameworks. I will finally show some further issues on intermediate species I am currently working on.<br />
<br />
== Wednesday, October 22; October 29; November 5, [http://www.math.wisc.edu/~craciun/ Gheorghe Craciun] (UW-Madison) ==<br />
<br />
<b>Title:</b> Persistence properties of mass action systems<br />
<br />
<b>Abstract:</b> A positive trajectory of a dynamical system is called persistent if, in the long run, it does not approach the boundary of the positive orthant. In biological applications, the persistence property is critical in deciding if a species in an ecosystem will become extinct, an infection will die off, or a chemical species will be completely consumed by a reaction network. We describe some classes of dynamical systems for which all positive trajectories are persistent. We also describe connections to the Global Attractor Conjecture, which says that a large class of mass-action systems (called complex balanced or toric dynamical systems) have a global attractor within any invariant subspace.<br />
<br />
== Wednesday, November 19 [http://www.math.wisc.edu/~mjohnston3 Matthew D. Johnston] (UW-Madison) ==<br />
<br />
<b>Title:</b> Recent Results in Chemical Reaction Network Theory<br />
<br />
<b>Abstract:</b> In this talk, I will present some recent results in two related areas of Chemical Reaction Network Theory. (1) I will present a method called network translation which is often capable of determinining characteristics of the steady state sets of deterministically modeled mass action systems. The method associates the original reaction network to a related non-physical network which is more strongly connected than the original one. (2) I will investigate differences in long-term behavior between traditional deterministic models of chemical reaction systems and the more physically realistic stochastic models. I will present a classification of systems for which the deterministic model often predicts positivity, but for which an extinction event necessarily occurs when modeled stochastically.<br />
<br />
== Friday, December 5 (11:00 a.m. in Van Vleck 901), [http://www4.ncsu.edu/~ncmeshka/ Nikki Meshkat] (NCSU) ==<br />
<br />
<b>Title:</b> Finding identifiable functions of linear and nonlinear biological models<br />
<br />
<b>Abstract:</b> Identifiability concerns finding which unknown parameters of a model can be quantified from given input-output data. Many linear ODE models, used primarily in Systems Biology, are unidentifiable, which means that parameters can take on an infinite number of values and yet yield the same input-output data. For a given unidentifiable model, the goal is then to find a set of identifiable functions, i.e. parameter combinations, and then attempt to find a scaling reparametrization so that the resulting model is identifiable. We examine this problem of finding a simple set of identifiable parameter combinations for both linear and nonlinear models. In particular, we use a graph-theoretic approach to find identifiable parameter combinations for linear compartment models and also demonstrate an algorithm using Grobner bases to find identifiable parameter combinations for nonlinear models. We demonstrate these results using our web implementation, COMBOS.</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_group_timetable&diff=9110Probability group timetable2015-01-13T17:06:24Z<p>Anderson: </p>
<hr />
<div>{| border="2"<br />
| ||Monday||Tuesday||Wednesday||Thursday||Friday<br />
|-<br />
| 9-10|| || Jun 833, Phil 431|| Dave OH || Jun 833, Phil 431 || <br />
|-<br />
| 10-11|| Dave 431 || Jun 833, Phil 431 || Dave 431 || Jun 833, Phil 431 || Dave 431<br />
|-<br />
| 11-12|| Dave OH ||Benedek 531, Scott 276 || || Benedek 531, Scott 276 || <br />
|-<br />
| 12-1||Scott 276 || || Scott 276 || ||<br />
|-<br />
| 1-2|||| Timo 734 Jun 632, Phil 431|| || Benedek OH <br>Timo 734 Jun 632, Phil 431||<br />
|-<br />
| 2-3|| || reading seminar (2:25pm) || || probability seminar (2:25pm) ||<br />
|-<br />
| 3-4|| || Benedek OH (3:30 pm) || || ||<br />
|-<br />
| 4-5|| || || || || Colloquium<br />
|-<br />
| 5-6|| || || || ||<br />
|}</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_group_timetable&diff=9067Probability group timetable2015-01-07T15:23:51Z<p>Anderson: </p>
<hr />
<div>{| border="2"<br />
| ||Monday||Tuesday||Wednesday||Thursday||Friday<br />
|-<br />
| 9-10|| || Jun 833, Phil 431|| || Jun 833, Phil 431 || <br />
|-<br />
| 10-11|| Dave 431 || Jun 833, Phil 431 || Dave 431 || Jun 833, Phil 431 || Dave 431<br />
|-<br />
| 11-12|| ||Benedek 531, Scott 276 || || Benedek 531, Scott 276 || <br />
|-<br />
| 12-1||Scott 276 || || Scott 276 || ||<br />
|-<br />
| 1-2|||| Timo 734 Jun 632, Phil 431|| || Benedek OH <br>Timo 734 Jun 632, Phil 431||<br />
|-<br />
| 2-3|| || reading seminar (2:25pm) || || probability seminar (2:25pm) ||<br />
|-<br />
| 3-4|| || Benedek OH (3:30 pm) || || ||<br />
|-<br />
| 4-5|| || || || || Colloquium<br />
|-<br />
| 5-6|| || || || ||<br />
|}</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Undergraduate_courses_in_probability&diff=8097Undergraduate courses in probability2014-08-28T17:02:41Z<p>Anderson: </p>
<hr />
<div>[https://www.math.wisc.edu/431-introduction-theory-probability '''431 - Introduction to the theory of probability''']<br />
<br />
Math 431 is an introduction to probability theory, the part of mathematics that studies random phenomena. We model simple random experiments mathematically and learn techniques for studying these models. Topics covered include methods of counting (combinatorics), axioms of probability, random variables, the most important discrete and continuous probability distributions, expectations, moment generating functions, conditional probability and conditional expectations, multivariate distributions, Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem.<br />
<br />
Probability theory is ubiquitous in natural science, social science and engineering, so this course can be valuable in conjunction with many different majors. 431 is not a course in statistics. Statistics is a discipline mainly concerned with analyzing and representing data. Probability theory forms the mathematical foundation of statistics, but the two disciplines are separate.<br />
<br />
The course is offered every semester, including the summer. <br />
<br />
''Prerequisite'': Math 234. <br />
<br />
<span style="color:#0000FF"> '''Who should take this class?'''</span> A well rounded undergraduate experience in math should include some probability theory. Math 431 is our introductory probability class with no high level prerequisites. <br />
<br />
<br />
<br />
'''531 - Probability theory'''<br />
<br />
The course is a rigorous introduction to probability theory on an advanced undergraduate level. Only a minimal amount of measure theory is used (in particular, Lebesgue integrals will not be needed). The course gives an introduction to the basics (Kolmogorov axioms, conditional probability and independence, random variables, expectation) and discusses some of the classical results of probability theory with proofs (DeMoivre-Laplace limit theorems, the study of simple random walk on Z, applications of generating functions).<br />
<br />
This course is currently in development. The pilot version of the course will run in the Spring 2015 semester as [https://www.math.wisc.edu/491a-topics-probability-theory 491a - Topics : Probability Theory]. <br />
<br />
''Prerequisite'': a proof based analysis course (Math 375, Math 421 or Math 521). <br />
<br />
<span style="color:#0000FF"> '''Who should take this class?'''</span> Students who would like to get a rigorous introduction to probability. It could also provide a stepping stone for our 600 level stochastic processes courses. (The course can be taken even after taking Math 431.)<br />
<br />
<br />
<br />
[http://www.math.wisc.edu/math-605stochastic-methods-biology '''605 - Stochastic methods in biology''']<br />
<br />
Math 605 provides an introduction to stochastic processes. It introduces both discrete and continuous time Markov chains, and some aspects of renewal theory. The course focuses on biological applications of these mathematical models including: the Wright-Fischer model, birth and death processes, branching processes, and many models from intracellular biochemistry. This course is similar to Math 632 in content. However, unlike in Math 632, simulation plays a vital role in the study of the requisite processes in Math 605, with Matlab the software package of choice. <br />
<br />
The course is offered every two years in the fall semester. <br />
<br />
''Prerequisite'': Math 431, a basic knowledge of linear algebra and linear differential equations (e.g. Math 319, Math 340, Math 341)<br />
<br />
<span style="color:#0000FF"> '''Who should take this class?'''</span> Anybody who is interested in stochastic processes and would like to learn more about applications in the biosciences, and especially intracellular biochemical processes.<br />
<br />
<br />
[https://www.math.wisc.edu/632-introduction-stochastic-processes '''632 - Introduction to stochastic processes''']<br />
<br />
Math 632 gives an introduction to Markov chains and Markov processes with discrete state spaces and their applications. Particular models studied include birth-death chains, queuing models, random walks and branching processes. Selected topics from renewal theory, martingales, and Brownian motion are also included, but vary from semester to semester to meet the needs of different audiences. <br />
<br />
''Prerequisite'': Math 431, a high level math course (e.g. Math 521)<br />
<br />
<span style="color:#0000FF"> '''Who should take this class?'''</span> Math 632 is the natural next step after an introductory probability course. It could be useful for an Option 1 math major interested in higher level probability and it is also a great fit for many of our [https://www.math.wisc.edu/undergraduate/option-2-sample-packages Option 2 packages]. <br />
<br />
<br />
<br />
[https://www.math.wisc.edu/635-introduction-brownian-motion-and-stochastic-calculus '''635 - Introduction to Brownian motion and stochastic calculus''']<br />
<br />
Math 635 is an introduction to Brownian motion and stochastic calculus without a measure theory prerequisite. Topics touched upon include sample path properties of Brownian motion, Itô stochastic integrals, Itô's formula, stochastic differential equations and their solutions. As an application we will discuss the Black-Scholes formula of mathematical finance.<br />
<br />
The course is offered every two years in the spring semester. <br />
<br />
''Prerequisite'': Math 521 and Math 632<br />
<br />
<span style="color:#0000FF"> '''Who should take this class?'''</span> Anybody with an interest in higher level probability. It is especially useful for those who are planning to study financial math on a graduate level. <br />
<br />
<br />
[[File:Probability_courses_1.jpg|600px]]</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Undergraduate_courses_in_probability&diff=8096Undergraduate courses in probability2014-08-28T17:02:06Z<p>Anderson: </p>
<hr />
<div>[https://www.math.wisc.edu/431-introduction-theory-probability '''431 - Introduction to the theory of probability''']<br />
<br />
Math 431 is an introduction to probability theory, the part of mathematics that studies random phenomena. We model simple random experiments mathematically and learn techniques for studying these models. Topics covered include methods of counting (combinatorics), axioms of probability, random variables, the most important discrete and continuous probability distributions, expectations, moment generating functions, conditional probability and conditional expectations, multivariate distributions, Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem.<br />
<br />
Probability theory is ubiquitous in natural science, social science and engineering, so this course can be valuable in conjunction with many different majors. 431 is not a course in statistics. Statistics is a discipline mainly concerned with analyzing and representing data. Probability theory forms the mathematical foundation of statistics, but the two disciplines are separate.<br />
<br />
The course is offered every semester, including the summer. <br />
<br />
''Prerequisite'': Math 234. <br />
<br />
<span style="color:#0000FF"> '''Who should take this class?'''</span> A well rounded undergraduate experience in math should include some probability theory. Math 431 is our introductory probability class with no high level prerequisites. <br />
<br />
<br />
<br />
'''531 - Probability theory'''<br />
<br />
The course is a rigorous introduction to probability theory on an advanced undergraduate level. Only a minimal amount of measure theory is used (in particular, Lebesgue integrals will not be needed). The course gives an introduction to the basics (Kolmogorov axioms, conditional probability and independence, random variables, expectation) and discusses some of the classical results of probability theory with proofs (DeMoivre-Laplace limit theorems, the study of simple random walk on Z, applications of generating functions).<br />
<br />
This course is currently in development. The pilot version of the course will run in the Spring 2015 semester as [https://www.math.wisc.edu/491a-topics-probability-theory 491a - Topics : Probability Theory]. <br />
<br />
''Prerequisite'': a proof based analysis course (Math 375, Math 421 or Math 521). <br />
<br />
<span style="color:#0000FF"> '''Who should take this class?'''</span> Students who would like to get a rigorous introduction to probability. It could also provide a stepping stone for our 600 level stochastic processes courses. (The course can be taken even after taking Math 431.)<br />
<br />
<br />
<br />
[http://www.math.wisc.edu/math-605stochastic-methods-biology '''605 - Stochastic methods in biology''']<br />
<br />
Math 605 provides an introduction to stochastic processes. It introduces both discrete and continuous time Markov chains, and some aspects of renewal theory. The course focuses on biological applications of these mathematical models including: the Wright-Fischer model, birth and death processes, branching processes, and many models from intracellular biochemistry. This course is similar to Math 632 in content. However, unlike Math 632 simulation plays a vital role in the study of the requisite processes in Math 605, with Matlab the software package of choice. <br />
<br />
The course is offered every two years in the fall semester. <br />
<br />
''Prerequisite'': Math 431, a basic knowledge of linear algebra and linear differential equations (e.g. Math 319, Math 340, Math 341)<br />
<br />
<span style="color:#0000FF"> '''Who should take this class?'''</span> Anybody who is interested in stochastic processes and would like to learn more about applications in the biosciences, and especially intracellular biochemical processes.<br />
<br />
<br />
[https://www.math.wisc.edu/632-introduction-stochastic-processes '''632 - Introduction to stochastic processes''']<br />
<br />
Math 632 gives an introduction to Markov chains and Markov processes with discrete state spaces and their applications. Particular models studied include birth-death chains, queuing models, random walks and branching processes. Selected topics from renewal theory, martingales, and Brownian motion are also included, but vary from semester to semester to meet the needs of different audiences. <br />
<br />
''Prerequisite'': Math 431, a high level math course (e.g. Math 521)<br />
<br />
<span style="color:#0000FF"> '''Who should take this class?'''</span> Math 632 is the natural next step after an introductory probability course. It could be useful for an Option 1 math major interested in higher level probability and it is also a great fit for many of our [https://www.math.wisc.edu/undergraduate/option-2-sample-packages Option 2 packages]. <br />
<br />
<br />
<br />
[https://www.math.wisc.edu/635-introduction-brownian-motion-and-stochastic-calculus '''635 - Introduction to Brownian motion and stochastic calculus''']<br />
<br />
Math 635 is an introduction to Brownian motion and stochastic calculus without a measure theory prerequisite. Topics touched upon include sample path properties of Brownian motion, Itô stochastic integrals, Itô's formula, stochastic differential equations and their solutions. As an application we will discuss the Black-Scholes formula of mathematical finance.<br />
<br />
The course is offered every two years in the spring semester. <br />
<br />
''Prerequisite'': Math 521 and Math 632<br />
<br />
<span style="color:#0000FF"> '''Who should take this class?'''</span> Anybody with an interest in higher level probability. It is especially useful for those who are planning to study financial math on a graduate level. <br />
<br />
<br />
[[File:Probability_courses_1.jpg|600px]]</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Applied&diff=6629Applied2014-02-12T10:42:19Z<p>Anderson: /* News and opportunities */</p>
<hr />
<div>__NOTOC__<br />
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]<br />
<br />
__NOTOC__<br />
[[Image:HMSS2013_highlight1.png|link=http://dx.doi.org/10.1017/jfm.2012.597|frame]]<br />
[[Image:HMSS2013_highlight2.png|link=http://www.math.wisc.edu/~stechmann/research/|frame|scattered rain clouds versus an organized storm (a squall line)]] <!-- Added by stechmann 2013-02-03 --><br />
<br />
= '''Applied Mathematics at UW-Madison''' =<br />
<br />
Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.<br />
<br />
<br><br />
<br />
== News and opportunities ==<br />
<br />
* '''Masanori Koyama''' (Ph.D. student of David Anderson) graduated in Fall 2014. He began a postdoc at the Department of Systems Science, Kyoto University starting in January 2014. <!-- Added by Anderson 2014-02-10 --><br />
<br />
* '''Leland Jefferis''' (Ph.D. student of Shi Jin) was awarded an NSF Postdoctoral Fellowship and will be a postdoc at Department of Mathematics, Stanford University starting in Fall 2014. <!-- Added by jeanluc 2014-02-01 --><br />
<br />
* '''Qin Li''' (student of Shi Jin) graduated in Summer 2013. She was awarded an ''Excellence in Research'' award by the math department and has accepted a von Karman Instructor position at Caltech. <!-- Added by jeanluc 2013-06-11 --><br />
<br />
* '''Shi Jin''' was elected to [http://fellows.siam.org/index.php?sort=year&value=2013 SIAM Fellow]. Last year he was part of the inaugural class of [http://www.ams.org/profession/fellows-list AMS Fellows]. <!-- Added by jeanluc 2013-06-11 --><br />
<br />
<br><br />
<br />
== Seminars ==<br />
<br />
''organized by Applied Math''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS Graduate Applied Math Seminar] (Mondays at 3:40pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/Physical_Applied_Math Physical Applied Math] Group Meeting (Spagnolie/Thiffeault) (Thursdays at 4:00pm, VV 901)<br />
<!-- * Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811) --><br />
<br />
<br />
''other seminar series of interest''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Probability_Seminar Probability Seminar] (Thursdays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Colloquia Mathematics Colloquium] (Fridays at 4:00pm, VV B239)<br />
* [http://silo.ece.wisc.edu/web/content/seminars SILO Seminar] (Wednesdays at 12:30pm, 3rd floor WID)<br />
* [http://www.cs.wisc.edu/category/event-types/wid-dow-presentation-series WID-DOW Seminar] (Mondays at 4:00pm, 3rd floor WID)<br />
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)<br />
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)<br />
* [http://www.aos.wisc.edu/calendar/colloquium.htm AOS Colloquium] (Mondays at 3:30 pm; 811 AOSS building)<br />
<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, biochemical networks, mathematical/systems biology.<br />
<br />
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. <br />
<br />
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.<br />
<br />
[http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis<br />
and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.<br />
<br />
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.<br />
<br />
[http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology.<br />
<br />
[http://www.math.wisc.edu/~roch/ S&eacute;bastien Roch:] (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.<br />
<br />
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. <br />
<br />
[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
<br />
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.<br />
<br />
[http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials<br />
<br />
<br><br />
<br />
== Postdoctoral fellows and researchers ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/30-majid-arabgol Majid Arabgol:]<br />
HPC & Visualization Research Scholar<br />
<br />
[http://www.math.wisc.edu/~boonkasa Anakewit (Tete) Boonkasame:] (UW Madison, 2012)<br />
<br />
[http://mbudisic.wordpress.com Marko Budi&#x161;i&#x107;:] (UC Santa Barbara, 2012) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)<br />
<br />
[http://www.math.wisc.edu/~sqchen/ Shengqian "Chessy" Chen:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~hernande Gerardo Hernandez-Duenas:] (Michigan, 2011) geophysical fluid dynamics<br />
<br />
[http://www.math.wisc.edu/~shottovy/ Scott Hottovy:] (Arizona, 2013) probability, stochastic processes, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]<br />
(University of Waterloo, 2011) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~ogrosky/ Reed Ogrosky:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. --><br />
<br />
<br><br />
<br />
== Current Graduate Students ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/23-adel-ardalan Adel Ardalan:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/24-hamisha-ardalani Hamisha Ardalani:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~crompton/ Bryan Crompton:] Student of Saverio Spagnolie.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/26-alireza-fotuhi-siahpirani Alireza Fotuhi:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jhao8/ Jing Hao:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/27-mohammad-khabazian Mohammad Khabbazian:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~leili/ Lei Li:] Student of Saverio Spagnolie.<br />
<br />
Liu Liu: Student of Shi Jin<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/32-hasti-mirkia Hasti Mirkia:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~whmitchell/ Will Mitchell:] Student of Saverio Spagnolie.<br />
<br />
[http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~nan/ Ting-Ting Nan:] Student of Nigel Boston.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/28-arash-sangari Arash Sangari:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/29-ebru-selin-selen Ebru Selin Selen:] Student of Amir Assadi.<br />
<br />
Yun Sun: Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~wen/ Huanyu Wen:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~skubak/ Elizabeth Skubak Wolf:] Student of David Anderson.<br />
<br />
Qian You: Student of Sigurd Angenent.<br />
<br />
[http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.<br />
<br />
<!-- Past students: --><br />
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. --><br />
<!--Zhan Wang: Student of Paul Milewski.--><br />
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.--><br />
<!--Peng Qi: Student of Shi Jin. --><br />
<!--Li (Aug) Wang: Student of Shi Jin. --><br />
<!--Li Wang: Student of Leslie Smith. --><br />
<!--David Seal: Student of James Rossmanith. --><br />
<!--E. Alec Johnson: Student of James Rossmanith. --><br />
<!--Hesam Dashti: MSc Student of Amir Assadi.--><br />
<!--Qiang Deng: Student of Leslie Smith.--><br />
<!--[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.--><br />
<!--[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.--><br />
<!--Yongtao Cheng: Student of James Rossmanith.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault. --><br />
<br />
<br><br />
<br />
== Graduate course offerings ==<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===<br />
<br />
* Math 605: Stochastic Methods for Biology (David Anderson)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 826: Advanced Topics in Functional Analysis and Differential Equations (Alexander Kiselev)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2014] ===<br />
<br />
<br />
* Math 609: Mathematical Methods for Systems Biology (Gheorghe Craciun)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Jean-Luc Thiffeault)<br />
* Math 801: Topics in Applied Mathematics: Biological Continuum Mechanics (Saverio Spagnolie)<br />
<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (David Anderson)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 833: Topics in Probability - Stochastic Processes in Evolution and Genetics (Sebastien Roch)<br />
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2013] ===<br />
<br />
* Math 704: Methods of Applied Mathematics 2 (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean-Luc Thiffeault) --><br />
<br />
<!-- === Spring 2012 ===<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann) --><br />
<br />
<br />
<!--<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2011] ===<br />
<br />
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)<br />
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)<br />
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)<br />
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)<br />
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)<br />
--><br />
<br />
<!--<br />
Spring 2011:<br />
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)<br />
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)<br />
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)<br />
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)<br />
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)<br />
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]<br />
<br />
[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps])</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Applied&diff=6628Applied2014-02-12T10:41:38Z<p>Anderson: /* News and opportunities */</p>
<hr />
<div>__NOTOC__<br />
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]<br />
<br />
__NOTOC__<br />
[[Image:HMSS2013_highlight1.png|link=http://dx.doi.org/10.1017/jfm.2012.597|frame]]<br />
[[Image:HMSS2013_highlight2.png|link=http://www.math.wisc.edu/~stechmann/research/|frame|scattered rain clouds versus an organized storm (a squall line)]] <!-- Added by stechmann 2013-02-03 --><br />
<br />
= '''Applied Mathematics at UW-Madison''' =<br />
<br />
Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.<br />
<br />
<br><br />
<br />
== News and opportunities ==<br />
<br />
* '''Masanori Koyama''' (Ph.D. student of David Anderson) graduated in Fall 2014. He began a postdoc at the Department of Systems Science, Kyoto University starting in January 2014. <!-- Added by Anderson 2014-02-09 --><br />
<br />
* '''Leland Jefferis''' (Ph.D. student of Shi Jin) was awarded an NSF Postdoctoral Fellowship and will be a postdoc at Department of Mathematics, Stanford University starting in Fall 2014. <!-- Added by jeanluc 2014-02-01 --><br />
<br />
* '''Qin Li''' (student of Shi Jin) graduated in Summer 2013. She was awarded an ''Excellence in Research'' award by the math department and has accepted a von Karman Instructor position at Caltech. <!-- Added by jeanluc 2013-06-11 --><br />
<br />
* '''Shi Jin''' was elected to [http://fellows.siam.org/index.php?sort=year&value=2013 SIAM Fellow]. Last year he was part of the inaugural class of [http://www.ams.org/profession/fellows-list AMS Fellows]. <!-- Added by jeanluc 2013-06-11 --><br />
<br />
<br><br />
<br />
== Seminars ==<br />
<br />
''organized by Applied Math''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS Graduate Applied Math Seminar] (Mondays at 3:40pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/Physical_Applied_Math Physical Applied Math] Group Meeting (Spagnolie/Thiffeault) (Thursdays at 4:00pm, VV 901)<br />
<!-- * Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811) --><br />
<br />
<br />
''other seminar series of interest''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Probability_Seminar Probability Seminar] (Thursdays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Colloquia Mathematics Colloquium] (Fridays at 4:00pm, VV B239)<br />
* [http://silo.ece.wisc.edu/web/content/seminars SILO Seminar] (Wednesdays at 12:30pm, 3rd floor WID)<br />
* [http://www.cs.wisc.edu/category/event-types/wid-dow-presentation-series WID-DOW Seminar] (Mondays at 4:00pm, 3rd floor WID)<br />
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)<br />
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)<br />
* [http://www.aos.wisc.edu/calendar/colloquium.htm AOS Colloquium] (Mondays at 3:30 pm; 811 AOSS building)<br />
<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, biochemical networks, mathematical/systems biology.<br />
<br />
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. <br />
<br />
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.<br />
<br />
[http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis<br />
and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.<br />
<br />
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.<br />
<br />
[http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology.<br />
<br />
[http://www.math.wisc.edu/~roch/ S&eacute;bastien Roch:] (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.<br />
<br />
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. <br />
<br />
[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
<br />
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.<br />
<br />
[http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials<br />
<br />
<br><br />
<br />
== Postdoctoral fellows and researchers ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/30-majid-arabgol Majid Arabgol:]<br />
HPC & Visualization Research Scholar<br />
<br />
[http://www.math.wisc.edu/~boonkasa Anakewit (Tete) Boonkasame:] (UW Madison, 2012)<br />
<br />
[http://mbudisic.wordpress.com Marko Budi&#x161;i&#x107;:] (UC Santa Barbara, 2012) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)<br />
<br />
[http://www.math.wisc.edu/~sqchen/ Shengqian "Chessy" Chen:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~hernande Gerardo Hernandez-Duenas:] (Michigan, 2011) geophysical fluid dynamics<br />
<br />
[http://www.math.wisc.edu/~shottovy/ Scott Hottovy:] (Arizona, 2013) probability, stochastic processes, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]<br />
(University of Waterloo, 2011) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~ogrosky/ Reed Ogrosky:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. --><br />
<br />
<br><br />
<br />
== Current Graduate Students ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/23-adel-ardalan Adel Ardalan:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/24-hamisha-ardalani Hamisha Ardalani:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~crompton/ Bryan Crompton:] Student of Saverio Spagnolie.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/26-alireza-fotuhi-siahpirani Alireza Fotuhi:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jhao8/ Jing Hao:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/27-mohammad-khabazian Mohammad Khabbazian:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~leili/ Lei Li:] Student of Saverio Spagnolie.<br />
<br />
Liu Liu: Student of Shi Jin<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/32-hasti-mirkia Hasti Mirkia:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~whmitchell/ Will Mitchell:] Student of Saverio Spagnolie.<br />
<br />
[http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~nan/ Ting-Ting Nan:] Student of Nigel Boston.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/28-arash-sangari Arash Sangari:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/29-ebru-selin-selen Ebru Selin Selen:] Student of Amir Assadi.<br />
<br />
Yun Sun: Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~wen/ Huanyu Wen:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~skubak/ Elizabeth Skubak Wolf:] Student of David Anderson.<br />
<br />
Qian You: Student of Sigurd Angenent.<br />
<br />
[http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.<br />
<br />
<!-- Past students: --><br />
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. --><br />
<!--Zhan Wang: Student of Paul Milewski.--><br />
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.--><br />
<!--Peng Qi: Student of Shi Jin. --><br />
<!--Li (Aug) Wang: Student of Shi Jin. --><br />
<!--Li Wang: Student of Leslie Smith. --><br />
<!--David Seal: Student of James Rossmanith. --><br />
<!--E. Alec Johnson: Student of James Rossmanith. --><br />
<!--Hesam Dashti: MSc Student of Amir Assadi.--><br />
<!--Qiang Deng: Student of Leslie Smith.--><br />
<!--[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.--><br />
<!--[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.--><br />
<!--Yongtao Cheng: Student of James Rossmanith.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault. --><br />
<br />
<br><br />
<br />
== Graduate course offerings ==<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===<br />
<br />
* Math 605: Stochastic Methods for Biology (David Anderson)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 826: Advanced Topics in Functional Analysis and Differential Equations (Alexander Kiselev)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2014] ===<br />
<br />
<br />
* Math 609: Mathematical Methods for Systems Biology (Gheorghe Craciun)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Jean-Luc Thiffeault)<br />
* Math 801: Topics in Applied Mathematics: Biological Continuum Mechanics (Saverio Spagnolie)<br />
<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (David Anderson)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 833: Topics in Probability - Stochastic Processes in Evolution and Genetics (Sebastien Roch)<br />
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2013] ===<br />
<br />
* Math 704: Methods of Applied Mathematics 2 (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean-Luc Thiffeault) --><br />
<br />
<!-- === Spring 2012 ===<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann) --><br />
<br />
<br />
<!--<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2011] ===<br />
<br />
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)<br />
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)<br />
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)<br />
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)<br />
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)<br />
--><br />
<br />
<!--<br />
Spring 2011:<br />
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)<br />
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)<br />
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)<br />
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)<br />
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)<br />
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]<br />
<br />
[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps])</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Applied&diff=6613Applied2014-02-10T04:39:41Z<p>Anderson: /* Seminars */</p>
<hr />
<div>__NOTOC__<br />
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]<br />
<br />
__NOTOC__<br />
[[Image:HMSS2013_highlight1.png|link=http://dx.doi.org/10.1017/jfm.2012.597|frame]]<br />
[[Image:HMSS2013_highlight2.png|link=http://www.math.wisc.edu/~stechmann/research/|frame|scattered rain clouds versus an organized storm (a squall line)]] <!-- Added by stechmann 2013-02-03 --><br />
<br />
= '''Applied Mathematics at UW-Madison''' =<br />
<br />
Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.<br />
<br />
<br><br />
<br />
== News and opportunities ==<br />
<br />
* '''Masanori Koyama''' (Ph.D. student of David Anderson) will begin a postdoc at Kyoto University starting in January 2014. <!-- Added by Anderson 2014-02-09 --><br />
<br />
* '''Leland Jefferis''' (Ph.D. student of Shi Jin) was awarded an NSF Postdoctoral Fellowship and will be a postdoc at Department of Mathematics, Stanford University starting in Fall 2014. <!-- Added by jeanluc 2014-02-01 --><br />
<br />
* '''Qin Li''' (student of Shi Jin) graduated in Summer 2013. She was awarded an ''Excellence in Research'' award by the math department and has accepted a von Karman Instructor position at Caltech. <!-- Added by jeanluc 2013-06-11 --><br />
<br />
* '''Shi Jin''' was elected to [http://fellows.siam.org/index.php?sort=year&value=2013 SIAM Fellow]. Last year he was part of the inaugural class of [http://www.ams.org/profession/fellows-list AMS Fellows]. <!-- Added by jeanluc 2013-06-11 --><br />
<br />
<br><br />
<br />
== Seminars ==<br />
<br />
''organized by Applied Math''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS Graduate Applied Math Seminar] (Mondays at 3:40pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/Physical_Applied_Math Physical Applied Math] Group Meeting (Spagnolie/Thiffeault) (Thursdays at 4:00pm, VV 901)<br />
<!-- * Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811) --><br />
<br />
<br />
''other seminar series of interest''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Probability_Seminar Probability Seminar] (Thursdays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Colloquia Mathematics Colloquium] (Fridays at 4:00pm, VV B239)<br />
* [http://silo.ece.wisc.edu/web/content/seminars SILO Seminar] (Wednesdays at 12:30pm, 3rd floor WID)<br />
* [http://www.cs.wisc.edu/category/event-types/wid-dow-presentation-series WID-DOW Seminar] (Mondays at 4:00pm, 3rd floor WID)<br />
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)<br />
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)<br />
* [http://www.aos.wisc.edu/calendar/colloquium.htm AOS Colloquium] (Mondays at 3:30 pm; 811 AOSS building)<br />
<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, biochemical networks, mathematical/systems biology.<br />
<br />
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. <br />
<br />
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.<br />
<br />
[http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis<br />
and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.<br />
<br />
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.<br />
<br />
[http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology.<br />
<br />
[http://www.math.wisc.edu/~roch/ S&eacute;bastien Roch:] (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.<br />
<br />
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. <br />
<br />
[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
<br />
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.<br />
<br />
[http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials<br />
<br />
<br><br />
<br />
== Postdoctoral fellows and researchers ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/30-majid-arabgol Majid Arabgol:]<br />
HPC & Visualization Research Scholar<br />
<br />
[http://www.math.wisc.edu/~boonkasa Anakewit (Tete) Boonkasame:] (UW Madison, 2012)<br />
<br />
[http://mbudisic.wordpress.com Marko Budi&#x161;i&#x107;:] (UC Santa Barbara, 2012) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)<br />
<br />
[http://www.math.wisc.edu/~sqchen/ Shengqian "Chessy" Chen:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~hernande Gerardo Hernandez-Duenas:] (Michigan, 2011) geophysical fluid dynamics<br />
<br />
[http://www.math.wisc.edu/~shottovy/ Scott Hottovy:] (Arizona, 2013) probability, stochastic processes, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]<br />
(University of Waterloo, 2011) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~ogrosky/ Reed Ogrosky:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. --><br />
<br />
<br><br />
<br />
== Current Graduate Students ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/23-adel-ardalan Adel Ardalan:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/24-hamisha-ardalani Hamisha Ardalani:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~crompton/ Bryan Crompton:] Student of Saverio Spagnolie.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/26-alireza-fotuhi-siahpirani Alireza Fotuhi:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jhao8/ Jing Hao:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/27-mohammad-khabazian Mohammad Khabbazian:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~leili/ Lei Li:] Student of Saverio Spagnolie.<br />
<br />
Liu Liu: Student of Shi Jin<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/32-hasti-mirkia Hasti Mirkia:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~whmitchell/ Will Mitchell:] Student of Saverio Spagnolie.<br />
<br />
[http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~nan/ Ting-Ting Nan:] Student of Nigel Boston.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/28-arash-sangari Arash Sangari:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/29-ebru-selin-selen Ebru Selin Selen:] Student of Amir Assadi.<br />
<br />
Yun Sun: Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~wen/ Huanyu Wen:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~skubak/ Elizabeth Skubak Wolf:] Student of David Anderson.<br />
<br />
Qian You: Student of Sigurd Angenent.<br />
<br />
[http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.<br />
<br />
<!-- Past students: --><br />
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. --><br />
<!--Zhan Wang: Student of Paul Milewski.--><br />
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.--><br />
<!--Peng Qi: Student of Shi Jin. --><br />
<!--Li (Aug) Wang: Student of Shi Jin. --><br />
<!--Li Wang: Student of Leslie Smith. --><br />
<!--David Seal: Student of James Rossmanith. --><br />
<!--E. Alec Johnson: Student of James Rossmanith. --><br />
<!--Hesam Dashti: MSc Student of Amir Assadi.--><br />
<!--Qiang Deng: Student of Leslie Smith.--><br />
<!--[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.--><br />
<!--[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.--><br />
<!--Yongtao Cheng: Student of James Rossmanith.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault. --><br />
<br />
<br><br />
<br />
== Graduate course offerings ==<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===<br />
<br />
* Math 605: Stochastic Methods for Biology (David Anderson)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 826: Advanced Topics in Functional Analysis and Differential Equations (Alexander Kiselev)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2014] ===<br />
<br />
<br />
* Math 609: Mathematical Methods for Systems Biology (Gheorghe Craciun)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Jean-Luc Thiffeault)<br />
* Math 801: Topics in Applied Mathematics: Biological Continuum Mechanics (Saverio Spagnolie)<br />
<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (David Anderson)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 833: Topics in Probability - Stochastic Processes in Evolution and Genetics (Sebastien Roch)<br />
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2013] ===<br />
<br />
* Math 704: Methods of Applied Mathematics 2 (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean-Luc Thiffeault) --><br />
<br />
<!-- === Spring 2012 ===<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann) --><br />
<br />
<br />
<!--<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2011] ===<br />
<br />
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)<br />
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)<br />
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)<br />
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)<br />
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)<br />
--><br />
<br />
<!--<br />
Spring 2011:<br />
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)<br />
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)<br />
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)<br />
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)<br />
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)<br />
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]<br />
<br />
[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps])</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Applied&diff=6612Applied2014-02-10T04:33:32Z<p>Anderson: /* News and opportunities */</p>
<hr />
<div>__NOTOC__<br />
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]<br />
<br />
__NOTOC__<br />
[[Image:HMSS2013_highlight1.png|link=http://dx.doi.org/10.1017/jfm.2012.597|frame]]<br />
[[Image:HMSS2013_highlight2.png|link=http://www.math.wisc.edu/~stechmann/research/|frame|scattered rain clouds versus an organized storm (a squall line)]] <!-- Added by stechmann 2013-02-03 --><br />
<br />
= '''Applied Mathematics at UW-Madison''' =<br />
<br />
Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.<br />
<br />
<br><br />
<br />
== News and opportunities ==<br />
<br />
* '''Masanori Koyama''' (Ph.D. student of David Anderson) will begin a postdoc at Kyoto University starting in January 2014. <!-- Added by Anderson 2014-02-09 --><br />
<br />
* '''Leland Jefferis''' (Ph.D. student of Shi Jin) was awarded an NSF Postdoctoral Fellowship and will be a postdoc at Department of Mathematics, Stanford University starting in Fall 2014. <!-- Added by jeanluc 2014-02-01 --><br />
<br />
* '''Qin Li''' (student of Shi Jin) graduated in Summer 2013. She was awarded an ''Excellence in Research'' award by the math department and has accepted a von Karman Instructor position at Caltech. <!-- Added by jeanluc 2013-06-11 --><br />
<br />
* '''Shi Jin''' was elected to [http://fellows.siam.org/index.php?sort=year&value=2013 SIAM Fellow]. Last year he was part of the inaugural class of [http://www.ams.org/profession/fellows-list AMS Fellows]. <!-- Added by jeanluc 2013-06-11 --><br />
<br />
<br><br />
<br />
== Seminars ==<br />
<br />
''organized by Applied Math''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS Graduate Applied Math Seminar] (Mondays at 3:40pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/Physical_Applied_Math Physical Applied Math] Group Meeting (Spagnolie/Thiffeault) (Thursdays at 4:00pm, VV 901)<br />
<!-- * Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811) --><br />
<br />
<br />
''other seminar series of interest''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Colloquia Mathematics Colloquium] (Fridays at 4:00pm, VV B239)<br />
* [http://silo.ece.wisc.edu/web/content/seminars SILO Seminar] (Wednesdays at 12:30pm, 3rd floor WID)<br />
* [http://www.cs.wisc.edu/category/event-types/wid-dow-presentation-series WID-DOW Seminar] (Mondays at 4:00pm, 3rd floor WID)<br />
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)<br />
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)<br />
* [http://www.aos.wisc.edu/calendar/colloquium.htm AOS Colloquium] (Mondays at 3:30 pm; 811 AOSS building)<br />
<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, biochemical networks, mathematical/systems biology.<br />
<br />
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. <br />
<br />
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.<br />
<br />
[http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis<br />
and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.<br />
<br />
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.<br />
<br />
[http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology.<br />
<br />
[http://www.math.wisc.edu/~roch/ S&eacute;bastien Roch:] (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.<br />
<br />
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. <br />
<br />
[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
<br />
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.<br />
<br />
[http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials<br />
<br />
<br><br />
<br />
== Postdoctoral fellows and researchers ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/30-majid-arabgol Majid Arabgol:]<br />
HPC & Visualization Research Scholar<br />
<br />
[http://www.math.wisc.edu/~boonkasa Anakewit (Tete) Boonkasame:] (UW Madison, 2012)<br />
<br />
[http://mbudisic.wordpress.com Marko Budi&#x161;i&#x107;:] (UC Santa Barbara, 2012) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)<br />
<br />
[http://www.math.wisc.edu/~sqchen/ Shengqian "Chessy" Chen:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~hernande Gerardo Hernandez-Duenas:] (Michigan, 2011) geophysical fluid dynamics<br />
<br />
[http://www.math.wisc.edu/~shottovy/ Scott Hottovy:] (Arizona, 2013) probability, stochastic processes, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]<br />
(University of Waterloo, 2011) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~ogrosky/ Reed Ogrosky:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. --><br />
<br />
<br><br />
<br />
== Current Graduate Students ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/23-adel-ardalan Adel Ardalan:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/24-hamisha-ardalani Hamisha Ardalani:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~crompton/ Bryan Crompton:] Student of Saverio Spagnolie.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/26-alireza-fotuhi-siahpirani Alireza Fotuhi:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jhao8/ Jing Hao:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/27-mohammad-khabazian Mohammad Khabbazian:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~leili/ Lei Li:] Student of Saverio Spagnolie.<br />
<br />
Liu Liu: Student of Shi Jin<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/32-hasti-mirkia Hasti Mirkia:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~whmitchell/ Will Mitchell:] Student of Saverio Spagnolie.<br />
<br />
[http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~nan/ Ting-Ting Nan:] Student of Nigel Boston.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/28-arash-sangari Arash Sangari:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/29-ebru-selin-selen Ebru Selin Selen:] Student of Amir Assadi.<br />
<br />
Yun Sun: Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~wen/ Huanyu Wen:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~skubak/ Elizabeth Skubak Wolf:] Student of David Anderson.<br />
<br />
Qian You: Student of Sigurd Angenent.<br />
<br />
[http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.<br />
<br />
<!-- Past students: --><br />
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. --><br />
<!--Zhan Wang: Student of Paul Milewski.--><br />
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.--><br />
<!--Peng Qi: Student of Shi Jin. --><br />
<!--Li (Aug) Wang: Student of Shi Jin. --><br />
<!--Li Wang: Student of Leslie Smith. --><br />
<!--David Seal: Student of James Rossmanith. --><br />
<!--E. Alec Johnson: Student of James Rossmanith. --><br />
<!--Hesam Dashti: MSc Student of Amir Assadi.--><br />
<!--Qiang Deng: Student of Leslie Smith.--><br />
<!--[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.--><br />
<!--[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.--><br />
<!--Yongtao Cheng: Student of James Rossmanith.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault. --><br />
<br />
<br><br />
<br />
== Graduate course offerings ==<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===<br />
<br />
* Math 605: Stochastic Methods for Biology (David Anderson)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 826: Advanced Topics in Functional Analysis and Differential Equations (Alexander Kiselev)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2014] ===<br />
<br />
<br />
* Math 609: Mathematical Methods for Systems Biology (Gheorghe Craciun)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Jean-Luc Thiffeault)<br />
* Math 801: Topics in Applied Mathematics: Biological Continuum Mechanics (Saverio Spagnolie)<br />
<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (David Anderson)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 833: Topics in Probability - Stochastic Processes in Evolution and Genetics (Sebastien Roch)<br />
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2013] ===<br />
<br />
* Math 704: Methods of Applied Mathematics 2 (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean-Luc Thiffeault) --><br />
<br />
<!-- === Spring 2012 ===<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann) --><br />
<br />
<br />
<!--<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2011] ===<br />
<br />
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)<br />
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)<br />
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)<br />
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)<br />
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)<br />
--><br />
<br />
<!--<br />
Spring 2011:<br />
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)<br />
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)<br />
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)<br />
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)<br />
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)<br />
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]<br />
<br />
[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps])</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_group_timetable&diff=6482Probability group timetable2014-01-28T21:53:39Z<p>Anderson: </p>
<hr />
<div>{| border="2"<br />
| ||Monday||Tuesday||Wednesday||Thursday||Friday<br />
|-<br />
| 9-10|| || Benedek OH, Greg OH (9:30-10:30)|| || || <br />
|-<br />
| 10-11|| Dave 431 (9:55) || || Greg OH (10), Dave 431 (9:55) || || Dave 431 (9:55) <br />
|-<br />
| 11-12|| DAVE OH (10:50) ||Benedek 833, Greg 632 (11), Chris 833 || Greg OH || Benedek 833, Greg 632 (11), Chris 833 ||<br />
|-<br />
| 12-1|| || || Chris IEP || ||<br />
|-<br />
| 1-2|| Timo 635 , Dave 431 (1:20pm) || Benedek 734, Greg 431 (11), Phil 632 || Timo 635 , Dave 431 (1:20pm) || Benedek 734, Greg 431 (11), Phil 632 || Timo 635 , Dave 431 (1:20pm) <br />
|-<br />
| 2-3|| Dave at WID (2:30 - 3:30) || reading seminar (2:25pm) || DAVE OH (2:15) || probability seminar (2:25pm) ||<br />
|-<br />
| 3-4|| || Greg OH (3:30-4:30), Phil OH || || ||<br />
|-<br />
| 4-5|| || || || || Colloquium<br />
|-<br />
| 5-6|| || || || ||<br />
|}</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=5924Probability Seminar2013-09-20T18:29:40Z<p>Anderson: /* Thursday, September 26, David F. Anderson, UW-Madison */</p>
<hr />
<div>__NOTOC__<br />
<br />
== Fall 2013 ==<br />
<br />
<br />
Thursdays in 901 Van Vleck Hall at 2:25 PM, unless otherwise noted. <br />
<br />
<b><br />
Visit [https://mailman.cae.wisc.edu/listinfo/apseminar this page] to sign up for the email list to receive seminar announcements.</b><br />
<br />
= =<br />
<br />
== Thursday, September 12, Tom Kurtz, UW-Madison ==<br />
<br />
Title: <b> Particle representations for SPDEs with boundary conditions </b><br />
<br />
Abstract: Stochastic partial differential equations frequently arise as limits of finite systems of weighted interacting particles. For a variety of purposes, it is useful to keep the particles in the limit obtaining an infinite exchangeable system of stochastic differential equations for the particle locations and weights. The corresponding de Finetti measure then gives the solution of the SPDE. These representations frequently simplify existence, uniqueness and convergence results. Following some discussion of general approaches to SPDEs, the talk will focus on situations where the particle locations are given by an iid family of diffusion processes, and the weights are chosen to obtain a nonlinear driving term and to match given boundary conditions for the SPDE. (Recent results are joint work with Dan Crisan.)<br />
<br />
== Thursday, September 26, David F. Anderson, UW-Madison ==<br />
<br />
Title: Stochastic analysis of biochemical reaction networks with absolute concentration robustness<br />
<br />
Abstract: It has recently been shown that structural conditions on the reaction network, rather than a 'fine-tuning' of system parameters, often suffice to impart "absolute concentration robustness" on a wide class of biologically relevant, deterministically modeled mass-action systems [Shinar and Feinberg, Science, 2010]. Many biochemical networks, however, operate on a scale insufficient to justify the assumptions of the deterministic mass-action model, which raises the question of whether the long-term dynamics of the systems are being accurately captured when the deterministic model predicts stability. I will discuss recent results that show that fundamentally different conclusions about the long-term behavior of such systems are reached if the systems are instead modeled with stochastic dynamics and a discrete state space. Specifically we characterize a large class of models which exhibit convergence to a positive robust equilibrium in the deterministic setting, whereas trajectories of the corresponding stochastic models are necessarily absorbed by a set of states that reside on the boundary of the state space. The results are proved with a combination of methods from stochastic processes and chemical reaction network theory.<br />
<br />
== Thursday, October 3, Lam Ho, UW-Madison CS/Stats ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, October 10, <span style="color:red">NO SEMINAR </span>==<br />
<br />
[http://www.math.northwestern.edu/mwp/ Midwest Probability Colloquium]<br />
<br />
== <span style="color:red">Wednesday October 16, 2:30pm,</span> A. Borodin ==<br />
<br />
Title: TBA<br />
<br />
Please note the non-standard time and day.<br />
<br />
Abstract:<br />
<br />
== <span style="color:red"> Tuesday, October 22 </span>, Anton Wakolbinger, Goethe Universität Frankfurt ==<br />
<br />
Please note the non-standard time and day.<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, October 24, Ke Wang, IMA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, October 31, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, November 7, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, November 14, Miklos Racz, UC Berkeley ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, November 21, Amarjit Budhiraja, UNC-Chapel Hill ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, November 28, <span style="color:red">NO SEMINAR</span> ==<br />
<br />
[http://en.wikipedia.org/wiki/Thanksgiving Thanksgiving Holiday]<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=5923Probability Seminar2013-09-20T18:29:18Z<p>Anderson: /* Thursday, September 26, David F. Anderson, UW-Madison */</p>
<hr />
<div>__NOTOC__<br />
<br />
== Fall 2013 ==<br />
<br />
<br />
Thursdays in 901 Van Vleck Hall at 2:25 PM, unless otherwise noted. <br />
<br />
<b><br />
Visit [https://mailman.cae.wisc.edu/listinfo/apseminar this page] to sign up for the email list to receive seminar announcements.</b><br />
<br />
= =<br />
<br />
== Thursday, September 12, Tom Kurtz, UW-Madison ==<br />
<br />
Title: <b> Particle representations for SPDEs with boundary conditions </b><br />
<br />
Abstract: Stochastic partial differential equations frequently arise as limits of finite systems of weighted interacting particles. For a variety of purposes, it is useful to keep the particles in the limit obtaining an infinite exchangeable system of stochastic differential equations for the particle locations and weights. The corresponding de Finetti measure then gives the solution of the SPDE. These representations frequently simplify existence, uniqueness and convergence results. Following some discussion of general approaches to SPDEs, the talk will focus on situations where the particle locations are given by an iid family of diffusion processes, and the weights are chosen to obtain a nonlinear driving term and to match given boundary conditions for the SPDE. (Recent results are joint work with Dan Crisan.)<br />
<br />
== Thursday, September 26, David F. Anderson, UW-Madison ==<br />
<br />
Title: Stochastic analysis of biochemical reaction networks with absolute concentration robustness<br />
<br />
Abstract: It has recently been shown that structural conditions on the reaction network, rather than a `fine-tuning' of system parameters, often suffice to impart "absolute concentration robustness" on a wide class of biologically relevant, deterministically modeled mass-action systems [Shinar and Feinberg, Science, 2010]. Many biochemical networks, however, operate on a scale insufficient to justify the assumptions of the deterministic mass-action model, which raises the question of whether the long-term dynamics of the systems are being accurately captured when the deterministic model predicts stability. I will discuss recent results that show that fundamentally different conclusions about the long-term behavior of such systems are reached if the systems are instead modeled with stochastic dynamics and a discrete state space. Specifically we characterize a large class of models which exhibit convergence to a positive robust equilibrium in the deterministic setting, whereas trajectories of the corresponding stochastic models are necessarily absorbed by a set of states that reside on the boundary of the state space. The results are proved with a combination of methods from stochastic processes and chemical reaction network theory.<br />
<br />
== Thursday, October 3, Lam Ho, UW-Madison CS/Stats ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, October 10, <span style="color:red">NO SEMINAR </span>==<br />
<br />
[http://www.math.northwestern.edu/mwp/ Midwest Probability Colloquium]<br />
<br />
== <span style="color:red">Wednesday October 16, 2:30pm,</span> A. Borodin ==<br />
<br />
Title: TBA<br />
<br />
Please note the non-standard time and day.<br />
<br />
Abstract:<br />
<br />
== <span style="color:red"> Tuesday, October 22 </span>, Anton Wakolbinger, Goethe Universität Frankfurt ==<br />
<br />
Please note the non-standard time and day.<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, October 24, Ke Wang, IMA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, October 31, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, November 7, TBA ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, November 14, Miklos Racz, UC Berkeley ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, November 21, Amarjit Budhiraja, UNC-Chapel Hill ==<br />
<br />
Title: TBA<br />
<br />
Abstract:<br />
<br />
== Thursday, November 28, <span style="color:red">NO SEMINAR</span> ==<br />
<br />
[http://en.wikipedia.org/wiki/Thanksgiving Thanksgiving Holiday]<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability&diff=5817Probability2013-09-06T21:03:17Z<p>Anderson: /* Graduate students */</p>
<hr />
<div>__NOTOC__<br />
<br />
= '''Probability at UW-Madison''' =<br />
<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson] (Duke, 2005) applied probability, numerical methods, mathematical biology.<br />
<br />
[http://www.math.wisc.edu/~roch/ Sebastien Roch] (UC Berkeley, 2007) applied probability, mathematical biology, theoretical computer science.<br />
<br />
[http://www.math.wisc.edu/~seppalai/ Timo Seppäläinen] (Minnesota, 1991) interacting particle systems, random walks in random environments, large deviation theory.<br />
<br />
[http://www.math.wisc.edu/~valko/ Benedek Valko] (Budapest, 2004) interacting particle systems, random matrices.<br />
<br />
[http://www.math.wisc.edu/~pmwood/ Philip Matchett Wood] (Rutgers, 2009) combinatorics, random matrices<br />
<br />
[http://www.math.wisc.edu/~jyin/ Jun Yin] (Princeton, 2008) random matrices<br />
<br />
== Postdoctoral fellows ==<br />
<br />
[http://www.math.wisc.edu/~gshinault Gregory Shinault] (UC Davis, 2012) interacting particle systems, random growth models.<br />
<br />
== Emeriti ==<br />
<br />
[http://psoup.math.wisc.edu/kitchen.html David Griffeath] (Cornell, 1976)<br />
<br />
[http://www.math.wisc.edu/~kuelbs Jim Kuelbs] (Minnesota, 1965)<br />
<br />
[http://www.math.wisc.edu/~kurtz Tom Kurtz] (Stanford, 1967)<br />
<br />
Peter Ney (Columbia, 1961)<br />
<br />
== Graduate students ==<br />
<br />
[http://www.math.wisc.edu/~emrah/ Elnur Emrah] <br />
<br />
[http://www.math.wisc.edu/~holcomb/ Diane Holcomb] <br />
<br />
[http://www.math.wisc.edu/~janjigia Chris Janjigian]<br />
<br />
[http://www.math.wisc.edu/~kang Dae Han Kang]<br />
<br />
[http://www.math.wisc.edu/~koyama Masanori Koyama]<br />
<br />
Christian Noack<br />
<br />
Yu Sun, ysun@math.wisc.edu<br />
<br />
Jason Wang<br />
<br />
[http://www.math.wisc.edu/~skubak Beth Skubak Wolf]<br />
<br />
Yun Zhai<br />
<br />
== [[Probability Seminar]] ==<br />
<br />
Thursdays at 2:25pm, VV901<br />
<br />
<br />
== [[Probability group timetable]]==<br />
<br />
<br />
<br />
== Graduate Courses in Probability ==<br />
<br />
'''2013 Fall'''<br />
<br />
[http://www.math.wisc.edu/~ Math/Stat 733 Theory of Probability I (formerly 831)]<br />
<br />
<br />
'''2013 Spring'''<br />
<br />
[http://www.math.wisc.edu/~seppalai/courses/833/2013833home.html Math/Stat 833 Topics in Probability Spring 2013: Large Deviations and Gibbs Measures]<br />
<br />
[http://www.math.wisc.edu/~anderson/832S13/832S13.html Math 832 - Theory of Probability II]<br />
<br />
<br />
==[[Graduate student reading seminar]]==<br />
<br />
Tuesdays, 2:25pm</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_group_timetable&diff=5816Probability group timetable2013-09-06T20:33:17Z<p>Anderson: </p>
<hr />
<div>{| border="2"<br />
| ||Monday||Tuesday||Wednesday||Thursday||Friday<br />
|-<br />
| 9-10|| 234 Greg 7:45, Phil out|| Benedek (OH) 9:30, 340 Beth, 132 Diane, 703 Elnur 9:30, 777 Dae Han || 234 Greg 7:45 ||Benedek (OH) 9:30, 340 Beth, 132 Diane, 703 Elnur 9:30, 777 Dae Han|| 234 Greg 7:45, Phil Out<br />
|-<br />
| 10-11|| 431 Timo, Greg, 331 Sebastien 9:55, Phil out || 222 Chris || 431 Timo, Greg, 331 Sebastien 9:55 || 222 Chris || 431 Timo, Greg, 331 Sebastien 9:55 , Phil Out<br />
|-<br />
| 11-12||873 Beth, Phil Out|| 431 Benedek 11, 827 Chris, 827 Elnur, 714 Yun, 222 Dae Han ||873 Beth|| 431 Benedek 11, 827 Chris, 827 Elnur, 714 Yun, 222 Dae Han|| 873 Beth, Phil Out<br />
|-<br />
| 12-1|| 632 Sebastien 12:05, 340 Elnur, 222 Dae Han || 340 Beth, 222 Dae Han || 632 Sebastien 12:05, 340 Elnur, 222 Dae Han|| 340 Beth ,222 Dae Han || 632 Sebastien 12:05, 222 Dae Han<br />
|-<br />
| 1-2|| 431 Timo 1:20pm ,819 Dae Han || 605 Dave, 733 Sebastien 1:00, 340 Beth, 222 Chris, 340 Elnur, OH Dae Han || 431 Timo 1:20pm, 112 Yun, 819 Dae Han || 605 Dave, 733 Sebastien 1:00, 340 Beth, 222 Chris, 340 Elnur || 431 Timo 1:20pm, 112 Yun, 819 Dae Han, Dave (OH)<br />
|-<br />
| 2-3|| 222 Chris 2:25pm, 340 Elnur 2:25|| Grad student probability seminar || 222 Chris 2:25pm, 340 Elnur 2:25, 112 Yun||Probability seminar (2:25) || 222 Chris 2:25pm, 112 Yun<br />
|-<br />
| 3-4|| || Dave (OH) 3:30 || || ||<br />
|-<br />
| 4-5|| ||840 Yun || ||840 Yun || Colloquium<br />
|-<br />
| 5-6|| || || || ||<br />
|}</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_group_timetable&diff=5801Probability group timetable2013-09-05T15:13:23Z<p>Anderson: </p>
<hr />
<div>{| border="2"<br />
| ||Monday||Tuesday||Wednesday||Thursday||Friday<br />
|-<br />
| 9-10|| 234 Greg 7:45, Phil out|| Benedek (OH) 9:30, 340 Beth, 132 Diane, 703 Elnur 9:30, 777 Dae Han || 234 Greg 7:45 ||Benedek (OH) 9:30, 340 Beth, 132 Diane, 703 Elnur 9:30, 777 Dae Han|| 234 Greg 7:45, Phil Out<br />
|-<br />
| 10-11|| 431 Timo, Greg, 331 Sebastien 9:55, Phil out || 222 Chris || 431 Timo, Greg, 331 Sebastien 9:55 || 222 Chris || 431 Timo, Greg, 331 Sebastien 9:55 , Phil Out<br />
|-<br />
| 11-12||873 Beth, Phil Out|| 431 Benedek 11, 827 Chris, 827 Elnur, 714 Yun, 222 Dae Han ||873 Beth|| 431 Benedek 11, 827 Chris, 827 Elnur, 714 Yun, 222 Dae Han|| 873 Beth, Phil Out<br />
|-<br />
| 12-1|| 632 Sebastien 12:05, 340 Elnur, 222 Dae Han || 340 Beth, 222 Dae Han || 632 Sebastien 12:05, 340 Elnur, 222 Dae Han|| 340 Beth ,222 Dae Han || 632 Sebastien 12:05, 222 Dae Han<br />
|-<br />
| 1-2|| 431 Timo 1:20pm ,819 Dae Han || 605 Dave, 733 Sebastien 1:00, 340 Beth, 222 Chris, 340 Elnur, OH Dae Han || 431 Timo 1:20pm, 112 Yun, 819 Dae Han || 605 Dave, 733 Sebastien 1:00, 340 Beth, 222 Chris, 340 Elnur || 431 Timo 1:20pm, 112 Yun, 819 Dae Han, Dave (OH)<br />
|-<br />
| 2-3|| 222 Chris 2:25pm, 340 Elnur 2:25|| Grad student probability seminar || 222 Chris 2:25pm, 340 Elnur 2:25, 112 Yun||Probability seminar (2:25) || 222 Chris 2:25pm, 112 Yun<br />
|-<br />
| 3-4|| Dave (OH) 3:30 || || || ||<br />
|-<br />
| 4-5|| ||840 Yun || ||840 Yun || Colloquium<br />
|-<br />
| 5-6|| || || || ||<br />
|}</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability&diff=5799Probability2013-09-05T15:11:51Z<p>Anderson: /* Graduate students */</p>
<hr />
<div>__NOTOC__<br />
<br />
= '''Probability at UW-Madison''' =<br />
<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson] (Duke, 2005) applied probability, numerical methods, mathematical biology.<br />
<br />
[http://www.math.wisc.edu/~roch/ Sebastien Roch] (UC Berkeley, 2007) applied probability, mathematical biology, theoretical computer science.<br />
<br />
[http://www.math.wisc.edu/~seppalai/ Timo Seppäläinen] (Minnesota, 1991) interacting particle systems, random walks in random environments, large deviation theory.<br />
<br />
[http://www.math.wisc.edu/~valko/ Benedek Valko] (Budapest, 2004) interacting particle systems, random matrices.<br />
<br />
[http://www.math.wisc.edu/~pmwood/ Philip Matchett Wood] (Rutgers, 2009) combinatorics, random matrices<br />
<br />
[http://www.math.wisc.edu/~jyin/ Jun Yin] (Princeton, 2008) random matrices<br />
<br />
== Postdoctoral fellows ==<br />
<br />
[http://www.math.wisc.edu/~gshinault Gregory Shinault] (UC Davis, 2012) interacting particle systems, random growth models.<br />
<br />
== Emeriti ==<br />
<br />
[http://psoup.math.wisc.edu/kitchen.html David Griffeath] (Cornell, 1976)<br />
<br />
[http://www.math.wisc.edu/~kuelbs Jim Kuelbs] (Minnesota, 1965)<br />
<br />
[http://www.math.wisc.edu/~kurtz Tom Kurtz] (Stanford, 1967)<br />
<br />
Peter Ney (Columbia, 1961)<br />
<br />
== Graduate students ==<br />
<br />
[http://www.math.wisc.edu/~emrah/ Elnur Emrah] <br />
<br />
[http://www.math.wisc.edu/~holcomb/ Diane Holcomb] <br />
<br />
[http://www.math.wisc.edu/~janjigia Chris Janjigian]<br />
<br />
[http://www.math.wisc.edu/~kang Dae Han Kang]<br />
<br />
[http://www.math.wisc.edu/~koyama Masanori Koyama]<br />
<br />
Yu Sun<br />
<br />
Jason Wang<br />
<br />
[http://www.math.wisc.edu/~skubak Beth Skubak Wolf]<br />
<br />
Yun Zhai<br />
<br />
== [[Probability Seminar]] ==<br />
<br />
Thursdays at 2:25pm, VV901<br />
<br />
<br />
== [[Probability group timetable]]==<br />
<br />
<br />
<br />
== Graduate Courses in Probability ==<br />
<br />
'''2013 Fall'''<br />
<br />
[http://www.math.wisc.edu/~ Math/Stat 733 Theory of Probability I (formerly 831)]<br />
<br />
<br />
'''2013 Spring'''<br />
<br />
[http://www.math.wisc.edu/~seppalai/courses/833/2013833home.html Math/Stat 833 Topics in Probability Spring 2013: Large Deviations and Gibbs Measures]<br />
<br />
[http://www.math.wisc.edu/~anderson/832S13/832S13.html Math 832 - Theory of Probability II]<br />
<br />
<br />
==[[Graduate student reading seminar]]==<br />
<br />
Tuesdays, 2:25pm</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Applied&diff=5412Applied2013-06-13T16:57:32Z<p>Anderson: /* Tenured and tenure-track faculty */</p>
<hr />
<div>__NOTOC__<br />
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]<br />
<br />
= '''Applied Mathematics at UW-Madison''' =<br />
<br />
Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.<br />
<br />
<br><br />
<br />
== News and opportunities ==<br />
<br />
* '''Qin Li''' (student of Shi Jin) graduated in Summer 2013. She was awarded an ''Excellence in Research'' award by the math department and has accepted a von Karman Instructor position at Caltech. <!-- Added by jeanluc 2013-06-11 --><br />
<br />
* '''Shi Jin''' was elected to [http://fellows.siam.org/index.php?sort=year&value=2013 SIAM Fellow]. Last year he was part of the inaugural class of [http://www.ams.org/profession/fellows-list AMS Fellows].<br />
<br />
* '''Sarah Tumasz''' (student of Jean-Luc Thiffeault) was awarded the 2012/13 John Nohel Prize in Applied Mathematics for her thesis, "Topological stirring."<br />
<br />
* '''Qiang Deng''' (student of Leslie Smith) graduated in Summer 2012 and has a postdoc at Courant Abu-Dhabi starting Sept 2012.<br />
<br />
* '''Hesam Dashti''' (student of Amir Assadi) received an MSc in Computational Mathematics in May 2012 and continues his PhD in Biophysics at UW Madison. <!-- Added by jeanluc 2012-08-09 --><br />
<br />
* '''Anakewit (Tete) Boonkasame''' (Ph.D. student of Paul Milewski) graduated in Summer 2012, and is now a postdoc with Leslie Smith and Fabian Waleffe. <!-- Added by jeanluc 2012-08-09 --><br />
<br />
* '''Zhan Wang''' (Ph.D. student of Paul Milewski) graduated in Summer 2012, and is now a postdoc with Jean-Marc Vanden-Broeck at UCL. <!-- Added by jeanluc 2012-08-09 --><br />
<br />
* '''Peng Qi''' (Ph.D. student of Shi Jin) graduated in Summer 2012 and took a Quantitative Associate position at Wells Fargo Bank in California. <!-- Added by jeanluc 2012-08-09 --><br />
<br />
* '''Li (Aug) Wang''' (Ph.D. student of Shi Jin) graduated in Summer 2012 and is now an postdoctoral Assistant Professor at University of Michigan-Ann Arbor. <!-- Added by jeanluc 2012-08-09 --><br />
<br />
* Research Projects in High Performance Computation and BIGDATA resources are available for graduate students taking courses or participating in [http://vv811a.math.wisc.edu/persepolis/index.php/hpc Persepolis research projects]. <!-- Added by jeanluc 2012-08-09 --><br />
<br />
* Funding opportunity for a '''postdoctoral researcher''' in the area of '''stochastic and statistical modeling of climate''' (contact [http://www.math.wisc.edu/~stechmann/ Sam Stechmann], supported by [http://www.onr.navy.mil/ ONR], apply at [http://www.mathjobs.org/jobs/jobs/3803 mathjobs.org]). <!-- Added by stechmann 2012-07-24 --><br />
<br />
* '''[http://www.math.msu.edu/~seal/ David Seal]''' (Ph.D. student with James Rossmanith) graduated in 2012 and is now a post-doc at [http://www.math.msu.edu/ Michigan State University]. <!-- Added by rossmani 2012-06-14 --><br />
<br />
* '''E. Alec Johnson''' (Ph.D. student with James Rossmanith) graduated and is now a post-doc at the [http://wis.kuleuven.be/cpa/index.php Centre for Plasma Astrophysics (KU-Leuven)]. <!-- Added by rossmani 2012-06-14 --><br />
<br />
* Funding opportunity for a '''graduate student''' to study dynamics of large-scale molecular systems, such as cell membranes (contact [http://www.math.wisc.edu/~mitchell Julie Mitchell], supported by [http://nsf.gov NSF]). <!-- Added by mitchell 2012-06-11 --><br />
<br />
* Funding opportunity for a '''graduate student''' to study mathematics of fluids - regularity and mixing, more for information check http://www.math.wisc.edu/~kiselev/graduate.html (contact [http://www.math.wisc.edu/~kiselev Sasha Kiselev], supported by [http://nsf.gov NSF]). <!-- Added by kiselev 2012-04-19 --><br />
<br />
* Funding opportunity for a '''graduate student''' to study chemotaxis and applications in mathematical biology, more for information check http://www.math.wisc.edu/~kiselev/graduate.html (contact [http://www.math.wisc.edu/~kiselev Sasha Kiselev], supported by [http://nsf.gov NSF]). <!-- Added by kiselev 2012-04-19 --><br />
<br />
* '''[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie]''' has accepted a position as a tenure-track assistant professor in our department. Saverio will join us this Fall. Welcome to the group, Saverio! <!-- Added by jeanluc 2012-03-15 --><br />
<br />
* '''Bokai Yan''' (PhD student with Shi Jin) graduated in Fall 2011 and is now a postdoc at UCLA. <!-- Added by jeanluc 2012-02-05 --><br />
<br />
* Funding opportunity for a '''graduate student''' to study '''persistence and multistability in biological networks''' (contact [http://www.math.wisc.edu/~craciun Gheorghe Craciun], supported by [http://nih.gov NIH]). <!-- Added by craciun 2011-09-01 --><br />
<br />
* Funding opportunity for a '''graduate student''' to study '''mathematical analysis of mass spectrometry data and proteomics''' (contact [http://www.math.wisc.edu/~craciun Gheorghe Craciun], supported by [http://nsf.gov NSF]). <!-- Added by craciun 2011-09-01 --><br />
<br />
* '''Li Wang''' (PhD student with Leslie Smith) graduated and has a job at [http://www.epic.com/ Epic]. <!-- Added by jeanluc 2011-09-01 --><br />
<br />
* Funding opportunity for a '''graduate student''' to study '''waves in geophysical flows and tropical cyclogenesis''' (contact [http://www.math.wisc.edu/~lsmith Leslie Smith], supported by [http://nsf.gov NSF]). <!-- Added by jeanluc 2011-09-01 --><br />
<br />
* Funding opportunity for a '''graduate student''' to study '''nonlinear critical layers and exact coherent states in turbulent shear flows''' (contact [http://www.math.wisc.edu/~waleffe Fabian Waleffe], supported by [http://nsf.gov NSF]). <!-- Added by Wally 2011-09-02 --><br />
<br />
<br><br />
<br />
== Seminars ==<br />
<br />
''organized by Applied Math''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS GPS Applied Math Seminar] (Fridays at 9:00am, VV 901)<br />
* Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811)<br />
<br />
<br />
''other seminar series of interest''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Colloquia Mathematics Colloquium] (Fridays at 4:00pm, VV B239)<br />
* [http://silo.ece.wisc.edu/web/content/seminars SILO Seminar] (Wednesdays at 12:30pm, 3rd floor WID)<br />
* [http://www.cs.wisc.edu/category/event-types/wid-dow-presentation-series WID-DOW Seminar] (Mondays at 4:00pm, 3rd floor WID)<br />
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)<br />
* [http://www.engr.wisc.edu/news/events/index.phtml?start=2011-09-02&range=3650&search=Rheology RRC Lecture] (Fridays at 12:05pm, 1800 Engineering Hall)<br />
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)<br />
<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, biochemical networks, mathematical/systems biology.<br />
<br />
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. <br />
<br />
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.<br />
<br />
[http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis<br />
and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.<br />
<br />
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.<br />
<br />
[http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology.<br />
<br />
[http://www.math.wisc.edu/~roch/ S&eacute;bastien Roch:] (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.<br />
<br />
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. <br />
<br />
[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
<br />
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.<br />
<br />
[http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials<br />
<br />
<br><br />
<br />
== Postdoctoral fellows and researchers ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/30-majid-arabgol Majid Arabgol:]<br />
HPC & Visualization Research Scholar<br />
<br />
[http://www.math.wisc.edu/~boonkasa Anakewit (Tete) Boonkasame:] (UW Madison, 2012)<br />
<br />
Marko Budi&#x161;i&#x107;: (UC Santa Barbara, 2013)<br />
<br />
[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)<br />
<br />
[http://www.math.wisc.edu/~hernande Gerardo Hernandez-Duenas:] (Michigan, 2011) geophysical fluid dynamics<br />
<br />
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]<br />
(University of Waterloo, 2011) dynamical systems<br />
<br />
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. --><br />
<br />
<br><br />
<br />
== Current Graduate Students ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/23-adel-ardalan Adel Ardalan:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/24-hamisha-ardalani Hamisha Ardalani:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~blackman/ Claire Blackman:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~crompton/ Bryan Crompton:] Student of Saverio Spagnolie.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/26-alireza-fotuhi-siahpirani Alireza Fotuhi:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/27-mohammad-khabazian Mohammad Khabbazian:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~leili/ Lei Li:] Student of Shi Jin.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/32-hasti-mirkia Hasti Mirkia:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~whmitchell/ Will Mitchell:] Student of Saverio Spagnolie.<br />
<br />
[http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/28-arash-sangari Arash Sangari:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/29-ebru-selin-selen Ebru Selin Selen:] Student of Amir Assadi.<br />
<br />
Yun Sun: Student of Shi Jin.<br />
<br />
[http://www.math.wisc.edu/~skubak/ Elizabeth Skubak Wolf:] Student of David Anderson.<br />
<br />
Qian You: Student of Sigurd Angenent.<br />
<br />
[http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.<br />
<br />
<!-- Past students: --><br />
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. --><br />
<!--Zhan Wang: Student of Paul Milewski.--><br />
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.--><br />
<!--Peng Qi: Student of Shi Jin. --><br />
<!--Li (Aug) Wang: Student of Shi Jin. --><br />
<!--Li Wang: Student of Leslie Smith. --><br />
<!--David Seal: Student of James Rossmanith. --><br />
<!--E. Alec Johnson: Student of James Rossmanith. --><br />
<!--Hesam Dashti: MSc Student of Amir Assadi.--><br />
<!--Qiang Deng: Student of Leslie Smith.--><br />
<!--[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.--><br />
<!--[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.--><br />
<!--Yongtao Cheng: Student of James Rossmanith.--><br />
<br />
<br><br />
<br />
== Graduate course offerings ==<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===<br />
<br />
* Math 605: Stochastic Methods for Biology (David Anderson)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 826: Advanced Topics in Functional Analysis and Differential Equations (Alexander Kiselev)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2014] ===<br />
<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (David Anderson)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 833: Topics in Probability - Stochastic Processes in Evolution and Genetics (Sebastien Roch)<br />
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2013] ===<br />
<br />
* Math 704: Methods of Applied Mathematics 2 (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean-Luc Thiffeault) --><br />
<br />
<!-- === Spring 2012 ===<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann) --><br />
<br />
<br />
<!--<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2011] ===<br />
<br />
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)<br />
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)<br />
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)<br />
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)<br />
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)<br />
--><br />
<br />
<!--<br />
Spring 2011:<br />
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)<br />
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)<br />
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)<br />
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)<br />
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)<br />
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]<br />
<br />
[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps])</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=5236Probability Seminar2013-04-09T19:53:51Z<p>Anderson: </p>
<hr />
<div>__NOTOC__<br />
<br />
== Spring 2013 ==<br />
<br />
<br />
Thursdays in 901 Van Vleck Hall at 2:25 PM, unless otherwise noted. If you would like to receive announcements about upcoming seminars, please visit [https://www-old.cae.wisc.edu/mailman/listinfo/apseminar this page] to sign up for the email list.<br />
<br />
<br />
[[Past Seminars]]<br />
<br />
== Thursday, January 31, Bret Larget, UW-Madison ==<br />
<br />
Title: Approximate conditional independence of separated subtrees and phylogenetic inference<br />
<br />
Abstract:<br />
Bayesian methods to reconstruct evolutionary trees from aligned DNA<br />
sequence data from different species depend on Markov chain Monte<br />
Carlo sampling of phylogenetic trees from a posterior distribution.<br />
The probabilities of tree topologies are typically estimated with the<br />
simple relative frequencies of the trees in the sample. When the<br />
posterior distribution is spread thinly over a very large number of<br />
trees, the simple relative frequencies from finite samples are often<br />
inaccurate estimates of the posterior probabilities for many trees. We<br />
present a new method for estimating the posterior distribution on the<br />
space of trees from samples based on the approximation of conditional<br />
independence between subtrees given their separation by an edge in the<br />
tree. This approximation procedure effectively spreads the estimated<br />
posterior distribution from the sampled trees to the larger set of<br />
trees that contain clades (sets of species in subtrees) that have been<br />
sampled, even if the full tree is not part of the sample. The<br />
approximation is shown to be accurate for many data sets and is<br />
theoretically justified. We also explore a consequence of this result<br />
that may lead to substantial increases in computational efficiency for<br />
sampling trees from posterior distributions. Finally, we present an<br />
open problem to compare rates of convergence between the simple<br />
relative frequency approach and the approximation approach.<br />
<br />
==Thursday, February 14, Jean-Luc Thiffeault, UW-Madison==<br />
<br />
Title: Biomixing and large deviations<br />
<br />
Abstract: As fish, micro-organisms, or other bodies move through a fluid, they<br />
stir their surroundings. This can be beneficial to some fish, since<br />
the plankton they eat depends on a well-stirred medium to feed on<br />
nutrients. Bacterial colonies also stir their environment, and this<br />
is even more crucial for them since at small scales there is no<br />
turbulence to help mixing. I will discuss a simple model of the<br />
stirring action of moving bodies through a fluid. An attempt will be<br />
made to explain existing data on the displacements of small particles,<br />
which exhibits probability densities with exponential tails. A<br />
large-deviation approach helps to explain some of the data, but<br />
mysteries remain.<br />
<br />
== <span style="color:#FF0000"> Tuesday, March 5, 2:30pm VV B341</span>, Janosch Ortmann, University of Toronto==<br />
<br />
Title: Product-form Invariant Measures for Brownian Motion with Drift Satisfying a Skew-symmetry Type Condition<br />
<br />
Abstract: Motivated by recent developments on positive-temperature polymer models we propose a generalisation of reflected Brownian motion (RBM) in a polyhedral domain. Our process is obtained by replacing the singular drift on the boundary by a continuous one which depends, via a potential U, on the position of the process relative to the domain. We show that our generalised process has an invariant measure in product form, under a certain skew-symmetry condition that is independent of the choice of potential. Applications include TASEP-like particle systems, generalisations of Brownian motion with rank-dependent drift and diffusions connected to the generalised Pitman transform.<br />
<br />
==Thursday, March 14, Brian Rider, Temple University==<br />
<br />
Title: Universality for the stochastic Airy operator<br />
<br />
Abstract: The stochastic Airy operator (SAO) has the form second derivative plus shifted white noise potential. Its reason for being is that it describes the Tracy-Widom laws extended to "general beta" (from the original beta=1,2,4 laws tied to real, complex, and quaternion symmetries). More to the point, SAO is known to be the operator limit for certain random tridiagonal matrices which realize, for example, log-gas distributions on the line with quadratic potential (the "beta Hermite ensembles"), scaled to the edge of their spectrum. Here we show that SAO characterizes edge universality for a more general class of log-gases, defined by more general polynomial potentials beyond the quadratic case. Joint work with M. Krishnapur and B. Virag.<br />
<br />
==Thursday, March 21, Timo Seppalainen (UW Madison) ==<br />
<br />
Title: Limits of ratios of partition functions for the log-gamma polymer<br />
<br />
Abstract: For the model known as the directed polymer in a random medium, the definition of weak disorder is that normalized<br />
partition functions converge to a positive limit. In strong disorder this limit vanishes. In the log-gamma polymer we<br />
can show that ratios of point-to-point and point-to-line partition functions converge to gamma-distributed limits.<br />
One consequence of this is that the quenched polymer measure converges to a random walk in a correlated random environment.<br />
This RWRE can be regarded as a positive temperature analogue of the competition interface of last-passage percolation,<br />
or the second class particle.<br />
<br />
== Thursday, April 11, [http://math.arizona.edu/~klin/index.php Kevin Lin], University of Arizona==<br />
<br />
Title: Stimulus-response reliability of dynamical networks<br />
<br />
Abstract: A network of dynamical systems (e.g., neurons) driven by a<br />
fluctuating time-dependent signal is said to be reliable if,<br />
upon repeated presentations of the same signal, it gives<br />
essentially the same response each time. As a system's<br />
degree of reliability may constrain its ability to encode<br />
and transmit information, a natural question is how network<br />
conditions affect reliability; this question is of interest<br />
in e.g. computational neuroscience. In this talk, I will<br />
report on a body of work aimed at discovering network<br />
conditions and dynamical mechanisms that affect the<br />
reliability of networks, within a class of idealized neural<br />
network models. I will discuss a general condition for<br />
reliability, and survey some specific mechanisms for<br />
reliable and unreliable behavior in concrete models.<br />
<br />
== <span style="color:#FF0000"> Tuesday, April 16, 2:30pm, </span> [http://www.mathstat.concordia.ca/faculty/lpopovic/ Lea Popovic], Concordia University==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
<br />
== Thursday, April 18, [http://www.math.uiuc.edu/~rdeville/ Lee DeVille], University of Illinois==<br />
<br />
Title: Emergent metastability for dynamical systems on networks<br />
<br />
Abstract: We will consider stochastic dynamical systems defined on networks that exhibit the phenomenon of collective metastability---by this we mean network dynamics where none of the individual nodes' dynamics are metastable, but the configuration is metastable in its collective behavior. We will concentrate on the case of SDE with small white noise for concreteness. We also present some specific results relating to stochastic perturbations of the Kuramoto system of coupled nonlinear oscillators. Along the way, we show that there is a non-standard spectral problem that appears naturally, and that the important features of this spectral problem are determined by a certain homology group.<br />
<br />
== Thursday, April 25, [http://math.berkeley.edu/~rezakhan/ Fraydoun Rezakhanlou], UC - Berkeley==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
== Wednesday, May 1, [http://www-wt.iam.uni-bonn.de/~vetob/ Bálint Vető], University of Bonn ==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=5221Probability Seminar2013-04-04T13:57:47Z<p>Anderson: </p>
<hr />
<div>__NOTOC__<br />
<br />
== Spring 2013 ==<br />
<br />
<br />
Thursdays in 901 Van Vleck Hall at 2:25 PM, unless otherwise noted. If you would like to receive announcements about upcoming seminars, please visit [https://www-old.cae.wisc.edu/mailman/listinfo/apseminar this page] to sign up for the email list.<br />
<br />
<br />
[[Past Seminars]]<br />
<br />
== Thursday, January 31, Bret Larget, UW-Madison ==<br />
<br />
Title: Approximate conditional independence of separated subtrees and phylogenetic inference<br />
<br />
Abstract:<br />
Bayesian methods to reconstruct evolutionary trees from aligned DNA<br />
sequence data from different species depend on Markov chain Monte<br />
Carlo sampling of phylogenetic trees from a posterior distribution.<br />
The probabilities of tree topologies are typically estimated with the<br />
simple relative frequencies of the trees in the sample. When the<br />
posterior distribution is spread thinly over a very large number of<br />
trees, the simple relative frequencies from finite samples are often<br />
inaccurate estimates of the posterior probabilities for many trees. We<br />
present a new method for estimating the posterior distribution on the<br />
space of trees from samples based on the approximation of conditional<br />
independence between subtrees given their separation by an edge in the<br />
tree. This approximation procedure effectively spreads the estimated<br />
posterior distribution from the sampled trees to the larger set of<br />
trees that contain clades (sets of species in subtrees) that have been<br />
sampled, even if the full tree is not part of the sample. The<br />
approximation is shown to be accurate for many data sets and is<br />
theoretically justified. We also explore a consequence of this result<br />
that may lead to substantial increases in computational efficiency for<br />
sampling trees from posterior distributions. Finally, we present an<br />
open problem to compare rates of convergence between the simple<br />
relative frequency approach and the approximation approach.<br />
<br />
==Thursday, February 14, Jean-Luc Thiffeault, UW-Madison==<br />
<br />
Title: Biomixing and large deviations<br />
<br />
Abstract: As fish, micro-organisms, or other bodies move through a fluid, they<br />
stir their surroundings. This can be beneficial to some fish, since<br />
the plankton they eat depends on a well-stirred medium to feed on<br />
nutrients. Bacterial colonies also stir their environment, and this<br />
is even more crucial for them since at small scales there is no<br />
turbulence to help mixing. I will discuss a simple model of the<br />
stirring action of moving bodies through a fluid. An attempt will be<br />
made to explain existing data on the displacements of small particles,<br />
which exhibits probability densities with exponential tails. A<br />
large-deviation approach helps to explain some of the data, but<br />
mysteries remain.<br />
<br />
== <span style="color:#FF0000"> Tuesday, March 5, 2:30pm VV B341</span>, Janosch Ortmann, University of Toronto==<br />
<br />
Title: Product-form Invariant Measures for Brownian Motion with Drift Satisfying a Skew-symmetry Type Condition<br />
<br />
Abstract: Motivated by recent developments on positive-temperature polymer models we propose a generalisation of reflected Brownian motion (RBM) in a polyhedral domain. Our process is obtained by replacing the singular drift on the boundary by a continuous one which depends, via a potential U, on the position of the process relative to the domain. We show that our generalised process has an invariant measure in product form, under a certain skew-symmetry condition that is independent of the choice of potential. Applications include TASEP-like particle systems, generalisations of Brownian motion with rank-dependent drift and diffusions connected to the generalised Pitman transform.<br />
<br />
==Thursday, March 14, Brian Rider, Temple University==<br />
<br />
Title: Universality for the stochastic Airy operator<br />
<br />
Abstract: The stochastic Airy operator (SAO) has the form second derivative plus shifted white noise potential. Its reason for being is that it describes the Tracy-Widom laws extended to "general beta" (from the original beta=1,2,4 laws tied to real, complex, and quaternion symmetries). More to the point, SAO is known to be the operator limit for certain random tridiagonal matrices which realize, for example, log-gas distributions on the line with quadratic potential (the "beta Hermite ensembles"), scaled to the edge of their spectrum. Here we show that SAO characterizes edge universality for a more general class of log-gases, defined by more general polynomial potentials beyond the quadratic case. Joint work with M. Krishnapur and B. Virag.<br />
<br />
==Thursday, March 21, Timo Seppalainen (UW Madison) ==<br />
<br />
Title: Limits of ratios of partition functions for the log-gamma polymer<br />
<br />
Abstract: For the model known as the directed polymer in a random medium, the definition of weak disorder is that normalized<br />
partition functions converge to a positive limit. In strong disorder this limit vanishes. In the log-gamma polymer we<br />
can show that ratios of point-to-point and point-to-line partition functions converge to gamma-distributed limits.<br />
One consequence of this is that the quenched polymer measure converges to a random walk in a correlated random environment.<br />
This RWRE can be regarded as a positive temperature analogue of the competition interface of last-passage percolation,<br />
or the second class particle.<br />
<br />
== Thursday, April 11, [http://math.arizona.edu/~klin/index.php Kevin Lin], University of Arizona==<br />
<br />
Title: Stimulus-response reliability of dynamical networks<br />
<br />
Abstract: A network of dynamical systems (e.g., neurons) driven by a<br />
fluctuating time-dependent signal is said to be reliable if,<br />
upon repeated presentations of the same signal, it gives<br />
essentially the same response each time. As a system's<br />
degree of reliability may constrain its ability to encode<br />
and transmit information, a natural question is how network<br />
conditions affect reliability; this question is of interest<br />
in e.g. computational neuroscience. In this talk, I will<br />
report on a body of work aimed at discovering network<br />
conditions and dynamical mechanisms that affect the<br />
reliability of networks, within a class of idealized neural<br />
network models. I will discuss a general condition for<br />
reliability, and survey some specific mechanisms for<br />
reliable and unreliable behavior in concrete models.<br />
<br />
== <span style="color:#FF0000"> Tuesday, April 16, 2:30pm, </span> [http://www.mathstat.concordia.ca/faculty/lpopovic/ Lea Popovic], Concordia University==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
<br />
== Thursday, April 18, [http://www.math.uiuc.edu/~rdeville/ Lee DeVille], University of Illinois==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
== Thursday, April 25, [http://math.berkeley.edu/~rezakhan/ Fraydoun Rezakhanlou], UC - Berkeley==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
== Wednesday, May 1, [http://www-wt.iam.uni-bonn.de/~vetob/ Bálint Vető], University of Bonn ==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=5153Probability Seminar2013-03-13T02:35:59Z<p>Anderson: /* Wednesday, May 1, Bálint Vető, University of Bonn */</p>
<hr />
<div>__NOTOC__<br />
<br />
== Spring 2013 ==<br />
<br />
<br />
Thursdays in 901 Van Vleck Hall at 2:25 PM, unless otherwise noted. If you would like to receive announcements about upcoming seminars, please visit [https://www-old.cae.wisc.edu/mailman/listinfo/apseminar this page] to sign up for the email list.<br />
<br />
<br />
[[Past Seminars]]<br />
<br />
== Thursday, January 31, Bret Larget, UW-Madison ==<br />
<br />
Title: Approximate conditional independence of separated subtrees and phylogenetic inference<br />
<br />
Abstract:<br />
Bayesian methods to reconstruct evolutionary trees from aligned DNA<br />
sequence data from different species depend on Markov chain Monte<br />
Carlo sampling of phylogenetic trees from a posterior distribution.<br />
The probabilities of tree topologies are typically estimated with the<br />
simple relative frequencies of the trees in the sample. When the<br />
posterior distribution is spread thinly over a very large number of<br />
trees, the simple relative frequencies from finite samples are often<br />
inaccurate estimates of the posterior probabilities for many trees. We<br />
present a new method for estimating the posterior distribution on the<br />
space of trees from samples based on the approximation of conditional<br />
independence between subtrees given their separation by an edge in the<br />
tree. This approximation procedure effectively spreads the estimated<br />
posterior distribution from the sampled trees to the larger set of<br />
trees that contain clades (sets of species in subtrees) that have been<br />
sampled, even if the full tree is not part of the sample. The<br />
approximation is shown to be accurate for many data sets and is<br />
theoretically justified. We also explore a consequence of this result<br />
that may lead to substantial increases in computational efficiency for<br />
sampling trees from posterior distributions. Finally, we present an<br />
open problem to compare rates of convergence between the simple<br />
relative frequency approach and the approximation approach.<br />
<br />
==Thursday, February 14, Jean-Luc Thiffeault, UW-Madison==<br />
<br />
Title: Biomixing and large deviations<br />
<br />
Abstract: As fish, micro-organisms, or other bodies move through a fluid, they<br />
stir their surroundings. This can be beneficial to some fish, since<br />
the plankton they eat depends on a well-stirred medium to feed on<br />
nutrients. Bacterial colonies also stir their environment, and this<br />
is even more crucial for them since at small scales there is no<br />
turbulence to help mixing. I will discuss a simple model of the<br />
stirring action of moving bodies through a fluid. An attempt will be<br />
made to explain existing data on the displacements of small particles,<br />
which exhibits probability densities with exponential tails. A<br />
large-deviation approach helps to explain some of the data, but<br />
mysteries remain.<br />
<br />
== <span style="color:#FF0000"> Tuesday, March 5, 2:30pm VV B341</span>, Janosch Ortmann, University of Toronto==<br />
<br />
Title: Product-form Invariant Measures for Brownian Motion with Drift Satisfying a Skew-symmetry Type Condition<br />
<br />
Abstract: Motivated by recent developments on positive-temperature polymer models we propose a generalisation of reflected Brownian motion (RBM) in a polyhedral domain. Our process is obtained by replacing the singular drift on the boundary by a continuous one which depends, via a potential U, on the position of the process relative to the domain. We show that our generalised process has an invariant measure in product form, under a certain skew-symmetry condition that is independent of the choice of potential. Applications include TASEP-like particle systems, generalisations of Brownian motion with rank-dependent drift and diffusions connected to the generalised Pitman transform.<br />
<br />
==Thursday, March 14, Brian Rider, Temple University==<br />
<br />
Title: Universality for the stochastic Airy operator<br />
<br />
Abstract: The stochastic Airy operator (SAO) has the form second derivative plus shifted white noise potential. Its reason for being is that it describes the Tracy-Widom laws extended to "general beta" (from the original beta=1,2,4 laws tied to real, complex, and quaternion symmetries). More to the point, SAO is known to be the operator limit for certain random tridiagonal matrices which realize, for example, log-gas distributions on the line with quadratic potential (the "beta Hermite ensembles"), scaled to the edge of their spectrum. Here we show that SAO characterizes edge universality for a more general class of log-gases, defined by more general polynomial potentials beyond the quadratic case. Joint work with M. Krishnapur and B. Virag.<br />
<br />
==Thursday, March 21, Timo Seppalainen (UW Madison) ==<br />
<br />
Title: Limits of ratios of partition functions for the log-gamma polymer<br />
<br />
Abstract: For the model known as the directed polymer in a random medium, the definition of weak disorder is that normalized<br />
partition functions converge to a positive limit. In strong disorder this limit vanishes. In the log-gamma polymer we<br />
can show that ratios of point-to-point and point-to-line partition functions converge to gamma-distributed limits.<br />
One consequence of this is that the quenched polymer measure converges to a random walk in a correlated random environment.<br />
This RWRE can be regarded as a positive temperature analogue of the competition interface of last-passage percolation,<br />
or the second class particle.<br />
<br />
== Thursday, April 11, [http://math.arizona.edu/~klin/index.php Kevin Lin], University of Arizona==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
== Thursday, April 18, [http://www.math.uiuc.edu/~rdeville/ Lee DeVille], University of Illinois==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
== Thursday, April 25, [http://math.berkeley.edu/~rezakhan/ Fraydoun Rezakhanlou], UC - Berkeley==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
== Wednesday, May 1, [http://www-wt.iam.uni-bonn.de/~vetob/ Bálint Vető], University of Bonn ==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=5152Probability Seminar2013-03-13T02:34:42Z<p>Anderson: /* Thursday, April 25, Fraydoun Rezakhanlou, UC - Berkeley */</p>
<hr />
<div>__NOTOC__<br />
<br />
== Spring 2013 ==<br />
<br />
<br />
Thursdays in 901 Van Vleck Hall at 2:25 PM, unless otherwise noted. If you would like to receive announcements about upcoming seminars, please visit [https://www-old.cae.wisc.edu/mailman/listinfo/apseminar this page] to sign up for the email list.<br />
<br />
<br />
[[Past Seminars]]<br />
<br />
== Thursday, January 31, Bret Larget, UW-Madison ==<br />
<br />
Title: Approximate conditional independence of separated subtrees and phylogenetic inference<br />
<br />
Abstract:<br />
Bayesian methods to reconstruct evolutionary trees from aligned DNA<br />
sequence data from different species depend on Markov chain Monte<br />
Carlo sampling of phylogenetic trees from a posterior distribution.<br />
The probabilities of tree topologies are typically estimated with the<br />
simple relative frequencies of the trees in the sample. When the<br />
posterior distribution is spread thinly over a very large number of<br />
trees, the simple relative frequencies from finite samples are often<br />
inaccurate estimates of the posterior probabilities for many trees. We<br />
present a new method for estimating the posterior distribution on the<br />
space of trees from samples based on the approximation of conditional<br />
independence between subtrees given their separation by an edge in the<br />
tree. This approximation procedure effectively spreads the estimated<br />
posterior distribution from the sampled trees to the larger set of<br />
trees that contain clades (sets of species in subtrees) that have been<br />
sampled, even if the full tree is not part of the sample. The<br />
approximation is shown to be accurate for many data sets and is<br />
theoretically justified. We also explore a consequence of this result<br />
that may lead to substantial increases in computational efficiency for<br />
sampling trees from posterior distributions. Finally, we present an<br />
open problem to compare rates of convergence between the simple<br />
relative frequency approach and the approximation approach.<br />
<br />
==Thursday, February 14, Jean-Luc Thiffeault, UW-Madison==<br />
<br />
Title: Biomixing and large deviations<br />
<br />
Abstract: As fish, micro-organisms, or other bodies move through a fluid, they<br />
stir their surroundings. This can be beneficial to some fish, since<br />
the plankton they eat depends on a well-stirred medium to feed on<br />
nutrients. Bacterial colonies also stir their environment, and this<br />
is even more crucial for them since at small scales there is no<br />
turbulence to help mixing. I will discuss a simple model of the<br />
stirring action of moving bodies through a fluid. An attempt will be<br />
made to explain existing data on the displacements of small particles,<br />
which exhibits probability densities with exponential tails. A<br />
large-deviation approach helps to explain some of the data, but<br />
mysteries remain.<br />
<br />
== <span style="color:#FF0000"> Tuesday, March 5, 2:30pm VV B341</span>, Janosch Ortmann, University of Toronto==<br />
<br />
Title: Product-form Invariant Measures for Brownian Motion with Drift Satisfying a Skew-symmetry Type Condition<br />
<br />
Abstract: Motivated by recent developments on positive-temperature polymer models we propose a generalisation of reflected Brownian motion (RBM) in a polyhedral domain. Our process is obtained by replacing the singular drift on the boundary by a continuous one which depends, via a potential U, on the position of the process relative to the domain. We show that our generalised process has an invariant measure in product form, under a certain skew-symmetry condition that is independent of the choice of potential. Applications include TASEP-like particle systems, generalisations of Brownian motion with rank-dependent drift and diffusions connected to the generalised Pitman transform.<br />
<br />
==Thursday, March 14, Brian Rider, Temple University==<br />
<br />
Title: Universality for the stochastic Airy operator<br />
<br />
Abstract: The stochastic Airy operator (SAO) has the form second derivative plus shifted white noise potential. Its reason for being is that it describes the Tracy-Widom laws extended to "general beta" (from the original beta=1,2,4 laws tied to real, complex, and quaternion symmetries). More to the point, SAO is known to be the operator limit for certain random tridiagonal matrices which realize, for example, log-gas distributions on the line with quadratic potential (the "beta Hermite ensembles"), scaled to the edge of their spectrum. Here we show that SAO characterizes edge universality for a more general class of log-gases, defined by more general polynomial potentials beyond the quadratic case. Joint work with M. Krishnapur and B. Virag.<br />
<br />
==Thursday, March 21, Timo Seppalainen (UW Madison) ==<br />
<br />
Title: Limits of ratios of partition functions for the log-gamma polymer<br />
<br />
Abstract: For the model known as the directed polymer in a random medium, the definition of weak disorder is that normalized<br />
partition functions converge to a positive limit. In strong disorder this limit vanishes. In the log-gamma polymer we<br />
can show that ratios of point-to-point and point-to-line partition functions converge to gamma-distributed limits.<br />
One consequence of this is that the quenched polymer measure converges to a random walk in a correlated random environment.<br />
This RWRE can be regarded as a positive temperature analogue of the competition interface of last-passage percolation,<br />
or the second class particle.<br />
<br />
== Thursday, April 11, [http://math.arizona.edu/~klin/index.php Kevin Lin], University of Arizona==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
== Thursday, April 18, [http://www.math.uiuc.edu/~rdeville/ Lee DeVille], University of Illinois==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
== Thursday, April 25, [http://math.berkeley.edu/~rezakhan/ Fraydoun Rezakhanlou], UC - Berkeley==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
== Wednesday, May 1, Bálint Vető, University of Bonn ==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=5151Probability Seminar2013-03-13T02:34:08Z<p>Anderson: /* Thursday, April 18, Lee DeVille, University of Illinois */</p>
<hr />
<div>__NOTOC__<br />
<br />
== Spring 2013 ==<br />
<br />
<br />
Thursdays in 901 Van Vleck Hall at 2:25 PM, unless otherwise noted. If you would like to receive announcements about upcoming seminars, please visit [https://www-old.cae.wisc.edu/mailman/listinfo/apseminar this page] to sign up for the email list.<br />
<br />
<br />
[[Past Seminars]]<br />
<br />
== Thursday, January 31, Bret Larget, UW-Madison ==<br />
<br />
Title: Approximate conditional independence of separated subtrees and phylogenetic inference<br />
<br />
Abstract:<br />
Bayesian methods to reconstruct evolutionary trees from aligned DNA<br />
sequence data from different species depend on Markov chain Monte<br />
Carlo sampling of phylogenetic trees from a posterior distribution.<br />
The probabilities of tree topologies are typically estimated with the<br />
simple relative frequencies of the trees in the sample. When the<br />
posterior distribution is spread thinly over a very large number of<br />
trees, the simple relative frequencies from finite samples are often<br />
inaccurate estimates of the posterior probabilities for many trees. We<br />
present a new method for estimating the posterior distribution on the<br />
space of trees from samples based on the approximation of conditional<br />
independence between subtrees given their separation by an edge in the<br />
tree. This approximation procedure effectively spreads the estimated<br />
posterior distribution from the sampled trees to the larger set of<br />
trees that contain clades (sets of species in subtrees) that have been<br />
sampled, even if the full tree is not part of the sample. The<br />
approximation is shown to be accurate for many data sets and is<br />
theoretically justified. We also explore a consequence of this result<br />
that may lead to substantial increases in computational efficiency for<br />
sampling trees from posterior distributions. Finally, we present an<br />
open problem to compare rates of convergence between the simple<br />
relative frequency approach and the approximation approach.<br />
<br />
==Thursday, February 14, Jean-Luc Thiffeault, UW-Madison==<br />
<br />
Title: Biomixing and large deviations<br />
<br />
Abstract: As fish, micro-organisms, or other bodies move through a fluid, they<br />
stir their surroundings. This can be beneficial to some fish, since<br />
the plankton they eat depends on a well-stirred medium to feed on<br />
nutrients. Bacterial colonies also stir their environment, and this<br />
is even more crucial for them since at small scales there is no<br />
turbulence to help mixing. I will discuss a simple model of the<br />
stirring action of moving bodies through a fluid. An attempt will be<br />
made to explain existing data on the displacements of small particles,<br />
which exhibits probability densities with exponential tails. A<br />
large-deviation approach helps to explain some of the data, but<br />
mysteries remain.<br />
<br />
== <span style="color:#FF0000"> Tuesday, March 5, 2:30pm VV B341</span>, Janosch Ortmann, University of Toronto==<br />
<br />
Title: Product-form Invariant Measures for Brownian Motion with Drift Satisfying a Skew-symmetry Type Condition<br />
<br />
Abstract: Motivated by recent developments on positive-temperature polymer models we propose a generalisation of reflected Brownian motion (RBM) in a polyhedral domain. Our process is obtained by replacing the singular drift on the boundary by a continuous one which depends, via a potential U, on the position of the process relative to the domain. We show that our generalised process has an invariant measure in product form, under a certain skew-symmetry condition that is independent of the choice of potential. Applications include TASEP-like particle systems, generalisations of Brownian motion with rank-dependent drift and diffusions connected to the generalised Pitman transform.<br />
<br />
==Thursday, March 14, Brian Rider, Temple University==<br />
<br />
Title: Universality for the stochastic Airy operator<br />
<br />
Abstract: The stochastic Airy operator (SAO) has the form second derivative plus shifted white noise potential. Its reason for being is that it describes the Tracy-Widom laws extended to "general beta" (from the original beta=1,2,4 laws tied to real, complex, and quaternion symmetries). More to the point, SAO is known to be the operator limit for certain random tridiagonal matrices which realize, for example, log-gas distributions on the line with quadratic potential (the "beta Hermite ensembles"), scaled to the edge of their spectrum. Here we show that SAO characterizes edge universality for a more general class of log-gases, defined by more general polynomial potentials beyond the quadratic case. Joint work with M. Krishnapur and B. Virag.<br />
<br />
==Thursday, March 21, Timo Seppalainen (UW Madison) ==<br />
<br />
Title: Limits of ratios of partition functions for the log-gamma polymer<br />
<br />
Abstract: For the model known as the directed polymer in a random medium, the definition of weak disorder is that normalized<br />
partition functions converge to a positive limit. In strong disorder this limit vanishes. In the log-gamma polymer we<br />
can show that ratios of point-to-point and point-to-line partition functions converge to gamma-distributed limits.<br />
One consequence of this is that the quenched polymer measure converges to a random walk in a correlated random environment.<br />
This RWRE can be regarded as a positive temperature analogue of the competition interface of last-passage percolation,<br />
or the second class particle.<br />
<br />
== Thursday, April 11, [http://math.arizona.edu/~klin/index.php Kevin Lin], University of Arizona==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
== Thursday, April 18, [http://www.math.uiuc.edu/~rdeville/ Lee DeVille], University of Illinois==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
== Thursday, April 25, Fraydoun Rezakhanlou, UC - Berkeley==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
<br />
== Wednesday, May 1, Bálint Vető, University of Bonn ==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=5150Probability Seminar2013-03-13T02:33:37Z<p>Anderson: </p>
<hr />
<div>__NOTOC__<br />
<br />
== Spring 2013 ==<br />
<br />
<br />
Thursdays in 901 Van Vleck Hall at 2:25 PM, unless otherwise noted. If you would like to receive announcements about upcoming seminars, please visit [https://www-old.cae.wisc.edu/mailman/listinfo/apseminar this page] to sign up for the email list.<br />
<br />
<br />
[[Past Seminars]]<br />
<br />
== Thursday, January 31, Bret Larget, UW-Madison ==<br />
<br />
Title: Approximate conditional independence of separated subtrees and phylogenetic inference<br />
<br />
Abstract:<br />
Bayesian methods to reconstruct evolutionary trees from aligned DNA<br />
sequence data from different species depend on Markov chain Monte<br />
Carlo sampling of phylogenetic trees from a posterior distribution.<br />
The probabilities of tree topologies are typically estimated with the<br />
simple relative frequencies of the trees in the sample. When the<br />
posterior distribution is spread thinly over a very large number of<br />
trees, the simple relative frequencies from finite samples are often<br />
inaccurate estimates of the posterior probabilities for many trees. We<br />
present a new method for estimating the posterior distribution on the<br />
space of trees from samples based on the approximation of conditional<br />
independence between subtrees given their separation by an edge in the<br />
tree. This approximation procedure effectively spreads the estimated<br />
posterior distribution from the sampled trees to the larger set of<br />
trees that contain clades (sets of species in subtrees) that have been<br />
sampled, even if the full tree is not part of the sample. The<br />
approximation is shown to be accurate for many data sets and is<br />
theoretically justified. We also explore a consequence of this result<br />
that may lead to substantial increases in computational efficiency for<br />
sampling trees from posterior distributions. Finally, we present an<br />
open problem to compare rates of convergence between the simple<br />
relative frequency approach and the approximation approach.<br />
<br />
==Thursday, February 14, Jean-Luc Thiffeault, UW-Madison==<br />
<br />
Title: Biomixing and large deviations<br />
<br />
Abstract: As fish, micro-organisms, or other bodies move through a fluid, they<br />
stir their surroundings. This can be beneficial to some fish, since<br />
the plankton they eat depends on a well-stirred medium to feed on<br />
nutrients. Bacterial colonies also stir their environment, and this<br />
is even more crucial for them since at small scales there is no<br />
turbulence to help mixing. I will discuss a simple model of the<br />
stirring action of moving bodies through a fluid. An attempt will be<br />
made to explain existing data on the displacements of small particles,<br />
which exhibits probability densities with exponential tails. A<br />
large-deviation approach helps to explain some of the data, but<br />
mysteries remain.<br />
<br />
== <span style="color:#FF0000"> Tuesday, March 5, 2:30pm VV B341</span>, Janosch Ortmann, University of Toronto==<br />
<br />
Title: Product-form Invariant Measures for Brownian Motion with Drift Satisfying a Skew-symmetry Type Condition<br />
<br />
Abstract: Motivated by recent developments on positive-temperature polymer models we propose a generalisation of reflected Brownian motion (RBM) in a polyhedral domain. Our process is obtained by replacing the singular drift on the boundary by a continuous one which depends, via a potential U, on the position of the process relative to the domain. We show that our generalised process has an invariant measure in product form, under a certain skew-symmetry condition that is independent of the choice of potential. Applications include TASEP-like particle systems, generalisations of Brownian motion with rank-dependent drift and diffusions connected to the generalised Pitman transform.<br />
<br />
==Thursday, March 14, Brian Rider, Temple University==<br />
<br />
Title: Universality for the stochastic Airy operator<br />
<br />
Abstract: The stochastic Airy operator (SAO) has the form second derivative plus shifted white noise potential. Its reason for being is that it describes the Tracy-Widom laws extended to "general beta" (from the original beta=1,2,4 laws tied to real, complex, and quaternion symmetries). More to the point, SAO is known to be the operator limit for certain random tridiagonal matrices which realize, for example, log-gas distributions on the line with quadratic potential (the "beta Hermite ensembles"), scaled to the edge of their spectrum. Here we show that SAO characterizes edge universality for a more general class of log-gases, defined by more general polynomial potentials beyond the quadratic case. Joint work with M. Krishnapur and B. Virag.<br />
<br />
==Thursday, March 21, Timo Seppalainen (UW Madison) ==<br />
<br />
Title: Limits of ratios of partition functions for the log-gamma polymer<br />
<br />
Abstract: For the model known as the directed polymer in a random medium, the definition of weak disorder is that normalized<br />
partition functions converge to a positive limit. In strong disorder this limit vanishes. In the log-gamma polymer we<br />
can show that ratios of point-to-point and point-to-line partition functions converge to gamma-distributed limits.<br />
One consequence of this is that the quenched polymer measure converges to a random walk in a correlated random environment.<br />
This RWRE can be regarded as a positive temperature analogue of the competition interface of last-passage percolation,<br />
or the second class particle.<br />
<br />
== Thursday, April 11, [http://math.arizona.edu/~klin/index.php Kevin Lin], University of Arizona==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
== Thursday, April 18, Lee DeVille, University of Illinois==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
== Thursday, April 25, Fraydoun Rezakhanlou, UC - Berkeley==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
<br />
== Wednesday, May 1, Bálint Vető, University of Bonn ==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=5149Probability Seminar2013-03-13T02:32:23Z<p>Anderson: /* Spring 2013 */</p>
<hr />
<div>__NOTOC__<br />
<br />
== Spring 2013 ==<br />
<br />
<br />
Thursdays in 901 Van Vleck Hall at 2:25 PM, unless otherwise noted. If you would like to receive announcements about upcoming seminars, please visit [https://www-old.cae.wisc.edu/mailman/listinfo/apseminar this page] to sign up for the email list.<br />
<br />
<br />
[[Past Seminars]]<br />
<br />
== Thursday, January 31, Bret Larget, UW-Madison ==<br />
<br />
Title: Approximate conditional independence of separated subtrees and phylogenetic inference<br />
<br />
Abstract:<br />
Bayesian methods to reconstruct evolutionary trees from aligned DNA<br />
sequence data from different species depend on Markov chain Monte<br />
Carlo sampling of phylogenetic trees from a posterior distribution.<br />
The probabilities of tree topologies are typically estimated with the<br />
simple relative frequencies of the trees in the sample. When the<br />
posterior distribution is spread thinly over a very large number of<br />
trees, the simple relative frequencies from finite samples are often<br />
inaccurate estimates of the posterior probabilities for many trees. We<br />
present a new method for estimating the posterior distribution on the<br />
space of trees from samples based on the approximation of conditional<br />
independence between subtrees given their separation by an edge in the<br />
tree. This approximation procedure effectively spreads the estimated<br />
posterior distribution from the sampled trees to the larger set of<br />
trees that contain clades (sets of species in subtrees) that have been<br />
sampled, even if the full tree is not part of the sample. The<br />
approximation is shown to be accurate for many data sets and is<br />
theoretically justified. We also explore a consequence of this result<br />
that may lead to substantial increases in computational efficiency for<br />
sampling trees from posterior distributions. Finally, we present an<br />
open problem to compare rates of convergence between the simple<br />
relative frequency approach and the approximation approach.<br />
<br />
==Thursday, February 14, Jean-Luc Thiffeault, UW-Madison==<br />
<br />
Title: Biomixing and large deviations<br />
<br />
Abstract: As fish, micro-organisms, or other bodies move through a fluid, they<br />
stir their surroundings. This can be beneficial to some fish, since<br />
the plankton they eat depends on a well-stirred medium to feed on<br />
nutrients. Bacterial colonies also stir their environment, and this<br />
is even more crucial for them since at small scales there is no<br />
turbulence to help mixing. I will discuss a simple model of the<br />
stirring action of moving bodies through a fluid. An attempt will be<br />
made to explain existing data on the displacements of small particles,<br />
which exhibits probability densities with exponential tails. A<br />
large-deviation approach helps to explain some of the data, but<br />
mysteries remain.<br />
<br />
== <span style="color:#FF0000"> Tuesday, March 5, 2:30pm VV B341</span>, Janosch Ortmann, University of Toronto==<br />
<br />
Title: Product-form Invariant Measures for Brownian Motion with Drift Satisfying a Skew-symmetry Type Condition<br />
<br />
Abstract: Motivated by recent developments on positive-temperature polymer models we propose a generalisation of reflected Brownian motion (RBM) in a polyhedral domain. Our process is obtained by replacing the singular drift on the boundary by a continuous one which depends, via a potential U, on the position of the process relative to the domain. We show that our generalised process has an invariant measure in product form, under a certain skew-symmetry condition that is independent of the choice of potential. Applications include TASEP-like particle systems, generalisations of Brownian motion with rank-dependent drift and diffusions connected to the generalised Pitman transform.<br />
<br />
==Thursday, March 14, Brian Rider, Temple University==<br />
<br />
Title: Universality for the stochastic Airy operator<br />
<br />
Abstract: The stochastic Airy operator (SAO) has the form second derivative plus shifted white noise potential. Its reason for being is that it describes the Tracy-Widom laws extended to "general beta" (from the original beta=1,2,4 laws tied to real, complex, and quaternion symmetries). More to the point, SAO is known to be the operator limit for certain random tridiagonal matrices which realize, for example, log-gas distributions on the line with quadratic potential (the "beta Hermite ensembles"), scaled to the edge of their spectrum. Here we show that SAO characterizes edge universality for a more general class of log-gases, defined by more general polynomial potentials beyond the quadratic case. Joint work with M. Krishnapur and B. Virag.<br />
<br />
==Thursday, March 21, Timo Seppalainen (UW Madison) ==<br />
<br />
Title: Limits of ratios of partition functions for the log-gamma polymer<br />
<br />
Abstract: For the model known as the directed polymer in a random medium, the definition of weak disorder is that normalized<br />
partition functions converge to a positive limit. In strong disorder this limit vanishes. In the log-gamma polymer we<br />
can show that ratios of point-to-point and point-to-line partition functions converge to gamma-distributed limits.<br />
One consequence of this is that the quenched polymer measure converges to a random walk in a correlated random environment.<br />
This RWRE can be regarded as a positive temperature analogue of the competition interface of last-passage percolation,<br />
or the second class particle.<br />
<br />
== Thursday, April 11, Kevin Lin, University of Arizona==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
== Thursday, April 18, Lee DeVille, University of Illinois==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
== Thursday, April 25, Fraydoun Rezakhanlou, UC - Berkeley==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
<br />
== Wednesday, May 1, Bálint Vető, University of Bonn ==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA</div>Andersonhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=5148Probability Seminar2013-03-13T02:32:03Z<p>Anderson: /* Thursday, April 11, Kevin Lin University of Arizona */</p>
<hr />
<div>__NOTOC__<br />
<br />
== Spring 2013 ==<br />
<br />
<br />
Thursdays in 901 Van Vleck Hall at 2:25 PM, unless otherwise noted. If you would like to receive announcements about upcoming seminars, please visit [https://www-old.cae.wisc.edu/mailman/listinfo/apseminar this page] to sign up for the email list.<br />
<br />
<br />
[[Past Seminars]]<br />
<br />
<br />
<br />
== Thursday, January 31, Bret Larget, UW-Madison ==<br />
<br />
Title: Approximate conditional independence of separated subtrees and phylogenetic inference<br />
<br />
Abstract:<br />
Bayesian methods to reconstruct evolutionary trees from aligned DNA<br />
sequence data from different species depend on Markov chain Monte<br />
Carlo sampling of phylogenetic trees from a posterior distribution.<br />
The probabilities of tree topologies are typically estimated with the<br />
simple relative frequencies of the trees in the sample. When the<br />
posterior distribution is spread thinly over a very large number of<br />
trees, the simple relative frequencies from finite samples are often<br />
inaccurate estimates of the posterior probabilities for many trees. We<br />
present a new method for estimating the posterior distribution on the<br />
space of trees from samples based on the approximation of conditional<br />
independence between subtrees given their separation by an edge in the<br />
tree. This approximation procedure effectively spreads the estimated<br />
posterior distribution from the sampled trees to the larger set of<br />
trees that contain clades (sets of species in subtrees) that have been<br />
sampled, even if the full tree is not part of the sample. The<br />
approximation is shown to be accurate for many data sets and is<br />
theoretically justified. We also explore a consequence of this result<br />
that may lead to substantial increases in computational efficiency for<br />
sampling trees from posterior distributions. Finally, we present an<br />
open problem to compare rates of convergence between the simple<br />
relative frequency approach and the approximation approach.<br />
<br />
==Thursday, February 14, Jean-Luc Thiffeault, UW-Madison==<br />
<br />
Title: Biomixing and large deviations<br />
<br />
Abstract: As fish, micro-organisms, or other bodies move through a fluid, they<br />
stir their surroundings. This can be beneficial to some fish, since<br />
the plankton they eat depends on a well-stirred medium to feed on<br />
nutrients. Bacterial colonies also stir their environment, and this<br />
is even more crucial for them since at small scales there is no<br />
turbulence to help mixing. I will discuss a simple model of the<br />
stirring action of moving bodies through a fluid. An attempt will be<br />
made to explain existing data on the displacements of small particles,<br />
which exhibits probability densities with exponential tails. A<br />
large-deviation approach helps to explain some of the data, but<br />
mysteries remain.<br />
<br />
== <span style="color:#FF0000"> Tuesday, March 5, 2:30pm VV B341</span>, Janosch Ortmann, University of Toronto==<br />
<br />
Title: Product-form Invariant Measures for Brownian Motion with Drift Satisfying a Skew-symmetry Type Condition<br />
<br />
Abstract: Motivated by recent developments on positive-temperature polymer models we propose a generalisation of reflected Brownian motion (RBM) in a polyhedral domain. Our process is obtained by replacing the singular drift on the boundary by a continuous one which depends, via a potential U, on the position of the process relative to the domain. We show that our generalised process has an invariant measure in product form, under a certain skew-symmetry condition that is independent of the choice of potential. Applications include TASEP-like particle systems, generalisations of Brownian motion with rank-dependent drift and diffusions connected to the generalised Pitman transform.<br />
<br />
==Thursday, March 14, Brian Rider, Temple University==<br />
<br />
Title: Universality for the stochastic Airy operator<br />
<br />
Abstract: The stochastic Airy operator (SAO) has the form second derivative plus shifted white noise potential. Its reason for being is that it describes the Tracy-Widom laws extended to "general beta" (from the original beta=1,2,4 laws tied to real, complex, and quaternion symmetries). More to the point, SAO is known to be the operator limit for certain random tridiagonal matrices which realize, for example, log-gas distributions on the line with quadratic potential (the "beta Hermite ensembles"), scaled to the edge of their spectrum. Here we show that SAO characterizes edge universality for a more general class of log-gases, defined by more general polynomial potentials beyond the quadratic case. Joint work with M. Krishnapur and B. Virag.<br />
<br />
==Thursday, March 21, Timo Seppalainen (UW Madison) ==<br />
<br />
Title: Limits of ratios of partition functions for the log-gamma polymer<br />
<br />
Abstract: For the model known as the directed polymer in a random medium, the definition of weak disorder is that normalized<br />
partition functions converge to a positive limit. In strong disorder this limit vanishes. In the log-gamma polymer we<br />
can show that ratios of point-to-point and point-to-line partition functions converge to gamma-distributed limits.<br />
One consequence of this is that the quenched polymer measure converges to a random walk in a correlated random environment.<br />
This RWRE can be regarded as a positive temperature analogue of the competition interface of last-passage percolation,<br />
or the second class particle.<br />
<br />
== Thursday, April 11, Kevin Lin, University of Arizona==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
== Thursday, April 18, Lee DeVille, University of Illinois==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
== Thursday, April 25, Fraydoun Rezakhanlou, UC - Berkeley==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
<br />
== Wednesday, May 1, Bálint Vető, University of Bonn ==<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA</div>Anderson