https://www.math.wisc.edu/wiki/api.php?action=feedcontributions&user=Vadicgor&feedformat=atomUW-Math Wiki - User contributions [en]2020-05-27T15:49:55ZUser contributionsMediaWiki 1.30.1https://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=19350Probability Seminar2020-04-12T18:59:39Z<p>Vadicgor: /* April 30, 2020, Will Perkins (University of Illinois at Chicago) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''Sample path properties of stochastic partial differential equations: modulus of continuity and multiple points'''<br />
<br />
In this talk, we will discuss sample path properties of stochastic partial differential equations (SPDEs). We will present a sharp regularity result for the stochastic wave equation driven by an additive Gaussian noise that is white in time and colored in space. We prove the exact modulus of continuity via the property of local nondeterminism. We will also discuss the existence problem for multiple points (or self-intersections) of the sample paths of SPDEs. Our result shows that multiple points do not exist in the critical dimension for a large class of Gaussian random fields including the solution of a linear system of stochastic heat or wave equations.<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
'''Langevin Monte Carlo Without Smoothness'''<br />
<br />
Langevin Monte Carlo (LMC) is an iterative algorithm used to generate samples from a distribution that is known only up to a normalizing constant. The nonasymptotic dependence of its mixing time on the dimension and target accuracy is understood mainly in the setting of smooth (gradient-Lipschitz) log-densities, a serious limitation for applications in machine learning. We remove this limitation by providing polynomial-time convergence guarantees for a variant of LMC in the setting of non-smooth log-concave distributions. At a high level, our results follow by leveraging the implicit smoothing of the log-density that comes from a small Gaussian perturbation that we add to the iterates of the algorithm and while controlling the bias and variance that are induced by this perturbation.<br />
Based on joint work with Niladri Chatterji, Michael I. Jordan, and Peter L. Bartlett.<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
'''A replacement principle for perturbations of non-normal matrices'''<br />
<br />
There are certain non-normal matrices whose eigenvalues can change dramatically when a small perturbation is added. However, when that perturbation is an iid random matrix, it appears that the eigenvalues become stable after perturbation and only change slightly when further small perturbations are added. Much of the work is this situation has focused on iid random gaussian perturbations. In this talk, we will discuss work on a universality result that allows for consideration of non-gaussian perturbations, and that shows that all perturbations satisfying certain conditions will produce the same limiting eigenvalue measure. Interestingly, this even allows for deterministic perturbations to be considered. Joint work with Sean O'Rourke.<br />
<br />
== February 27, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' Large Deviation Principles via Spherical Integrals'''<br />
<br />
In this talk, I'll explain a framework to study the large deviation principle for matrix models and their quantized versions, by tilting the measures using the asymptotics of spherical integrals obtained by Guionnet and Zeitouni. As examples, we obtain <br />
<br />
1) the large deviation principle for the empirical distribution of the diagonal entries of $UB_NU^*$, for a sequence of $N\times N$ diagonal matrices $B_N$ and unitary/orthogonal Haar distributed matrices $U$;<br />
<br />
2) the large deviation upper bound for the empirical eigenvalue distribution of $A_N+UB_NU^*$, for two sequences of $N\times N$ diagonal matrices $A_N, B_N$, and their complementary lower bounds at "good" probability distributions;<br />
<br />
3) the large deviation principle for the Kostka number $K_{\lambda_N \eta_N}$, for two sequences of partitions $\lambda_N, \eta_N$ with at most $N$ rows;<br />
<br />
4) the large deviation upper bound for the Littlewood-Richardson coefficients $c_{\lambda_N \eta_N}^{\kappa_N}$, for three sequences of partitions $\lambda_N, \eta_N, \kappa_N$ with at most $N$ rows, and their complementary lower bounds at "good" probability distributions.<br />
<br />
This is a joint work with Belinschi and Guionnet.<br />
<br />
== March 12, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 19, 2020, Spring break ==<br />
''' '''<br />
<br />
== March 26, 2020, CANCELLED, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, CANCELLED, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, CANCELLED, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, CANCELLED, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, CANCELLED, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, CANCELLED, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, CANCELLED, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=19302Probability Seminar2020-03-24T18:51:37Z<p>Vadicgor: /* April 23, 2020, Martin Hairer (Imperial College) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''Sample path properties of stochastic partial differential equations: modulus of continuity and multiple points'''<br />
<br />
In this talk, we will discuss sample path properties of stochastic partial differential equations (SPDEs). We will present a sharp regularity result for the stochastic wave equation driven by an additive Gaussian noise that is white in time and colored in space. We prove the exact modulus of continuity via the property of local nondeterminism. We will also discuss the existence problem for multiple points (or self-intersections) of the sample paths of SPDEs. Our result shows that multiple points do not exist in the critical dimension for a large class of Gaussian random fields including the solution of a linear system of stochastic heat or wave equations.<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
'''Langevin Monte Carlo Without Smoothness'''<br />
<br />
Langevin Monte Carlo (LMC) is an iterative algorithm used to generate samples from a distribution that is known only up to a normalizing constant. The nonasymptotic dependence of its mixing time on the dimension and target accuracy is understood mainly in the setting of smooth (gradient-Lipschitz) log-densities, a serious limitation for applications in machine learning. We remove this limitation by providing polynomial-time convergence guarantees for a variant of LMC in the setting of non-smooth log-concave distributions. At a high level, our results follow by leveraging the implicit smoothing of the log-density that comes from a small Gaussian perturbation that we add to the iterates of the algorithm and while controlling the bias and variance that are induced by this perturbation.<br />
Based on joint work with Niladri Chatterji, Michael I. Jordan, and Peter L. Bartlett.<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
'''A replacement principle for perturbations of non-normal matrices'''<br />
<br />
There are certain non-normal matrices whose eigenvalues can change dramatically when a small perturbation is added. However, when that perturbation is an iid random matrix, it appears that the eigenvalues become stable after perturbation and only change slightly when further small perturbations are added. Much of the work is this situation has focused on iid random gaussian perturbations. In this talk, we will discuss work on a universality result that allows for consideration of non-gaussian perturbations, and that shows that all perturbations satisfying certain conditions will produce the same limiting eigenvalue measure. Interestingly, this even allows for deterministic perturbations to be considered. Joint work with Sean O'Rourke.<br />
<br />
== February 27, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' Large Deviation Principles via Spherical Integrals'''<br />
<br />
In this talk, I'll explain a framework to study the large deviation principle for matrix models and their quantized versions, by tilting the measures using the asymptotics of spherical integrals obtained by Guionnet and Zeitouni. As examples, we obtain <br />
<br />
1) the large deviation principle for the empirical distribution of the diagonal entries of $UB_NU^*$, for a sequence of $N\times N$ diagonal matrices $B_N$ and unitary/orthogonal Haar distributed matrices $U$;<br />
<br />
2) the large deviation upper bound for the empirical eigenvalue distribution of $A_N+UB_NU^*$, for two sequences of $N\times N$ diagonal matrices $A_N, B_N$, and their complementary lower bounds at "good" probability distributions;<br />
<br />
3) the large deviation principle for the Kostka number $K_{\lambda_N \eta_N}$, for two sequences of partitions $\lambda_N, \eta_N$ with at most $N$ rows;<br />
<br />
4) the large deviation upper bound for the Littlewood-Richardson coefficients $c_{\lambda_N \eta_N}^{\kappa_N}$, for three sequences of partitions $\lambda_N, \eta_N, \kappa_N$ with at most $N$ rows, and their complementary lower bounds at "good" probability distributions.<br />
<br />
This is a joint work with Belinschi and Guionnet.<br />
<br />
== March 12, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 19, 2020, Spring break ==<br />
''' '''<br />
<br />
== March 26, 2020, CANCELLED, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, CANCELLED, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, CANCELLED, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, CANCELLED, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, CANCELLED, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, CANCELLED, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=19275Probability Seminar2020-03-18T05:06:02Z<p>Vadicgor: /* April 2, 2020, Tianyu Liu (UW Madison) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''Sample path properties of stochastic partial differential equations: modulus of continuity and multiple points'''<br />
<br />
In this talk, we will discuss sample path properties of stochastic partial differential equations (SPDEs). We will present a sharp regularity result for the stochastic wave equation driven by an additive Gaussian noise that is white in time and colored in space. We prove the exact modulus of continuity via the property of local nondeterminism. We will also discuss the existence problem for multiple points (or self-intersections) of the sample paths of SPDEs. Our result shows that multiple points do not exist in the critical dimension for a large class of Gaussian random fields including the solution of a linear system of stochastic heat or wave equations.<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
'''Langevin Monte Carlo Without Smoothness'''<br />
<br />
Langevin Monte Carlo (LMC) is an iterative algorithm used to generate samples from a distribution that is known only up to a normalizing constant. The nonasymptotic dependence of its mixing time on the dimension and target accuracy is understood mainly in the setting of smooth (gradient-Lipschitz) log-densities, a serious limitation for applications in machine learning. We remove this limitation by providing polynomial-time convergence guarantees for a variant of LMC in the setting of non-smooth log-concave distributions. At a high level, our results follow by leveraging the implicit smoothing of the log-density that comes from a small Gaussian perturbation that we add to the iterates of the algorithm and while controlling the bias and variance that are induced by this perturbation.<br />
Based on joint work with Niladri Chatterji, Michael I. Jordan, and Peter L. Bartlett.<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
'''A replacement principle for perturbations of non-normal matrices'''<br />
<br />
There are certain non-normal matrices whose eigenvalues can change dramatically when a small perturbation is added. However, when that perturbation is an iid random matrix, it appears that the eigenvalues become stable after perturbation and only change slightly when further small perturbations are added. Much of the work is this situation has focused on iid random gaussian perturbations. In this talk, we will discuss work on a universality result that allows for consideration of non-gaussian perturbations, and that shows that all perturbations satisfying certain conditions will produce the same limiting eigenvalue measure. Interestingly, this even allows for deterministic perturbations to be considered. Joint work with Sean O'Rourke.<br />
<br />
== February 27, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' Large Deviation Principles via Spherical Integrals'''<br />
<br />
In this talk, I'll explain a framework to study the large deviation principle for matrix models and their quantized versions, by tilting the measures using the asymptotics of spherical integrals obtained by Guionnet and Zeitouni. As examples, we obtain <br />
<br />
1) the large deviation principle for the empirical distribution of the diagonal entries of $UB_NU^*$, for a sequence of $N\times N$ diagonal matrices $B_N$ and unitary/orthogonal Haar distributed matrices $U$;<br />
<br />
2) the large deviation upper bound for the empirical eigenvalue distribution of $A_N+UB_NU^*$, for two sequences of $N\times N$ diagonal matrices $A_N, B_N$, and their complementary lower bounds at "good" probability distributions;<br />
<br />
3) the large deviation principle for the Kostka number $K_{\lambda_N \eta_N}$, for two sequences of partitions $\lambda_N, \eta_N$ with at most $N$ rows;<br />
<br />
4) the large deviation upper bound for the Littlewood-Richardson coefficients $c_{\lambda_N \eta_N}^{\kappa_N}$, for three sequences of partitions $\lambda_N, \eta_N, \kappa_N$ with at most $N$ rows, and their complementary lower bounds at "good" probability distributions.<br />
<br />
This is a joint work with Belinschi and Guionnet.<br />
<br />
== March 12, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 19, 2020, Spring break ==<br />
''' '''<br />
<br />
== March 26, 2020, CANCELLED, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, CANCELLED, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, CANCELLED, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, CANCELLED, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, CANCELLED, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=19267Probability Seminar2020-03-13T19:07:48Z<p>Vadicgor: /* April 22-24, 2020, FRG Integrable Probability meeting */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''Sample path properties of stochastic partial differential equations: modulus of continuity and multiple points'''<br />
<br />
In this talk, we will discuss sample path properties of stochastic partial differential equations (SPDEs). We will present a sharp regularity result for the stochastic wave equation driven by an additive Gaussian noise that is white in time and colored in space. We prove the exact modulus of continuity via the property of local nondeterminism. We will also discuss the existence problem for multiple points (or self-intersections) of the sample paths of SPDEs. Our result shows that multiple points do not exist in the critical dimension for a large class of Gaussian random fields including the solution of a linear system of stochastic heat or wave equations.<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
'''Langevin Monte Carlo Without Smoothness'''<br />
<br />
Langevin Monte Carlo (LMC) is an iterative algorithm used to generate samples from a distribution that is known only up to a normalizing constant. The nonasymptotic dependence of its mixing time on the dimension and target accuracy is understood mainly in the setting of smooth (gradient-Lipschitz) log-densities, a serious limitation for applications in machine learning. We remove this limitation by providing polynomial-time convergence guarantees for a variant of LMC in the setting of non-smooth log-concave distributions. At a high level, our results follow by leveraging the implicit smoothing of the log-density that comes from a small Gaussian perturbation that we add to the iterates of the algorithm and while controlling the bias and variance that are induced by this perturbation.<br />
Based on joint work with Niladri Chatterji, Michael I. Jordan, and Peter L. Bartlett.<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
'''A replacement principle for perturbations of non-normal matrices'''<br />
<br />
There are certain non-normal matrices whose eigenvalues can change dramatically when a small perturbation is added. However, when that perturbation is an iid random matrix, it appears that the eigenvalues become stable after perturbation and only change slightly when further small perturbations are added. Much of the work is this situation has focused on iid random gaussian perturbations. In this talk, we will discuss work on a universality result that allows for consideration of non-gaussian perturbations, and that shows that all perturbations satisfying certain conditions will produce the same limiting eigenvalue measure. Interestingly, this even allows for deterministic perturbations to be considered. Joint work with Sean O'Rourke.<br />
<br />
== February 27, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' Large Deviation Principles via Spherical Integrals'''<br />
<br />
In this talk, I'll explain a framework to study the large deviation principle for matrix models and their quantized versions, by tilting the measures using the asymptotics of spherical integrals obtained by Guionnet and Zeitouni. As examples, we obtain <br />
<br />
1) the large deviation principle for the empirical distribution of the diagonal entries of $UB_NU^*$, for a sequence of $N\times N$ diagonal matrices $B_N$ and unitary/orthogonal Haar distributed matrices $U$;<br />
<br />
2) the large deviation upper bound for the empirical eigenvalue distribution of $A_N+UB_NU^*$, for two sequences of $N\times N$ diagonal matrices $A_N, B_N$, and their complementary lower bounds at "good" probability distributions;<br />
<br />
3) the large deviation principle for the Kostka number $K_{\lambda_N \eta_N}$, for two sequences of partitions $\lambda_N, \eta_N$ with at most $N$ rows;<br />
<br />
4) the large deviation upper bound for the Littlewood-Richardson coefficients $c_{\lambda_N \eta_N}^{\kappa_N}$, for three sequences of partitions $\lambda_N, \eta_N, \kappa_N$ with at most $N$ rows, and their complementary lower bounds at "good" probability distributions.<br />
<br />
This is a joint work with Belinschi and Guionnet.<br />
<br />
== March 12, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 19, 2020, Spring break ==<br />
''' '''<br />
<br />
== March 26, 2020, CANCELLED, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, CANCELLED, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, CANCELLED, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, CANCELLED, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=19240Probability Seminar2020-03-12T02:10:15Z<p>Vadicgor: /* March 26, 2020, Philippe Sosoe (Cornell) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''Sample path properties of stochastic partial differential equations: modulus of continuity and multiple points'''<br />
<br />
In this talk, we will discuss sample path properties of stochastic partial differential equations (SPDEs). We will present a sharp regularity result for the stochastic wave equation driven by an additive Gaussian noise that is white in time and colored in space. We prove the exact modulus of continuity via the property of local nondeterminism. We will also discuss the existence problem for multiple points (or self-intersections) of the sample paths of SPDEs. Our result shows that multiple points do not exist in the critical dimension for a large class of Gaussian random fields including the solution of a linear system of stochastic heat or wave equations.<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
'''Langevin Monte Carlo Without Smoothness'''<br />
<br />
Langevin Monte Carlo (LMC) is an iterative algorithm used to generate samples from a distribution that is known only up to a normalizing constant. The nonasymptotic dependence of its mixing time on the dimension and target accuracy is understood mainly in the setting of smooth (gradient-Lipschitz) log-densities, a serious limitation for applications in machine learning. We remove this limitation by providing polynomial-time convergence guarantees for a variant of LMC in the setting of non-smooth log-concave distributions. At a high level, our results follow by leveraging the implicit smoothing of the log-density that comes from a small Gaussian perturbation that we add to the iterates of the algorithm and while controlling the bias and variance that are induced by this perturbation.<br />
Based on joint work with Niladri Chatterji, Michael I. Jordan, and Peter L. Bartlett.<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
'''A replacement principle for perturbations of non-normal matrices'''<br />
<br />
There are certain non-normal matrices whose eigenvalues can change dramatically when a small perturbation is added. However, when that perturbation is an iid random matrix, it appears that the eigenvalues become stable after perturbation and only change slightly when further small perturbations are added. Much of the work is this situation has focused on iid random gaussian perturbations. In this talk, we will discuss work on a universality result that allows for consideration of non-gaussian perturbations, and that shows that all perturbations satisfying certain conditions will produce the same limiting eigenvalue measure. Interestingly, this even allows for deterministic perturbations to be considered. Joint work with Sean O'Rourke.<br />
<br />
== February 27, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' Large Deviation Principles via Spherical Integrals'''<br />
<br />
In this talk, I'll explain a framework to study the large deviation principle for matrix models and their quantized versions, by tilting the measures using the asymptotics of spherical integrals obtained by Guionnet and Zeitouni. As examples, we obtain <br />
<br />
1) the large deviation principle for the empirical distribution of the diagonal entries of $UB_NU^*$, for a sequence of $N\times N$ diagonal matrices $B_N$ and unitary/orthogonal Haar distributed matrices $U$;<br />
<br />
2) the large deviation upper bound for the empirical eigenvalue distribution of $A_N+UB_NU^*$, for two sequences of $N\times N$ diagonal matrices $A_N, B_N$, and their complementary lower bounds at "good" probability distributions;<br />
<br />
3) the large deviation principle for the Kostka number $K_{\lambda_N \eta_N}$, for two sequences of partitions $\lambda_N, \eta_N$ with at most $N$ rows;<br />
<br />
4) the large deviation upper bound for the Littlewood-Richardson coefficients $c_{\lambda_N \eta_N}^{\kappa_N}$, for three sequences of partitions $\lambda_N, \eta_N, \kappa_N$ with at most $N$ rows, and their complementary lower bounds at "good" probability distributions.<br />
<br />
This is a joint work with Belinschi and Guionnet.<br />
<br />
== March 12, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 19, 2020, Spring break ==<br />
''' '''<br />
<br />
== March 26, 2020, CANCELLED, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, CANCELLED, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, CANCELLED, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=19239Probability Seminar2020-03-12T02:10:06Z<p>Vadicgor: /* April 9, 2020, Alexander Dunlap (Stanford) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''Sample path properties of stochastic partial differential equations: modulus of continuity and multiple points'''<br />
<br />
In this talk, we will discuss sample path properties of stochastic partial differential equations (SPDEs). We will present a sharp regularity result for the stochastic wave equation driven by an additive Gaussian noise that is white in time and colored in space. We prove the exact modulus of continuity via the property of local nondeterminism. We will also discuss the existence problem for multiple points (or self-intersections) of the sample paths of SPDEs. Our result shows that multiple points do not exist in the critical dimension for a large class of Gaussian random fields including the solution of a linear system of stochastic heat or wave equations.<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
'''Langevin Monte Carlo Without Smoothness'''<br />
<br />
Langevin Monte Carlo (LMC) is an iterative algorithm used to generate samples from a distribution that is known only up to a normalizing constant. The nonasymptotic dependence of its mixing time on the dimension and target accuracy is understood mainly in the setting of smooth (gradient-Lipschitz) log-densities, a serious limitation for applications in machine learning. We remove this limitation by providing polynomial-time convergence guarantees for a variant of LMC in the setting of non-smooth log-concave distributions. At a high level, our results follow by leveraging the implicit smoothing of the log-density that comes from a small Gaussian perturbation that we add to the iterates of the algorithm and while controlling the bias and variance that are induced by this perturbation.<br />
Based on joint work with Niladri Chatterji, Michael I. Jordan, and Peter L. Bartlett.<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
'''A replacement principle for perturbations of non-normal matrices'''<br />
<br />
There are certain non-normal matrices whose eigenvalues can change dramatically when a small perturbation is added. However, when that perturbation is an iid random matrix, it appears that the eigenvalues become stable after perturbation and only change slightly when further small perturbations are added. Much of the work is this situation has focused on iid random gaussian perturbations. In this talk, we will discuss work on a universality result that allows for consideration of non-gaussian perturbations, and that shows that all perturbations satisfying certain conditions will produce the same limiting eigenvalue measure. Interestingly, this even allows for deterministic perturbations to be considered. Joint work with Sean O'Rourke.<br />
<br />
== February 27, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' Large Deviation Principles via Spherical Integrals'''<br />
<br />
In this talk, I'll explain a framework to study the large deviation principle for matrix models and their quantized versions, by tilting the measures using the asymptotics of spherical integrals obtained by Guionnet and Zeitouni. As examples, we obtain <br />
<br />
1) the large deviation principle for the empirical distribution of the diagonal entries of $UB_NU^*$, for a sequence of $N\times N$ diagonal matrices $B_N$ and unitary/orthogonal Haar distributed matrices $U$;<br />
<br />
2) the large deviation upper bound for the empirical eigenvalue distribution of $A_N+UB_NU^*$, for two sequences of $N\times N$ diagonal matrices $A_N, B_N$, and their complementary lower bounds at "good" probability distributions;<br />
<br />
3) the large deviation principle for the Kostka number $K_{\lambda_N \eta_N}$, for two sequences of partitions $\lambda_N, \eta_N$ with at most $N$ rows;<br />
<br />
4) the large deviation upper bound for the Littlewood-Richardson coefficients $c_{\lambda_N \eta_N}^{\kappa_N}$, for three sequences of partitions $\lambda_N, \eta_N, \kappa_N$ with at most $N$ rows, and their complementary lower bounds at "good" probability distributions.<br />
<br />
This is a joint work with Belinschi and Guionnet.<br />
<br />
== March 12, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 19, 2020, Spring break ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, CANCELLED, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, CANCELLED, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=19227Probability Seminar2020-03-10T14:54:27Z<p>Vadicgor: /* April 16, 2020, CANCELLED Jian Ding (University of Pennsylvania) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''Sample path properties of stochastic partial differential equations: modulus of continuity and multiple points'''<br />
<br />
In this talk, we will discuss sample path properties of stochastic partial differential equations (SPDEs). We will present a sharp regularity result for the stochastic wave equation driven by an additive Gaussian noise that is white in time and colored in space. We prove the exact modulus of continuity via the property of local nondeterminism. We will also discuss the existence problem for multiple points (or self-intersections) of the sample paths of SPDEs. Our result shows that multiple points do not exist in the critical dimension for a large class of Gaussian random fields including the solution of a linear system of stochastic heat or wave equations.<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
'''Langevin Monte Carlo Without Smoothness'''<br />
<br />
Langevin Monte Carlo (LMC) is an iterative algorithm used to generate samples from a distribution that is known only up to a normalizing constant. The nonasymptotic dependence of its mixing time on the dimension and target accuracy is understood mainly in the setting of smooth (gradient-Lipschitz) log-densities, a serious limitation for applications in machine learning. We remove this limitation by providing polynomial-time convergence guarantees for a variant of LMC in the setting of non-smooth log-concave distributions. At a high level, our results follow by leveraging the implicit smoothing of the log-density that comes from a small Gaussian perturbation that we add to the iterates of the algorithm and while controlling the bias and variance that are induced by this perturbation.<br />
Based on joint work with Niladri Chatterji, Michael I. Jordan, and Peter L. Bartlett.<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
'''A replacement principle for perturbations of non-normal matrices'''<br />
<br />
There are certain non-normal matrices whose eigenvalues can change dramatically when a small perturbation is added. However, when that perturbation is an iid random matrix, it appears that the eigenvalues become stable after perturbation and only change slightly when further small perturbations are added. Much of the work is this situation has focused on iid random gaussian perturbations. In this talk, we will discuss work on a universality result that allows for consideration of non-gaussian perturbations, and that shows that all perturbations satisfying certain conditions will produce the same limiting eigenvalue measure. Interestingly, this even allows for deterministic perturbations to be considered. Joint work with Sean O'Rourke.<br />
<br />
== February 27, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' Large Deviation Principles via Spherical Integrals'''<br />
<br />
In this talk, I'll explain a framework to study the large deviation principle for matrix models and their quantized versions, by tilting the measures using the asymptotics of spherical integrals obtained by Guionnet and Zeitouni. As examples, we obtain <br />
<br />
1) the large deviation principle for the empirical distribution of the diagonal entries of $UB_NU^*$, for a sequence of $N\times N$ diagonal matrices $B_N$ and unitary/orthogonal Haar distributed matrices $U$;<br />
<br />
2) the large deviation upper bound for the empirical eigenvalue distribution of $A_N+UB_NU^*$, for two sequences of $N\times N$ diagonal matrices $A_N, B_N$, and their complementary lower bounds at "good" probability distributions;<br />
<br />
3) the large deviation principle for the Kostka number $K_{\lambda_N \eta_N}$, for two sequences of partitions $\lambda_N, \eta_N$ with at most $N$ rows;<br />
<br />
4) the large deviation upper bound for the Littlewood-Richardson coefficients $c_{\lambda_N \eta_N}^{\kappa_N}$, for three sequences of partitions $\lambda_N, \eta_N, \kappa_N$ with at most $N$ rows, and their complementary lower bounds at "good" probability distributions.<br />
<br />
This is a joint work with Belinschi and Guionnet.<br />
<br />
== March 12, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 19, 2020, Spring break ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, CANCELLED, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=19226Probability Seminar2020-03-10T14:54:16Z<p>Vadicgor: /* April 16, 2020, Jian Ding (University of Pennsylvania) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''Sample path properties of stochastic partial differential equations: modulus of continuity and multiple points'''<br />
<br />
In this talk, we will discuss sample path properties of stochastic partial differential equations (SPDEs). We will present a sharp regularity result for the stochastic wave equation driven by an additive Gaussian noise that is white in time and colored in space. We prove the exact modulus of continuity via the property of local nondeterminism. We will also discuss the existence problem for multiple points (or self-intersections) of the sample paths of SPDEs. Our result shows that multiple points do not exist in the critical dimension for a large class of Gaussian random fields including the solution of a linear system of stochastic heat or wave equations.<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
'''Langevin Monte Carlo Without Smoothness'''<br />
<br />
Langevin Monte Carlo (LMC) is an iterative algorithm used to generate samples from a distribution that is known only up to a normalizing constant. The nonasymptotic dependence of its mixing time on the dimension and target accuracy is understood mainly in the setting of smooth (gradient-Lipschitz) log-densities, a serious limitation for applications in machine learning. We remove this limitation by providing polynomial-time convergence guarantees for a variant of LMC in the setting of non-smooth log-concave distributions. At a high level, our results follow by leveraging the implicit smoothing of the log-density that comes from a small Gaussian perturbation that we add to the iterates of the algorithm and while controlling the bias and variance that are induced by this perturbation.<br />
Based on joint work with Niladri Chatterji, Michael I. Jordan, and Peter L. Bartlett.<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
'''A replacement principle for perturbations of non-normal matrices'''<br />
<br />
There are certain non-normal matrices whose eigenvalues can change dramatically when a small perturbation is added. However, when that perturbation is an iid random matrix, it appears that the eigenvalues become stable after perturbation and only change slightly when further small perturbations are added. Much of the work is this situation has focused on iid random gaussian perturbations. In this talk, we will discuss work on a universality result that allows for consideration of non-gaussian perturbations, and that shows that all perturbations satisfying certain conditions will produce the same limiting eigenvalue measure. Interestingly, this even allows for deterministic perturbations to be considered. Joint work with Sean O'Rourke.<br />
<br />
== February 27, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' Large Deviation Principles via Spherical Integrals'''<br />
<br />
In this talk, I'll explain a framework to study the large deviation principle for matrix models and their quantized versions, by tilting the measures using the asymptotics of spherical integrals obtained by Guionnet and Zeitouni. As examples, we obtain <br />
<br />
1) the large deviation principle for the empirical distribution of the diagonal entries of $UB_NU^*$, for a sequence of $N\times N$ diagonal matrices $B_N$ and unitary/orthogonal Haar distributed matrices $U$;<br />
<br />
2) the large deviation upper bound for the empirical eigenvalue distribution of $A_N+UB_NU^*$, for two sequences of $N\times N$ diagonal matrices $A_N, B_N$, and their complementary lower bounds at "good" probability distributions;<br />
<br />
3) the large deviation principle for the Kostka number $K_{\lambda_N \eta_N}$, for two sequences of partitions $\lambda_N, \eta_N$ with at most $N$ rows;<br />
<br />
4) the large deviation upper bound for the Littlewood-Richardson coefficients $c_{\lambda_N \eta_N}^{\kappa_N}$, for three sequences of partitions $\lambda_N, \eta_N, \kappa_N$ with at most $N$ rows, and their complementary lower bounds at "good" probability distributions.<br />
<br />
This is a joint work with Belinschi and Guionnet.<br />
<br />
== March 12, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 19, 2020, Spring break ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, CANCELLED [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=19126Probability Seminar2020-02-25T03:58:44Z<p>Vadicgor: /* March 5, 2020, Jiaoyang Huang (IAS) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''Sample path properties of stochastic partial differential equations: modulus of continuity and multiple points'''<br />
<br />
In this talk, we will discuss sample path properties of stochastic partial differential equations (SPDEs). We will present a sharp regularity result for the stochastic wave equation driven by an additive Gaussian noise that is white in time and colored in space. We prove the exact modulus of continuity via the property of local nondeterminism. We will also discuss the existence problem for multiple points (or self-intersections) of the sample paths of SPDEs. Our result shows that multiple points do not exist in the critical dimension for a large class of Gaussian random fields including the solution of a linear system of stochastic heat or wave equations.<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
'''Langevin Monte Carlo Without Smoothness'''<br />
<br />
Langevin Monte Carlo (LMC) is an iterative algorithm used to generate samples from a distribution that is known only up to a normalizing constant. The nonasymptotic dependence of its mixing time on the dimension and target accuracy is understood mainly in the setting of smooth (gradient-Lipschitz) log-densities, a serious limitation for applications in machine learning. We remove this limitation by providing polynomial-time convergence guarantees for a variant of LMC in the setting of non-smooth log-concave distributions. At a high level, our results follow by leveraging the implicit smoothing of the log-density that comes from a small Gaussian perturbation that we add to the iterates of the algorithm and while controlling the bias and variance that are induced by this perturbation.<br />
Based on joint work with Niladri Chatterji, Michael I. Jordan, and Peter L. Bartlett.<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
'''A replacement principle for perturbations of non-normal matrices'''<br />
<br />
There are certain non-normal matrices whose eigenvalues can change dramatically when a small perturbation is added. However, when that perturbation is an iid random matrix, it appears that the eigenvalues become stable after perturbation and only change slightly when further small perturbations are added. Much of the work is this situation has focused on iid random gaussian perturbations. In this talk, we will discuss work on a universality result that allows for consideration of non-gaussian perturbations, and that shows that all perturbations satisfying certain conditions will produce the same limiting eigenvalue measure. Interestingly, this even allows for deterministic perturbations to be considered. Joint work with Sean O'Rourke.<br />
<br />
== February 27, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' Large Deviation Principles via Spherical Integrals'''<br />
<br />
In this talk, I'll explain a framework to study the large deviation principle for matrix models and their quantized versions, by tilting the measures using the asymptotics of spherical integrals obtained by Guionnet and Zeitouni. As examples, we obtain <br />
<br />
1) the large deviation principle for the empirical distribution of the diagonal entries of $UB_NU^*$, for a sequence of $N\times N$ diagonal matrices $B_N$ and unitary/orthogonal Haar distributed matrices $U$;<br />
<br />
2) the large deviation upper bound for the empirical eigenvalue distribution of $A_N+UB_NU^*$, for two sequences of $N\times N$ diagonal matrices $A_N, B_N$, and their complementary lower bounds at "good" probability distributions;<br />
<br />
3) the large deviation principle for the Kostka number $K_{\lambda_N \eta_N}$, for two sequences of partitions $\lambda_N, \eta_N$ with at most $N$ rows;<br />
<br />
4) the large deviation upper bound for the Littlewood-Richardson coefficients $c_{\lambda_N \eta_N}^{\kappa_N}$, for three sequences of partitions $\lambda_N, \eta_N, \kappa_N$ with at most $N$ rows, and their complementary lower bounds at "good" probability distributions.<br />
<br />
This is a joint work with Belinschi and Guionnet.<br />
<br />
== March 12, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 19, 2020, Spring break ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=19074Probability Seminar2020-02-20T04:53:08Z<p>Vadicgor: /* March 5, 2020, Jiaoyang Huang (IAS) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''Sample path properties of stochastic partial differential equations: modulus of continuity and multiple points'''<br />
<br />
In this talk, we will discuss sample path properties of stochastic partial differential equations (SPDEs). We will present a sharp regularity result for the stochastic wave equation driven by an additive Gaussian noise that is white in time and colored in space. We prove the exact modulus of continuity via the property of local nondeterminism. We will also discuss the existence problem for multiple points (or self-intersections) of the sample paths of SPDEs. Our result shows that multiple points do not exist in the critical dimension for a large class of Gaussian random fields including the solution of a linear system of stochastic heat or wave equations.<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
'''Langevin Monte Carlo Without Smoothness'''<br />
<br />
Langevin Monte Carlo (LMC) is an iterative algorithm used to generate samples from a distribution that is known only up to a normalizing constant. The nonasymptotic dependence of its mixing time on the dimension and target accuracy is understood mainly in the setting of smooth (gradient-Lipschitz) log-densities, a serious limitation for applications in machine learning. We remove this limitation by providing polynomial-time convergence guarantees for a variant of LMC in the setting of non-smooth log-concave distributions. At a high level, our results follow by leveraging the implicit smoothing of the log-density that comes from a small Gaussian perturbation that we add to the iterates of the algorithm and while controlling the bias and variance that are induced by this perturbation.<br />
Based on joint work with Niladri Chatterji, Michael I. Jordan, and Peter L. Bartlett.<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
'''A replacement principle for perturbations of non-normal matrices'''<br />
<br />
There are certain non-normal matrices whose eigenvalues can change dramatically when a small perturbation is added. However, when that perturbation is an iid random matrix, it appears that the eigenvalues become stable after perturbation and only change slightly when further small perturbations are added. Much of the work is this situation has focused on iid random gaussian perturbations. In this talk, we will discuss work on a universality result that allows for consideration of non-gaussian perturbations, and that shows that all perturbations satisfying certain conditions will produce the same limiting eigenvalue measure. Interestingly, this even allows for deterministic perturbations to be considered. Joint work with Sean O'Rourke.<br />
<br />
== February 27, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' Large Deviation Principles via Spherical Integrals'''<br />
<br />
In this talk, I'll explain a framework to study the large deviation principle for matrix models and their quantized versions, by tilting the measures using the asymptotics of spherical integrals obtained by Guionnet and Zeitouni. As examples, we obtain <br />
<br />
1) the large deviation principle for the empirical distribution of the diagonal entries of $UB_NU^*$, for a sequence of $N\times N$ diagonal matrices $B_N$ and unitary/orthogonal Haar distributed matrices $U$;<br />
<br />
2) the large deviation upper bound for the empirical eigenvalue distribution of $A_N+UB_NU^*$, for two sequences of $N\times N$ diagonal matrices $A_N, B_N$, and their complementary lower bounds at "good'' probability distributions;<br />
<br />
3) the large deviation principle for the Kostka number $K_{\lambda_N \eta_N}$, for two sequences of partitions $\lambda_N, \eta_N$ with at most $N$ rows;<br />
<br />
4) the large deviation upper bound for the Littlewood-Richardson coefficients $c_{\lambda_N \eta_N}^{\kappa_N}$, for three sequences of partitions $\lambda_N, \eta_N, \kappa_N$ with at most $N$ rows, and their complementary lower bounds at "good'' probability distributions.<br />
<br />
This is a joint work with Belinschi and Guionnet.<br />
<br />
== March 12, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 19, 2020, Spring break ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=19073Probability Seminar2020-02-20T04:51:59Z<p>Vadicgor: /* March 5, 2020, Jiaoyang Huang (IAS) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''Sample path properties of stochastic partial differential equations: modulus of continuity and multiple points'''<br />
<br />
In this talk, we will discuss sample path properties of stochastic partial differential equations (SPDEs). We will present a sharp regularity result for the stochastic wave equation driven by an additive Gaussian noise that is white in time and colored in space. We prove the exact modulus of continuity via the property of local nondeterminism. We will also discuss the existence problem for multiple points (or self-intersections) of the sample paths of SPDEs. Our result shows that multiple points do not exist in the critical dimension for a large class of Gaussian random fields including the solution of a linear system of stochastic heat or wave equations.<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
'''Langevin Monte Carlo Without Smoothness'''<br />
<br />
Langevin Monte Carlo (LMC) is an iterative algorithm used to generate samples from a distribution that is known only up to a normalizing constant. The nonasymptotic dependence of its mixing time on the dimension and target accuracy is understood mainly in the setting of smooth (gradient-Lipschitz) log-densities, a serious limitation for applications in machine learning. We remove this limitation by providing polynomial-time convergence guarantees for a variant of LMC in the setting of non-smooth log-concave distributions. At a high level, our results follow by leveraging the implicit smoothing of the log-density that comes from a small Gaussian perturbation that we add to the iterates of the algorithm and while controlling the bias and variance that are induced by this perturbation.<br />
Based on joint work with Niladri Chatterji, Michael I. Jordan, and Peter L. Bartlett.<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
'''A replacement principle for perturbations of non-normal matrices'''<br />
<br />
There are certain non-normal matrices whose eigenvalues can change dramatically when a small perturbation is added. However, when that perturbation is an iid random matrix, it appears that the eigenvalues become stable after perturbation and only change slightly when further small perturbations are added. Much of the work is this situation has focused on iid random gaussian perturbations. In this talk, we will discuss work on a universality result that allows for consideration of non-gaussian perturbations, and that shows that all perturbations satisfying certain conditions will produce the same limiting eigenvalue measure. Interestingly, this even allows for deterministic perturbations to be considered. Joint work with Sean O'Rourke.<br />
<br />
== February 27, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' Large Deviation Principles via Spherical Integrals'''<br />
<br />
== March 12, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 19, 2020, Spring break ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=19072Probability Seminar2020-02-20T04:51:52Z<p>Vadicgor: /* March 5, 2020, Jiaoyang Huang (IAS) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''Sample path properties of stochastic partial differential equations: modulus of continuity and multiple points'''<br />
<br />
In this talk, we will discuss sample path properties of stochastic partial differential equations (SPDEs). We will present a sharp regularity result for the stochastic wave equation driven by an additive Gaussian noise that is white in time and colored in space. We prove the exact modulus of continuity via the property of local nondeterminism. We will also discuss the existence problem for multiple points (or self-intersections) of the sample paths of SPDEs. Our result shows that multiple points do not exist in the critical dimension for a large class of Gaussian random fields including the solution of a linear system of stochastic heat or wave equations.<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
'''Langevin Monte Carlo Without Smoothness'''<br />
<br />
Langevin Monte Carlo (LMC) is an iterative algorithm used to generate samples from a distribution that is known only up to a normalizing constant. The nonasymptotic dependence of its mixing time on the dimension and target accuracy is understood mainly in the setting of smooth (gradient-Lipschitz) log-densities, a serious limitation for applications in machine learning. We remove this limitation by providing polynomial-time convergence guarantees for a variant of LMC in the setting of non-smooth log-concave distributions. At a high level, our results follow by leveraging the implicit smoothing of the log-density that comes from a small Gaussian perturbation that we add to the iterates of the algorithm and while controlling the bias and variance that are induced by this perturbation.<br />
Based on joint work with Niladri Chatterji, Michael I. Jordan, and Peter L. Bartlett.<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
'''A replacement principle for perturbations of non-normal matrices'''<br />
<br />
There are certain non-normal matrices whose eigenvalues can change dramatically when a small perturbation is added. However, when that perturbation is an iid random matrix, it appears that the eigenvalues become stable after perturbation and only change slightly when further small perturbations are added. Much of the work is this situation has focused on iid random gaussian perturbations. In this talk, we will discuss work on a universality result that allows for consideration of non-gaussian perturbations, and that shows that all perturbations satisfying certain conditions will produce the same limiting eigenvalue measure. Interestingly, this even allows for deterministic perturbations to be considered. Joint work with Sean O'Rourke.<br />
<br />
== February 27, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' Large Deviation Principles via Spherical Integrals'''<br />
<br />
$\lambda$<br />
<br />
== March 12, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 19, 2020, Spring break ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=19071Probability Seminar2020-02-20T04:50:32Z<p>Vadicgor: /* March 5, 2020, Jiaoyang Huang (IAS) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''Sample path properties of stochastic partial differential equations: modulus of continuity and multiple points'''<br />
<br />
In this talk, we will discuss sample path properties of stochastic partial differential equations (SPDEs). We will present a sharp regularity result for the stochastic wave equation driven by an additive Gaussian noise that is white in time and colored in space. We prove the exact modulus of continuity via the property of local nondeterminism. We will also discuss the existence problem for multiple points (or self-intersections) of the sample paths of SPDEs. Our result shows that multiple points do not exist in the critical dimension for a large class of Gaussian random fields including the solution of a linear system of stochastic heat or wave equations.<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
'''Langevin Monte Carlo Without Smoothness'''<br />
<br />
Langevin Monte Carlo (LMC) is an iterative algorithm used to generate samples from a distribution that is known only up to a normalizing constant. The nonasymptotic dependence of its mixing time on the dimension and target accuracy is understood mainly in the setting of smooth (gradient-Lipschitz) log-densities, a serious limitation for applications in machine learning. We remove this limitation by providing polynomial-time convergence guarantees for a variant of LMC in the setting of non-smooth log-concave distributions. At a high level, our results follow by leveraging the implicit smoothing of the log-density that comes from a small Gaussian perturbation that we add to the iterates of the algorithm and while controlling the bias and variance that are induced by this perturbation.<br />
Based on joint work with Niladri Chatterji, Michael I. Jordan, and Peter L. Bartlett.<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
'''A replacement principle for perturbations of non-normal matrices'''<br />
<br />
There are certain non-normal matrices whose eigenvalues can change dramatically when a small perturbation is added. However, when that perturbation is an iid random matrix, it appears that the eigenvalues become stable after perturbation and only change slightly when further small perturbations are added. Much of the work is this situation has focused on iid random gaussian perturbations. In this talk, we will discuss work on a universality result that allows for consideration of non-gaussian perturbations, and that shows that all perturbations satisfying certain conditions will produce the same limiting eigenvalue measure. Interestingly, this even allows for deterministic perturbations to be considered. Joint work with Sean O'Rourke.<br />
<br />
== February 27, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' Large Deviation Principles via Spherical Integrals'''<br />
<br />
== March 12, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 19, 2020, Spring break ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=19070Probability Seminar2020-02-20T04:49:43Z<p>Vadicgor: /* March 5, 2020, Jiaoyang Huang (IAS) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''Sample path properties of stochastic partial differential equations: modulus of continuity and multiple points'''<br />
<br />
In this talk, we will discuss sample path properties of stochastic partial differential equations (SPDEs). We will present a sharp regularity result for the stochastic wave equation driven by an additive Gaussian noise that is white in time and colored in space. We prove the exact modulus of continuity via the property of local nondeterminism. We will also discuss the existence problem for multiple points (or self-intersections) of the sample paths of SPDEs. Our result shows that multiple points do not exist in the critical dimension for a large class of Gaussian random fields including the solution of a linear system of stochastic heat or wave equations.<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
'''Langevin Monte Carlo Without Smoothness'''<br />
<br />
Langevin Monte Carlo (LMC) is an iterative algorithm used to generate samples from a distribution that is known only up to a normalizing constant. The nonasymptotic dependence of its mixing time on the dimension and target accuracy is understood mainly in the setting of smooth (gradient-Lipschitz) log-densities, a serious limitation for applications in machine learning. We remove this limitation by providing polynomial-time convergence guarantees for a variant of LMC in the setting of non-smooth log-concave distributions. At a high level, our results follow by leveraging the implicit smoothing of the log-density that comes from a small Gaussian perturbation that we add to the iterates of the algorithm and while controlling the bias and variance that are induced by this perturbation.<br />
Based on joint work with Niladri Chatterji, Michael I. Jordan, and Peter L. Bartlett.<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
'''A replacement principle for perturbations of non-normal matrices'''<br />
<br />
There are certain non-normal matrices whose eigenvalues can change dramatically when a small perturbation is added. However, when that perturbation is an iid random matrix, it appears that the eigenvalues become stable after perturbation and only change slightly when further small perturbations are added. Much of the work is this situation has focused on iid random gaussian perturbations. In this talk, we will discuss work on a universality result that allows for consideration of non-gaussian perturbations, and that shows that all perturbations satisfying certain conditions will produce the same limiting eigenvalue measure. Interestingly, this even allows for deterministic perturbations to be considered. Joint work with Sean O'Rourke.<br />
<br />
== February 27, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' Large Deviation Principles via Spherical Integrals'''<br />
<br />
<br />
In this talk, I'll explain a framework to study the large deviation principle for matrix models and their quantized versions, by tilting the measures using the asymptotics of spherical integrals obtained by Guionnet and Zeitouni. As examples, we obtain <br />
<br />
1) the large deviation principle for the empirical distribution of the diagonal entries of $UB_NU^*$, for a sequence of $N\times N$ diagonal matrices $B_N$ and unitary/orthogonal Haar distributed matrices $U$;<br />
<br />
2) the large deviation upper bound for the empirical eigenvalue distribution of $A_N+UB_NU^*$, for two sequences of $N\times N$ diagonal matrices $A_N, B_N$, and their complementary lower bounds at "good'' probability distributions;<br />
<br />
3) the large deviation principle for the Kostka number $K_{\bm\la_N \bmeta_N}$, for two sequences of partitions $\bm\la_N, \bmeta_N$ with at most $N$ rows;<br />
<br />
4) the large deviation upper bound for the Littlewood-Richardson coefficients $c_{\bm\la_N \bmeta_N}^{\bmkappa_N}$, for three sequences of partitions $\bm\la_N, \bmeta_N, \bmkappa_N$ with at most $N$ rows, and their complementary lower bounds at "good'' probability distributions.<br />
<br />
This is a joint work with Belinschi and Guionnet.<br />
<br />
== March 12, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 19, 2020, Spring break ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=19003Probability Seminar2020-02-12T00:38:10Z<p>Vadicgor: /* February 20, 2020, Philip Matchett Wood (UC Berkeley) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''Sample path properties of stochastic partial differential equations: modulus of continuity and multiple points'''<br />
<br />
In this talk, we will discuss sample path properties of stochastic partial differential equations (SPDEs). We will present a sharp regularity result for the stochastic wave equation driven by an additive Gaussian noise that is white in time and colored in space. We prove the exact modulus of continuity via the property of local nondeterminism. We will also discuss the existence problem for multiple points (or self-intersections) of the sample paths of SPDEs. Our result shows that multiple points do not exist in the critical dimension for a large class of Gaussian random fields including the solution of a linear system of stochastic heat or wave equations.<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
'''Langevin Monte Carlo Without Smoothness'''<br />
<br />
Langevin Monte Carlo (LMC) is an iterative algorithm used to generate samples from a distribution that is known only up to a normalizing constant. The nonasymptotic dependence of its mixing time on the dimension and target accuracy is understood mainly in the setting of smooth (gradient-Lipschitz) log-densities, a serious limitation for applications in machine learning. We remove this limitation by providing polynomial-time convergence guarantees for a variant of LMC in the setting of non-smooth log-concave distributions. At a high level, our results follow by leveraging the implicit smoothing of the log-density that comes from a small Gaussian perturbation that we add to the iterates of the algorithm and while controlling the bias and variance that are induced by this perturbation.<br />
Based on joint work with Niladri Chatterji, Michael I. Jordan, and Peter L. Bartlett.<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
'''A replacement principle for perturbations of non-normal matrices'''<br />
<br />
There are certain non-normal matrices whose eigenvalues can change dramatically when a small perturbation is added. However, when that perturbation is an iid random matrix, it appears that the eigenvalues become stable after perturbation and only change slightly when further small perturbations are added. Much of the work is this situation has focused on iid random gaussian perturbations. In this talk, we will discuss work on a universality result that allows for consideration of non-gaussian perturbations, and that shows that all perturbations satisfying certain conditions will produce the same limiting eigenvalue measure. Interestingly, this even allows for deterministic perturbations to be considered. Joint work with Sean O'Rourke.<br />
<br />
== February 27, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 19, 2020, Spring break ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18859Probability Seminar2020-02-01T02:02:01Z<p>Vadicgor: /* February 13, 2020, Jelena Diakonikolas (UW Madison) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''Sample path properties of stochastic partial differential equations: modulus of continuity and multiple points'''<br />
<br />
In this talk, we will discuss sample path properties of stochastic partial differential equations (SPDEs). We will present a sharp regularity result for the stochastic wave equation driven by an additive Gaussian noise that is white in time and colored in space. We prove the exact modulus of continuity via the property of local nondeterminism. We will also discuss the existence problem for multiple points (or self-intersections) of the sample paths of SPDEs. Our result shows that multiple points do not exist in the critical dimension for a large class of Gaussian random fields including the solution of a linear system of stochastic heat or wave equations.<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
'''Langevin Monte Carlo Without Smoothness'''<br />
<br />
Langevin Monte Carlo (LMC) is an iterative algorithm used to generate samples from a distribution that is known only up to a normalizing constant. The nonasymptotic dependence of its mixing time on the dimension and target accuracy is understood mainly in the setting of smooth (gradient-Lipschitz) log-densities, a serious limitation for applications in machine learning. We remove this limitation by providing polynomial-time convergence guarantees for a variant of LMC in the setting of non-smooth log-concave distributions. At a high level, our results follow by leveraging the implicit smoothing of the log-density that comes from a small Gaussian perturbation that we add to the iterates of the algorithm and while controlling the bias and variance that are induced by this perturbation.<br />
Based on joint work with Niladri Chatterji, Michael I. Jordan, and Peter L. Bartlett.<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 19, 2020, Spring break ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18795Probability Seminar2020-01-26T15:30:56Z<p>Vadicgor: /* March 19, 2020, SPRING BREAK */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''Sample path properties of stochastic partial differential equations: modulus of continuity and multiple points'''<br />
<br />
In this talk, we will discuss sample path properties of stochastic partial differential equations (SPDEs). We will present a sharp regularity result for the stochastic wave equation driven by an additive Gaussian noise that is white in time and colored in space. We prove the exact modulus of continuity via the property of local nondeterminism. We will also discuss the existence problem for multiple points (or self-intersections) of the sample paths of SPDEs. Our result shows that multiple points do not exist in the critical dimension for a large class of Gaussian random fields including the solution of a linear system of stochastic heat or wave equations.<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 19, 2020, Spring break ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18794Probability Seminar2020-01-26T15:30:24Z<p>Vadicgor: </p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''Sample path properties of stochastic partial differential equations: modulus of continuity and multiple points'''<br />
<br />
In this talk, we will discuss sample path properties of stochastic partial differential equations (SPDEs). We will present a sharp regularity result for the stochastic wave equation driven by an additive Gaussian noise that is white in time and colored in space. We prove the exact modulus of continuity via the property of local nondeterminism. We will also discuss the existence problem for multiple points (or self-intersections) of the sample paths of SPDEs. Our result shows that multiple points do not exist in the critical dimension for a large class of Gaussian random fields including the solution of a linear system of stochastic heat or wave equations.<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 19, 2020, SPRING BREAK ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18793Probability Seminar2020-01-26T15:29:34Z<p>Vadicgor: /* March 12, 2020, TBA */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''Sample path properties of stochastic partial differential equations: modulus of continuity and multiple points'''<br />
<br />
In this talk, we will discuss sample path properties of stochastic partial differential equations (SPDEs). We will present a sharp regularity result for the stochastic wave equation driven by an additive Gaussian noise that is white in time and colored in space. We prove the exact modulus of continuity via the property of local nondeterminism. We will also discuss the existence problem for multiple points (or self-intersections) of the sample paths of SPDEs. Our result shows that multiple points do not exist in the critical dimension for a large class of Gaussian random fields including the solution of a linear system of stochastic heat or wave equations.<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18792Probability Seminar2020-01-26T15:29:25Z<p>Vadicgor: /* February 27, 2020, TBA */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''Sample path properties of stochastic partial differential equations: modulus of continuity and multiple points'''<br />
<br />
In this talk, we will discuss sample path properties of stochastic partial differential equations (SPDEs). We will present a sharp regularity result for the stochastic wave equation driven by an additive Gaussian noise that is white in time and colored in space. We prove the exact modulus of continuity via the property of local nondeterminism. We will also discuss the existence problem for multiple points (or self-intersections) of the sample paths of SPDEs. Our result shows that multiple points do not exist in the critical dimension for a large class of Gaussian random fields including the solution of a linear system of stochastic heat or wave equations.<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, No seminar ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18757Probability Seminar2020-01-23T15:50:24Z<p>Vadicgor: /* February 6, 2020, Cheuk-Yin Lee (Michigan State) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''Sample path properties of stochastic partial differential equations: modulus of continuity and multiple points'''<br />
<br />
In this talk, we will discuss sample path properties of stochastic partial differential equations (SPDEs). We will present a sharp regularity result for the stochastic wave equation driven by an additive Gaussian noise that is white in time and colored in space. We prove the exact modulus of continuity via the property of local nondeterminism. We will also discuss the existence problem for multiple points (or self-intersections) of the sample paths of SPDEs. Our result shows that multiple points do not exist in the critical dimension for a large class of Gaussian random fields including the solution of a linear system of stochastic heat or wave equations.<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, TBA ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18753Probability Seminar2020-01-23T03:46:21Z<p>Vadicgor: /* January 30, 2020, Scott Smith (UW Madison) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
''' '''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, TBA ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18752Probability Seminar2020-01-23T03:46:14Z<p>Vadicgor: /* January 30, 2020, Scott Smith (UW Madison) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
''' '''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, TBA ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18751Probability Seminar2020-01-23T03:46:06Z<p>Vadicgor: /* January 30, 2020, Scott Smith (UW Madison) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''Quasi-linear parabolic equations with singular forcing'''<br />
<br />
<br />
<br />
The classical solution theory for stochastic ODE's is centered around Ito's stochastic integral. By intertwining ideas from analysis and probability, this approach extends to many PDE's, a canonical example being multiplicative stochastic heat equations driven by space-time white noise. In both the ODE and PDE settings, the solution theory is beyond the scope of classical deterministic theory because of the ambiguity in multiplying a function with a white noise. The theory of rough paths and regularity structures provides a more quantitative understanding of this difficulty, leading to a more refined solution theory which efficiently divides the analytic and probabilistic aspects of the problem, and remarkably, even has an algebraic component.<br />
<br />
In this talk, we will discuss a new application of these ideas to stochastic heat equations where the strength of the diffusion is not constant but random, as it depends locally on the solution. These are known as quasi-linear equations. Our main result yields the deterministic side of a solution theory for these PDE's, modulo a suitable renormalization. Along the way, we identify a formally infinite series expansion of the solution which guides our analysis, reveals a nice algebraic structure, and encodes the counter-terms in the PDE. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
''' '''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, TBA ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18746Probability Seminar2020-01-22T21:30:16Z<p>Vadicgor: /* April 2, 2020, TBA */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
''' '''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
''' '''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, TBA ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, [http://pages.cs.wisc.edu/~tl/ Tianyu Liu] (UW Madison)==<br />
''' '''<br />
<br />
== April 9, 2020, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18708Probability Seminar2020-01-20T13:12:25Z<p>Vadicgor: /* April 16, 2020, Jian Ding (University of Pennsilvania) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
''' '''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
''' '''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, TBA ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, TBA ==<br />
''' '''<br />
<br />
== April 9, 2020, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsylvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18707Probability Seminar2020-01-20T13:10:54Z<p>Vadicgor: /* April 16, 2020, TBA */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
''' '''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
''' '''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, TBA ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, TBA ==<br />
''' '''<br />
<br />
== April 9, 2020, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, [https://statistics.wharton.upenn.edu/profile/dingjian/ Jian Ding] (University of Pennsilvania) ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18706Probability Seminar2020-01-20T12:39:52Z<p>Vadicgor: /* April 9, 2020, TBA */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
''' '''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
''' '''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, TBA ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, TBA ==<br />
''' '''<br />
<br />
== April 9, 2020, [http://stanford.edu/~ajdunl2/ Alexander Dunlap] (Stanford) ==<br />
''' '''<br />
<br />
== April 16, 2020, TBA ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18692Probability Seminar2020-01-19T16:28:35Z<p>Vadicgor: /* April 22-24, 2020, FRG Integrable Probability meeting */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
''' '''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
''' '''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, TBA ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, TBA ==<br />
''' '''<br />
<br />
== April 9, 2020, TBA ==<br />
''' '''<br />
<br />
== April 16, 2020, TBA ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
3-day event in Van Vleck 911<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18691Probability Seminar2020-01-19T16:27:01Z<p>Vadicgor: /* April 22-24, 2020, FRG Integrable Probability meeting */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
''' '''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
''' '''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, TBA ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, TBA ==<br />
''' '''<br />
<br />
== April 9, 2020, TBA ==<br />
''' '''<br />
<br />
== April 16, 2020, TBA ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College) ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18690Probability Seminar2020-01-19T16:26:51Z<p>Vadicgor: </p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
''' '''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
''' '''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, TBA ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, TBA ==<br />
''' '''<br />
<br />
== April 9, 2020, TBA ==<br />
''' '''<br />
<br />
== April 16, 2020, TBA ==<br />
''' '''<br />
<br />
== April 22-24, 2020, [http://frg.int-prob.org/ FRG Integrable Probability] meeting ==<br />
<br />
== April 23, 2020, [http://www.hairer.org/ Martin Hairer] (Imperial College)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Colloquia Wolfgang Wasow Lecture] at 4pm in Van Vleck 911<br />
<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18689Probability Seminar2020-01-19T16:22:16Z<p>Vadicgor: /* January 30, 2020, Scott Smith (UW Madison) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
<br />
''' '''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
''' '''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, TBA ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, TBA ==<br />
''' '''<br />
<br />
== April 9, 2020, TBA ==<br />
''' '''<br />
<br />
== April 16, 2020, TBA ==<br />
''' '''<br />
<br />
== April 22-24, 2020, FRG Integrable Probability meeting ==<br />
<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18688Probability Seminar2020-01-19T16:22:05Z<p>Vadicgor: /* April 30, 2020, Will Perkins (University of Illinois at Chicago) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
''' '''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
''' '''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, TBA ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, TBA ==<br />
''' '''<br />
<br />
== April 9, 2020, TBA ==<br />
''' '''<br />
<br />
== April 16, 2020, TBA ==<br />
''' '''<br />
<br />
== April 22-24, 2020, FRG Integrable Probability meeting ==<br />
<br />
<br />
== April 30, 2020, [http://willperkins.org/ Will Perkins] (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18687Probability Seminar2020-01-19T16:21:42Z<p>Vadicgor: /* April 30, 2020, Will Perkins (University of Illinois at Chicago) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
''' '''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
''' '''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, TBA ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, TBA ==<br />
''' '''<br />
<br />
== April 9, 2020, TBA ==<br />
''' '''<br />
<br />
== April 16, 2020, TBA ==<br />
''' '''<br />
<br />
== April 22-24, 2020, FRG Integrable Probability meeting ==<br />
<br />
<br />
== April 30, 2020, Will Perkins (University of Illinois at Chicago) ==<br />
''' '''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18686Probability Seminar2020-01-19T16:21:32Z<p>Vadicgor: /* April 16, 2020, TBA */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
''' '''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
''' '''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, TBA ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, TBA ==<br />
''' '''<br />
<br />
== April 9, 2020, TBA ==<br />
''' '''<br />
<br />
== April 16, 2020, TBA ==<br />
''' '''<br />
<br />
== April 22-24, 2020, FRG Integrable Probability meeting ==<br />
<br />
<br />
== April 30, 2020, Will Perkins (University of Illinois at Chicago) ==<br />
'''TBA'''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18685Probability Seminar2020-01-19T16:21:25Z<p>Vadicgor: /* April 9, 2020, TBA */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
''' '''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
''' '''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, TBA ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, TBA ==<br />
''' '''<br />
<br />
== April 9, 2020, TBA ==<br />
''' '''<br />
<br />
== April 16, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 22-24, 2020, FRG Integrable Probability meeting ==<br />
<br />
<br />
== April 30, 2020, Will Perkins (University of Illinois at Chicago) ==<br />
'''TBA'''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18684Probability Seminar2020-01-19T16:21:20Z<p>Vadicgor: /* April 2, 2020, TBA */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
''' '''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
''' '''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, TBA ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, TBA ==<br />
''' '''<br />
<br />
== April 9, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 16, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 22-24, 2020, FRG Integrable Probability meeting ==<br />
<br />
<br />
== April 30, 2020, Will Perkins (University of Illinois at Chicago) ==<br />
'''TBA'''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18683Probability Seminar2020-01-19T16:21:13Z<p>Vadicgor: /* March 26, 2020, Philippe Sosoe (Cornell) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
''' '''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
''' '''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, TBA ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
''' '''<br />
<br />
== March 26, 2020, [https://math.cornell.edu/philippe-sosoe Philippe Sosoe] (Cornell) ==<br />
''' '''<br />
<br />
== April 2, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 9, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 16, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 22-24, 2020, FRG Integrable Probability meeting ==<br />
<br />
<br />
== April 30, 2020, Will Perkins (University of Illinois at Chicago) ==<br />
'''TBA'''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18682Probability Seminar2020-01-19T16:20:42Z<p>Vadicgor: /* March 12, 2020, TBA */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
''' '''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
''' '''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, TBA ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
''' '''<br />
<br />
== March 26, 2020, Philippe Sosoe (Cornell) ==<br />
'''TBA'''<br />
<br />
== April 2, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 9, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 16, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 22-24, 2020, FRG Integrable Probability meeting ==<br />
<br />
<br />
== April 30, 2020, Will Perkins (University of Illinois at Chicago) ==<br />
'''TBA'''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18681Probability Seminar2020-01-19T16:20:33Z<p>Vadicgor: /* February 27, 2020, TBA */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
''' '''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
''' '''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, TBA ==<br />
''' '''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== March 26, 2020, Philippe Sosoe (Cornell) ==<br />
'''TBA'''<br />
<br />
== April 2, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 9, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 16, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 22-24, 2020, FRG Integrable Probability meeting ==<br />
<br />
<br />
== April 30, 2020, Will Perkins (University of Illinois at Chicago) ==<br />
'''TBA'''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18680Probability Seminar2020-01-19T16:20:24Z<p>Vadicgor: /* February 20, 2020, Philip Matchett Wood (UC Berkeley) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
''' '''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
''' '''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
''' '''<br />
<br />
== February 27, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== March 26, 2020, Philippe Sosoe (Cornell) ==<br />
'''TBA'''<br />
<br />
== April 2, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 9, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 16, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 22-24, 2020, FRG Integrable Probability meeting ==<br />
<br />
<br />
== April 30, 2020, Will Perkins (University of Illinois at Chicago) ==<br />
'''TBA'''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18679Probability Seminar2020-01-19T16:20:18Z<p>Vadicgor: /* February 13, 2020, Jelena Diakonikolas (UW Madison) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
''' '''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
''' '''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
''' '''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
'''TBA'''<br />
<br />
== February 27, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== March 26, 2020, Philippe Sosoe (Cornell) ==<br />
'''TBA'''<br />
<br />
== April 2, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 9, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 16, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 22-24, 2020, FRG Integrable Probability meeting ==<br />
<br />
<br />
== April 30, 2020, Will Perkins (University of Illinois at Chicago) ==<br />
'''TBA'''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18678Probability Seminar2020-01-19T16:20:11Z<p>Vadicgor: /* February 6, 2020, Cheuk-Yin Lee (Michigan State) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
''' '''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
''' '''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
'''TBA'''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
'''TBA'''<br />
<br />
== February 27, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== March 26, 2020, Philippe Sosoe (Cornell) ==<br />
'''TBA'''<br />
<br />
== April 2, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 9, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 16, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 22-24, 2020, FRG Integrable Probability meeting ==<br />
<br />
<br />
== April 30, 2020, Will Perkins (University of Illinois at Chicago) ==<br />
'''TBA'''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18677Probability Seminar2020-01-19T16:20:02Z<p>Vadicgor: /* January 30, 2020, Scott Smith (UW Madison) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
''' '''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''TBA'''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
'''TBA'''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
'''TBA'''<br />
<br />
== February 27, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== March 26, 2020, Philippe Sosoe (Cornell) ==<br />
'''TBA'''<br />
<br />
== April 2, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 9, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 16, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 22-24, 2020, FRG Integrable Probability meeting ==<br />
<br />
<br />
== April 30, 2020, Will Perkins (University of Illinois at Chicago) ==<br />
'''TBA'''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18676Probability Seminar2020-01-19T16:19:53Z<p>Vadicgor: /* March 5, 2020, Jiaoyang Huang (IAS) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''TBA'''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''TBA'''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
'''TBA'''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
'''TBA'''<br />
<br />
== February 27, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''' '''<br />
<br />
== March 12, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== March 26, 2020, Philippe Sosoe (Cornell) ==<br />
'''TBA'''<br />
<br />
== April 2, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 9, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 16, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 22-24, 2020, FRG Integrable Probability meeting ==<br />
<br />
<br />
== April 30, 2020, Will Perkins (University of Illinois at Chicago) ==<br />
'''TBA'''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18675Probability Seminar2020-01-19T16:19:45Z<p>Vadicgor: /* March 5, 2020, Jiaoyang Huang (IAS) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''TBA'''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''TBA'''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
'''TBA'''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
'''TBA'''<br />
<br />
== February 27, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== March 5, 2020, [https://www.ias.edu/scholars/jiaoyang-huang Jiaoyang Huang] (IAS) ==<br />
''''''<br />
<br />
== March 12, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== March 26, 2020, Philippe Sosoe (Cornell) ==<br />
'''TBA'''<br />
<br />
== April 2, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 9, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 16, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 22-24, 2020, FRG Integrable Probability meeting ==<br />
<br />
<br />
== April 30, 2020, Will Perkins (University of Illinois at Chicago) ==<br />
'''TBA'''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18674Probability Seminar2020-01-19T16:18:28Z<p>Vadicgor: /* February 20, 2020, Philip Matchett Wood (UC Berkeley) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''TBA'''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''TBA'''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
'''TBA'''<br />
<br />
== February 20, 2020, [https://math.berkeley.edu/~pmwood/ Philip Matchett Wood] (UC Berkeley) ==<br />
'''TBA'''<br />
<br />
== February 27, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== March 5, 2020, Jiaoyang Huang (IAS) ==<br />
'''TBA'''<br />
<br />
== March 12, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== March 26, 2020, Philippe Sosoe (Cornell) ==<br />
'''TBA'''<br />
<br />
== April 2, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 9, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 16, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 22-24, 2020, FRG Integrable Probability meeting ==<br />
<br />
<br />
== April 30, 2020, Will Perkins (University of Illinois at Chicago) ==<br />
'''TBA'''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18673Probability Seminar2020-01-19T16:17:55Z<p>Vadicgor: /* February 13, 2020, Jelena Diakonikolas (UW Madison) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''TBA'''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''TBA'''<br />
<br />
== February 13, 2020, [http://www.jelena-diakonikolas.com/ Jelena Diakonikolas] (UW Madison) ==<br />
'''TBA'''<br />
<br />
== February 20, 2020, Philip Matchett Wood (UC Berkeley) ==<br />
'''TBA'''<br />
<br />
== February 27, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== March 5, 2020, Jiaoyang Huang (IAS) ==<br />
'''TBA'''<br />
<br />
== March 12, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== March 26, 2020, Philippe Sosoe (Cornell) ==<br />
'''TBA'''<br />
<br />
== April 2, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 9, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 16, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 22-24, 2020, FRG Integrable Probability meeting ==<br />
<br />
<br />
== April 30, 2020, Will Perkins (University of Illinois at Chicago) ==<br />
'''TBA'''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18672Probability Seminar2020-01-19T16:17:28Z<p>Vadicgor: /* February 6, 2020, Cheuk-Yin Lee (Michigan State) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''TBA'''<br />
<br />
== February 6, 2020, [https://sites.google.com/site/cyleeken/ Cheuk-Yin Lee] (Michigan State) ==<br />
'''TBA'''<br />
<br />
== February 13, 2020, Jelena Diakonikolas (UW Madison) ==<br />
'''TBA'''<br />
<br />
== February 20, 2020, Philip Matchett Wood (UC Berkeley) ==<br />
'''TBA'''<br />
<br />
== February 27, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== March 5, 2020, Jiaoyang Huang (IAS) ==<br />
'''TBA'''<br />
<br />
== March 12, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== March 26, 2020, Philippe Sosoe (Cornell) ==<br />
'''TBA'''<br />
<br />
== April 2, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 9, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 16, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 22-24, 2020, FRG Integrable Probability meeting ==<br />
<br />
<br />
== April 30, 2020, Will Perkins (University of Illinois at Chicago) ==<br />
'''TBA'''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgorhttps://www.math.wisc.edu/wiki/index.php?title=Probability_Seminar&diff=18671Probability Seminar2020-01-19T16:16:50Z<p>Vadicgor: /* January 30, 2020, Scott Smith (UW Madison) */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Spring 2020 =<br />
<br />
<b>Thursdays in 901 Van Vleck Hall at 2:30 PM</b>, unless otherwise noted. <br />
<b>We usually end for questions at 3:20 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 />
== January 23, 2020, [https://www.math.wisc.edu/~seppalai/ Timo Seppalainen] (UW Madison) ==<br />
'''Non-existence of bi-infinite geodesics in the exponential corner growth model<br />
'''<br />
<br />
Whether bi-infinite geodesics exist has been a significant open problem in first- and last-passage percolation since the mid-80s. A non-existence proof in the case of directed planar last-passage percolation with exponential weights was posted by Basu, Hoffman and Sly in November 2018. Their proof utilizes estimates from integrable probability. This talk describes an independent proof completed 10 months later that relies on couplings, coarse graining, and control of geodesics through planarity and increment-stationary last-passage percolation. Joint work with Marton Balazs and Ofer Busani (Bristol).<br />
<br />
== January 30, 2020, [https://www.math.wisc.edu/people/vv-prof-directory Scott Smith] (UW Madison) ==<br />
'''TBA'''<br />
<br />
== February 6, 2020, Cheuk-Yin Lee (Michigan State) ==<br />
'''TBA'''<br />
<br />
== February 13, 2020, Jelena Diakonikolas (UW Madison) ==<br />
'''TBA'''<br />
<br />
== February 20, 2020, Philip Matchett Wood (UC Berkeley) ==<br />
'''TBA'''<br />
<br />
== February 27, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== March 5, 2020, Jiaoyang Huang (IAS) ==<br />
'''TBA'''<br />
<br />
== March 12, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== March 26, 2020, Philippe Sosoe (Cornell) ==<br />
'''TBA'''<br />
<br />
== April 2, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 9, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 16, 2020, TBA ==<br />
'''TBA'''<br />
<br />
== April 22-24, 2020, FRG Integrable Probability meeting ==<br />
<br />
<br />
== April 30, 2020, Will Perkins (University of Illinois at Chicago) ==<br />
'''TBA'''<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
[[Past Seminars]]</div>Vadicgor