Probability Seminar

From UW-Math Wiki
Revision as of 12:45, 21 January 2016 by Nagreen (talk | contribs) (Thursday, May 5, TBA)
Jump to: navigation, search

Spring 2015

Thursdays in 901 Van Vleck Hall at 2:25 PM, unless otherwise noted.

If you would like to sign up for the email list to receive seminar announcements then please send an email to

Thursday, January 28, Leonid Petrov, University of Virginia

Title: The quantum integrable particle system on the line

I will discuss the higher spin six vertex model - an interacting particle system on the discrete 1d line in the Kardar--Parisi--Zhang universality class. Observables of this system admit explicit contour integral expressions which degenerate to many known formulas of such type for other integrable systems on the line in the KPZ class, including stochastic six vertex model, ASEP, various [math]q[/math]-TASEPs, and associated zero range processes. The structure of the higher spin six vertex model (leading to contour integral formulas for observables) is based on Cauchy summation identities for certain symmetric rational functions, which in turn can be traced back to the sl2 Yang--Baxter equation. This framework allows to also include space and spin inhomogeneities into the picture, which leads to new particle systems with unusual phase transitions.

Thursday, February 4, Inina Nenciu, UIC, Joint Probability and Analysis Seminar

Title: On some concrete criteria for quantum and stochastic confinement

Abstract: In this talk we will present several recent results on criteria ensuring the confinement of a quantum or a stochastic particle to a bounded domain in [math]R^n[/math]. These criteria are given in terms of explicit growth and/or decay rates for the diffusion matrix and the drift potential close to the boundary of the domain. As an application of the general method, we will discuss several cases, including some where the background Riemannian manifold (induced by the diffusion matrix) is geodesically incomplete. These results are part of an ongoing joint project with G. Nenciu (IMAR, Bucharest, Romania).

Friday, February 5, Daniele Cappelletti speaks in the Applied Math Seminar, 2:25pm in Room 901

Note: Daniele Cappelletti is speaking in the Applied Math Seminar, but his research on stochastic reaction networks uses probability theory and is related to work of our own David Anderson.

Thursday, February 25, Ramon van Handel, ORFE and PACM, Princeton

Thursday, March 10, Jun Yin, UW-Madison

Thursday, March 24, No Seminar, Spring Break

Thursday, March 31, Bill Sandholm, Economics, UW-Madison

Thursday, April 7, TBA

Thursday, April 14, TBA

Thursday, April 21, Paul Bourgade, Courant Institute, NYU

Thursday, April 28, Nancy Garcia, Statistics, IMECC, UNICAMP, Brazil

Thursday, May 5, TBA

[math]q[/math] [math]q[/math]

Past Seminars