# Student Probability Seminar

#### DLR equations and the one-dimensional log-gas

**Speaker:**
Thomas LeblĂ©

**Location:**
Warren Weaver Hall 1314

**Date:**
Wednesday, October 25, 2017, 10 a.m.

**Synopsis:**

*A convenient way to describe certain point processes emerging from statistical physics in the infinite volume / thermodynamic / large N limit is to see them as an infinite-dimensional measure which presents a Gibbs-type local behaviour governed by the DLR (for Dobrushin-Lanford-Ruelle) equations. This is also a good setting for characterising simple phase transitions.*

*I will say a few words about the general theory, the so-called variational principle and the question of uniqueness of Gibbs measures, and if time permits I will present some elements of a work in progress concerning a DLR description of the sine-beta process (the limit point process in Hermitian random matrix theory).*