# 2018-19

*The probability seminar takes place on Wednesdays at 4:00 pm in room B3.02.*

Organisers: Wei Wu, Stefan Adams, Stefan Grosskinsky

###### Term 1 2018-19

**October 3: TBA**

**October 10: Milton Jara (IMPA)**

**Title:** Entropy methods in Markov chains

**Abstract:** Building upon Yau's relative entropy method, we derive a new strategy to obtain scaling properties of Markov chains with a large number of components. As an application, we obtain very precise estimates on the mixing properties of a mean-field spin system. Time permitting, we will also discuss the derivation of the speed of convergence of the hydrodynamic limit and non-equilibrium fluctuations of interacting particle systems.

**October 17: Christian Webb (Aalto)**

**Title: **On the statistical behavior of the Riemann zeta function

**Abstract:** A notoriously difficult problem of analytic number theory is to describe the behavior of the Riemann zeta function on the critical line. After reviewing some basic facts about the zeta function, I will discuss what can be said if the problem is relaxed by considering the behavior of the zeta function in the vicinity of a random point on the critical line.

Time permitting, I will also discuss how this problem is related to various models

of probability theory and mathematical physics. The talk is based on joint work with Eero Saksman.

**October 24: TBA**

**October 31: Paul Dario (ENS Paris)**

**November 7: Alexandros Eskenazis (Princeton)**

**November 14: David Dereudre (Lille)**

**November 21: Nadia Sidorova (UCL)**

**November 28: Steffen Dereich (Münster)**

**December 5: TBA**