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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 (M√ľnster)

December 5: TBA