Organisers

Giuseppe CannizzaroLink opens in a new window and Nikolaos ZygourasLink opens in a new window

The probability seminar is held on Wednesdays 16-17 in B3.02.

Seminars in Term 1.

Oct 2 - Jon Keating (University of Oxford)

Title: Joint Moments

Abstract: I will talk about the joint moments of the characteristic polynomials of random unitary matrices and their derivatives, and will discuss briefly in this context the joint moments of the Riemann zeta-function and its derivates.

Oct 9 - Anna Ben-Hamou (LPSM Sorbonne Université)

Title: Cutoff for permuted Markov chains

Abstract: For a given finite Markov chain with uniform stationary distribution, and a given permutation on the state-space, we consider the Markov chain which alternates between random jumps according to the initial chain, and deterministic jumps according to the permutation. In this framework, Chatterjee and Diaconis (2020) showed that when the permutation satisfies some expansion condition with respect to the chain, then the mixing time is logarithmic in the size of the state space, and that this expansion condition is satisfied by almost all permutations. We will see that the mixing time can even be characterised much more precisely: for almost all permutations, the permuted chain has cutoff, at a time which only depends on the entropic rate of the initial chain.

Oct 16 - Christina Goldschmidt (University of Oxford)

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Oct 23 -

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Oct 30 - Jeffrey Kuan (Texas A&M University)

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Nov 6 - Jimmy He (Ohio)

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Nov 13 - Ajay Chandra (Imperial College)

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Nov 20 - Majdouline Borji (Max Planck Institute, Leipsig)

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Nov 27 - Giorgio Cipolloni (University of Arizona)

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Dec 4 - Tal Orenshtein (Università Milano-Bicocca)

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