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Seminar

Mini-Course: Introduction to Fluctuations of Beta-Ensembles October 25, 2021 (02:00 PM PDT - 03:00 PM PDT)
Parent Program:
Location: MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Gaultier Lambert (Universität Zürich)
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Video

Mini-Course: Introduction To Fluctuations Of Beta-Ensembles

Abstract/Media

To participate in this seminar, please register HERE.

We provide an introduction to recent results on the large N behavior of beta-ensembles, also known as log-gases. In the first part, we focus on the rigidity property of the spectrum which provides fine estimates on the fluctuations of eigenvalues and explain how this relate to universality. In the second part, we explain how to prove the CLT for linear statistics using loop equations and mention the connection to log-correlated fields and Gaussian multiplicative chaos.

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Mini-Course: Introduction To Fluctuations Of Beta-Ensembles