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Alisa Knizel: Discrete beta-corners processes and loop equations

Time: Tue 2022-03-29 15.15 - 16.15

Location: Zoom, meeting ID: 698 3346 0369

Lecturer: Alisa Knizel (University of Chicago)

Abstract

I will talk about joint work with E. Dimitrov on discrete log-gases. We introduce and study global asymptotics of linear statistics for a class of discrete particle ensembles that naturally arise in connection with classical random matrix ensembles and Jack polynomials. Our main tools are certain novel algebraic identities that play a role of discrete multi-level analogues of loop equations.