Gaultier Lambert: Multiplicative chaos for the characteristic polynomial of CβE

Date: 2024-07-17

Time: 10:00 - 11:00

Speaker: 
Gaultier Lambert, KTH

Abstract

I will review the coupling for the circular β-ensembles (CβE) introduced by Killip and al. and use this framework to describe the asymptotics of powers of the characteristic polynomial and eigenvalue counting function in terms of multiplicative chaos. I will also explain the relationship with previous results on the spectral measure of the corresponding CMV operator. This is joint work with Joseph Najnudel (University of Bristol).