Mathematical Physics Seminar
The characteristic polynomial of Ginibre matrices
Paul Bourgade - New York University
Location: Hill 705
Date & time: Thursday, 24 October 2019 at 12:00PM - 1:00PM
Abstract: I will explain the calculation of the joint moments of the characteristic polynomial, for non-Hermitian matrices from the complex Ginibre ensemble. This is non-Hermitian analogue of Fisher-Hartwig asymptotics for Toeplitz determinants. As a consequence, this characteristic polynomial converges to the two dimensional Gaussian multiplicative chaos.
This is joint work with Guillaume Dubach and Lisa Hartung.
THERE WILL BE A BROWN BAG LUNCH