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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. 


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