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Dalhousie-AARMS AAMP Seminar: Ben Landon (University of Toronto)
October 15, 2021 @ 4:00 pm - 5:00 pm
Title: Local eigenvalue statistics of random matrices and Dyson Brownian motion
Abstract: Dyson Brownian motion is a stochastic process describing eigenvalue dynamics under a matrix-valued Brownian motion. We will review this process and its role in the study of universality of the local
spectral statistics of random matrices. We discuss results on the local ergodicity of Dyson Brownian motion and applications, including local eigenvalue universality of the adjacency matrices of sparse random graphs
and an additive model related to free probability. Time permitting, we also review results on the universality of extremal spectral statistics and the fluctuations of a single eigenvalue in the spectral bulk.
The Dalhousie-AARMS Analysis-Applied Math-Physics Seminar takes place on Fridays from 4 – 5 pm Atlantic Time in Chase 319 on the Dalhousie University campus with some being broadcasted over Zoom. If you would like to attend, please email the organizers for connection details.