Student Probability Seminar
Large deviations for extreme eigenvalues of deformed Wigner random matrices
Speaker: Benjamin McKenna, CIMS
Location: Warren Weaver Hall 201
Date: Thursday, October 3, 2019, 12:15 p.m.
Given the spectrum of two matrices and , what can we say about the spectrum of as ? In this talk, we will discuss a random analogue of this deterministic question. We will introduce the free additive convolution, which gives an asymptotic understanding of the whole spectrum; present a large deviations principle, which gives a fine understanding at the edge of the spectrum; and consider "spherical integrals," which are the major tool in the proof of the latter. No previous knowledge of random matrices will be assumed.