Free Probability and Operators

Date: April 30, 2025

Time: 4:00PM - 5:00PM

Location: BLOC 306

Speaker: Ping Zhong, University of Houston

Title: Brown measure of a free sum X+Y

Abstract: Brown measure is a sort of spectral measure for free random variables, not necessarily normal. I will report a joint work with Hari Bercovici on the Brown measure of a sum X+Y of two free non-selfadjoint random variables X and Y, where Y is R-diagonal. The procedure relies on studying free convolution of two symmetric measures and subordination functions. The Brown measure can predict the limiting eigenvalue distribution of full rank deformed single ring random matrix model.