Free Probability and Operators

Date: October 21, 2022

Time: 4:00PM - 5:00PM

Location: BLOC 306

Speaker: Daniel Perales, TAMU

Title: Finite free multiplicative convolution

Abstract: We will introduce the finite free multiplicative convolution of two polynomials, and explain how it is related to free probability in the limit. Then we will study some recent results regarding this convolution, such as the law of large numbers. We will also explain how finite free probability can be used to study the effect of differentiating a sequence of polynomials several times and then looking at the resulting limiting root distribution.