Free Probability and Operators

Date: April 28, 2023

Time: 4:00PM - 5:00PM

Location: BLOC 306

Speaker: Michael Anshelevich, TAMU

Title: Types of noncommutative independence and asymptotics of random matrices.

Abstract: We will discuss how the asymptotic joint distribution of two random matrices "in a general position" can be described using cyclic c-freeness and its particular cases; or, conversely, how different types of noncommutative independence can be asymptotically modeled by random matrices. In the first talk we will concentrate on algebraic independence theories; in the second and third talks, we will explain the connection with random matrices. The talks are based primarily on the articles arXiv:2207.06249 by Cébron and Gilliers; and arXiv:2205.01926 by Cébron, Dahlqvist, and Gabriel.