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Texas A&M University
Mathematics

Free Probability and Operators

Date: March 31, 2023

Time: 4:00PM - 5:00PM

Location: BLOC 306

Speaker: Sheng Yin, Baylor University

  

Title: Non-commutative rational functions in random matrices and operators.

Abstract: It is well-known that many random matrices have an asymptotical limit which is described by free probability. That is, for any noncommutative polynomial in these d independent random matrices converges to the same polynomial in d freely independent random variables that describe the limit distribution of each sequence of random matrices. In this talk, we will present a natural generalization of this convergence result. Namely, under suitable assumptions, we can enlarge our test function from noncommutative polynomial to noncommutative rational functions. It is based on a joint-work with Benoît Collins, Tobias Mai, Akihiro Miyagawa and Félix Parraud.