Addition of Random Matrices and Quantized Analogues

Abstract: The main objects of this talk are particle processes coming from the eigenvalues of sums of unitarily invariant random matrices and quantized analogues which arise from tensor products of irreducible representations of the unitary group. We outline an integrable probability approach to obtaining Airy point process fluctuations at the edge under an asymptotic regime where the number of summands or tensor products is sufficiently large.

mathematical physicscombinatoricsprobabilityrepresentation theorystatistics theory

Audience: researchers in the topic

Junior Integrable Probability Seminar

Series comments: The Junior Integrable Probability Seminar is a series of talks taking place online and involving young researchers working in Integrable Probability and related fields. Go to sites.google.com/view/junior-ips for zoom link and password for the talk a day before the seminar.