The next meeting of the Joint Seminar of Analysis, Geometry and Topology Department will be held on July 4, 2023 at 2:00 pm (UTC+3)  in Room 478 of IMI.

A talk on:

Independence Structures in Random Matrix Theory and Random Partitions

 will be delivered by Yacine Barhoumi-Andréani, University of Bochum, Germany.

Everybody is invited.

Abstract.We consider two models of random objects: eigenvalues of random matrices and random integer partitions for two classical measures: the GUE and the Schur measure. We express the largest element of these sets as maxima of independent random variables. The method uses orthogonal polynomials on the real line in the random matrix case and on the unit circle in the second case. The distribution involved in the random matrix case uses the sigma-form of Painlevé IV functions whose theory will be recalled.