Поредното заседание на Общия семинар на секция “Анализ, геометрия и топология” ще се проведе
на 4 юли 2023 г. от 14:00 часа в зала 478 на ИМИ – БАН.
Доклад на тема:

Independence Structures in Random Matrix Theory and Random Partitions

ще изнесе Yacine Barhoumi-Andréani, University of Bochum, Germany.

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Резюме. 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.