Скачать или смотреть Alice Guionnet: About Universality Classes in Random Matrix Theory

Talk at the "Mathematics Münster Mid-term Conference", 25-27 March 2024, in Münster, Germany.
Abstract: Wigner’s surmise states that the spectrum of the Hamiltonian of heavy nuclei is distributed like that of a large random matrix. Since it was proposed by Wigner in 1956, the eigenvalue distribution of large random matrices has been used as a toy model to study the distribution of more complex mathematical objects such as random tiles or the longest increasing subsequence of a random perturbation. However, this universality phenomenon generally concerns distributions derived from Gaussian matrices, known as the Gaussian ensembles. In this talk, we will discuss more general universality classes that appear in the theory of random matrices.

More information on the conference: https://www.uni-muenster.de/Mathemati...