Universality for Multiplicative Statistics of Hermitian Random Matrices and the Integro-Differential Painlevé II Equation

Abstract We study multiplicative statistics for the eigenvalues of unitarily-invariant Hermitian random matrix models. We consider one-cut regular polynomial potentials and a large class of multiplicative statistics. We show that in the large matrix limit several associated quantities c...

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Bibliographic Details
Main Authors: Ghosal, Promit, Silva, Guilherme L. F.
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2022
Online Access:https://hdl.handle.net/1721.1/146361