You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.
Speaker: Giorgio Cipolloni (Princeton University)
“How do the eigenvalues of a large random matrix behave?”
Abstract: We prove that the fluctuations of the eigenvalues converge to the Gaussian Free Field (GFF) on the unit disk. These fluctuations appear on a non-natural scale, due to strong correlations between the eigenvalues.
Then we study extremal values of this Gaussian field as well as certain space-time correlations of those eigenvalues.
Date: Wednesday, November 29, 2023
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