Localization for random band matrices

04/10/2023 3:00 pm - 4:00 pm
Harvard Science Center
Address: 1 Oxford Street, Cambridge MA 02138

Probability Seminar

*Please note room change: Science Center 232*

Speaker: Ron Peled (Tel Aviv University)

Title: Localization for random band matrices

Abstract: I will explain an approach via “an adaptive Mermin-Wagner style shift” which proves localization of N x N Gaussian random band matrices with band width W satisfying W << N^{1/4}.

Joint work with Giorgio Cipolloni, Jeffrey Schenker and Jacob Shapiro.