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Localization for random band matrices

CMSA EVENTS, SEMINARS: PROBABILITY

When: April 10, 2023
3:00 pm - 4:00 pm
Where: CMSA, 20 Garden St, G10
Address: 20 Garden Street, Cambridge, MA 02138, United States
Speaker: Ron Peled - Tel Aviv University
**Note unusual day and time**

 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.