MIT Probability Seminar

Monday, October 02, 2023 at 4:15pm to 5:15pm

Building 2, 2-147
182 MEMORIAL DR, Cambridge, MA 02139

Speaker:  Mehtaab Sawhney (MIT)

Title:  The limiting spectral distribution of iid matrices

Abstract:  Let A be an n by n matrix with iid Ber(d/n) entries. We show that the empirical measure of the eigenvalues converges, in probability, to a deterministic distribution. The proof involves incrementally exposing the randomness of the underlying matrix and studying the evolution of the singular values. The talk will focus on the simpler model case where we give a substantially simplified proof of the sparse circular law of Rudelson and Tikhomirov. 

Joint w. Ashwin Sah, Julian Sahasrabudhe

 

 

Event Type

Conferences/Seminars/Lectures

Events By Interest

Academic

Events By Audience

Public

Events By School

School of Science

Tags

prob_sem, aldixon

Website

https://math.mit.edu/seminars/probabi...

Department
Department of Mathematics
Hashtag

#Mathematics

Contact Email

rzammuto@mit.edu

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