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


Events By Interest


Events By Audience


Events By School

School of Science


prob_sem, aldixon


Department of Mathematics


Contact Email

Add to my calendar

Recent Activity

You're not going yet!

This event requires registration.