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182 MEMORIAL DR, Cambridge, MA 02139

https://math.mit.edu/seminars/probability/ #Mathematics
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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

 

 

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