Outliers in spectrum of sparse Wigner matrices

Series
Stochastics Seminar
Time
Thursday, September 5, 2019 - 3:05pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Konstantin Tikhomirov – Georgia Tech – konstantin.tikhomirov@math.gatech.eduhttps://people.math.gatech.edu/~ktikhomirov6/
Organizer
Michael Damron

We study the effect of sparsity on the appearance of outliers in the semi-circular law. As a corollary of our main results, we show that, for the Erdos-Renyi random graph with parameter p, the second largest eigenvalue is (asymptotically almost surely) detached from the bulk of the spectrum if and only if pn