Single eigenvalue fluctuations of sparse Erdos-Renyi graphs
Dr. Yukun HE
Date & Time
20 Nov 2020 (Fri) | 03:30 PM - 04:30 PM
Venue
Online via ZOOM
Abstract
I discuss the fluctuations of individual eigenvalues of the adjacency matrix of the Erdos-Renyi graph $G(N,p)$.I show that if $N^{-1}\11 p \\11 N^{-2/3},then all nontrivial eigenvalues away from 0 have asymptotically Gaussian fluctuations. These fluctuations are governed by a single random variable, which has the interpretation of the total degree of the graph. Part of the result is a joint work with Antti Knowles.
Registration URL
https://cityu.zoom.us/meeting/register/tJckde6przgoH9bSNehUDX7T9ioweaojeW35W
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