Applied Math Seminar: Angel Chavez (Pomona)

Title: Randomized Sums of Graph Spectra

Abstract:
The adjacency matrix of an Erdős-Rényi-Gilbert graph is a random symmetric matrix whose entries are Bernoulli random variables. These entries, modulo the constraints imposed by symmetry, are independent. We aim to understand the asymptotic behavior of randomized sums of the spectra and singular spectra of these matrices. In particular, we establish several central-limit type theorems for these randomized sums of eigenvalues and singular values.