Sean O’Rourke

activity

20092026

most citedGaussian Fluctuations of Eigenvalues in Wigner Random Matrices

58 citations · 206 across the 36 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.PR2020

Spectrum of Heavy-Tailed Elliptic Random Matrices

Andrew Campbell, Sean O'Rourke

An elliptic random matrix $X$ is a square matrix whose $(i, j)$ -entry $X_{ij}$ is independent of the rest of the entries except possibly $X_{j i}$ . Elliptic random matrices generaliz…

math.PR2020★ 3 cited

Circular Law for Random Block Band Matrices with Genuinely Sublinear Bandwidth

Vishesh Jain, Indrajit Jana, Kyle Luh +1

We prove the circular law for a class of non-Hermitian random block band matrices with genuinely sublinear bandwidth. Namely, we show there exists $τ \in (0, 1)$ so that if the bandw…

math.PR2020

Eigenvectors and controllability of non-Hermitian random matrices and directed graphs

Kyle Luh, Sean O'Rourke

We study the eigenvectors and eigenvalues of random matrices with iid entries. Let $N$ be a random matrix with iid entries which have symmetric distribution. For each unit eigenvec…