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 2021 · math.PRShow all

2 papers · 2 filters

math.PR2021

Sums of random polynomials with differing degrees

Isabelle Kraus, Marcus Michelen, Sean O'Rourke

Let $μ$ and $ν$ be probability measures in the complex plane, and let $p$ and $q$ be independent random polynomials of degree $n$ , whose roots are chosen independently from $μ$ and…

math.PR2021

Quantitative results for banded Toeplitz matrices subject to random and deterministic perturbations

Sean O'Rourke, Philip Matchett Wood

We consider the eigenvalues of a fixed, non-normal matrix subject to a small additive perturbation. In particular, we consider the case when the fixed matrix is a banded Toeplitz m…