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 2015 · math.PRShow all

2 papers · 2 filters

math.PR2015★ 5 cited

Spectra of nearly Hermitian random matrices

Sean O'Rourke, Philip Matchett Wood

We consider the eigenvalues and eigenvectors of matrices of the form M + P, where M is an n by n Wigner random matrix and P is an arbitrary n by n deterministic matrix with low ran…

math.PR2015★ 11 cited

Controllability of random systems: Universality and minimal controllability

Sean O'Rourke, Behrouz Touri

For a large class of random matrices $A$ and vectors $b$ , we show that linear systems formed from the pair $(A, b)$ are controllable with high probability. Despite the fact that min…