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 2018 · math.PRShow all

4 papers · 2 filters

math.PR2018★ 2 cited

On the local pairing behavior of critical points and roots of random polynomials

Sean O'Rourke, Noah Williams

We study the pairing between zeros and critical points of the polynomial $p_{n} (z) = \prod_{j = 1}^{n} (z - X_{j})$ , whose roots $X_{1}, \dots, X_{n}$ are complex-valued random variables. Under…

math.PR2018★ 1 cited

Eigenvector Delocalization for Non-Hermitian Random Matrices and Applications

Kyle Luh, Sean O'Rourke

Improving upon results of Rudelson and Vershynin, we establish delocalization bounds for eigenvectors of independent-entry random matrices. In particular, we show that with high pr…

math.PR2018

Gaussian fluctuations for linear eigenvalue statistics of products of independent iid random matrices

Natalie Coston, Sean O'Rourke

Consider the product $X = X_{1} \dots X_{m}$ of $m$ independent $n \times n$ iid random matrices. When $m$ is fixed and the dimension $n$ tends to infinity, we prove Gaussian limits…

math.PR2018

Random matrix products: Universality and least singular values

Phil Kopel, Sean O'Rourke, Van Vu

We establish, under a moment matching hypothesis, the local universality of the correlation functions associated with products of $M$ independent iid random matrices, as $M$ is fix…