58 citations · 206 across the 36 of their papers we have counts for
5 papers · 1 filter
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 , whose roots are complex-valued random variables. Under…
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…
Gaussian fluctuations for linear eigenvalue statistics of products of independent iid random matrices
Natalie Coston, Sean O'Rourke
Consider the product of independent iid random matrices. When is fixed and the dimension tends to infinity, we prove Gaussian limits…
Matrices with Gaussian noise: optimal estimates for singular subspace perturbation
Sean O'Rourke, Van Vu, Ke Wang
The Davis-Kahan-Wedin theorem describes how the singular subspaces of a matrix change when subjected to a small perturbation. This classic result is sharp in the worst cas…
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 independent iid random matrices, as is fix…