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 2026Show all

3 papers · 1 filter

math.PR2026

Universality for the extreme eigenvalues of Laplacian random matrices

Andrew Campbell, Kyle Luh, Sean O'Rourke

We study the eigenvalues of the random Laplacian matrix $D - A$ , where $A$ is a Wigner matrix with sub-Gaussian entries and the diagonal matrix $D$ contains the row sums of $A$ . Ou…

math.PR2026

Limiting spectral distribution for the adjacency matrix of the Watts-Strogatz random graph

Grégoire Meunier, Sean O'Rourke

The Watts-Strogatz random graph model on $n$ vertices with parameters $K$ (a positive even integer) and $p \in [0, 1]$ is constructed in two steps. First, one starts with a ring la…

math.PR2026

Real roots of non-centered random polynomials

Yen Q. Do, Nhan D. V. Nguyen, Sean O'Rourke

We study the fluctuations of the number of real roots of random polynomials with independent, nonzero-mean coefficients. Such non-centered ensembles arise naturally in signal-plus-…