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 2019Show all

3 papers · 1 filter

math.PR2019★ 1 cited

Partial linear eigenvalue statistics for non-Hermitian random matrices

Sean O'Rourke, Noah Williams

For an $n \times n$ independent-entry random matrix $X_{n}$ with eigenvalues $λ_{1}, \dots, λ_{n}$ , the seminal work of Rider and Silverstein asserts that the fluctuations of the linear…

math.AP2019★ 8 cited

A Nonlocal Transport Equation Modeling Complex Roots of Polynomials under Differentiation

Sean O'Rourke, Stefan Steinerberger

Let $p_{n} : C \to C$ be a random complex polynomial whose roots are sampled i.i.d. from a radial distribution $u (r) r d r$ in the complex plane. A natural que…

math.PR2019

Sums of random polynomials with independent roots

Sean O'Rourke, Tulasi Ram Reddy

We consider the zeros of the sum of independent random polynomials as their degrees tend to infinity. Namely, let $p$ and $q$ be two independent random polynomials of degree $n$ , w…