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

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Showing 2023Show all

2 papers · 1 filter

math.PR2023

Spectrum of Laplacian matrices associated with large random elliptic matrices

Sean O'Rourke, Zhi Yin, Ping Zhong

A Laplacian matrix is a square matrix whose row sums are zero. We study the limiting eigenvalue distribution of a Laplacian matrix formed by taking a random elliptic matrix and sub…

math.PR2023

The fractional free convolution of $R$ -diagonal elements and random polynomials under repeated differentiation

Andrew Campbell, Sean O'Rourke, David Renfrew

We extend the free convolution of Brown measures of $R$ -diagonal elements introduced by Kösters and Tikhomirov [Probab. Math. Statist. 38 (2018), no. 2, 359--384] to fractional pow…

Spectrum of Laplacian matrices associated with large random elliptic matrices

The fractional free convolution of R-diagonal elements and random polynomials under repeated differentiation

The fractional free convolution of $R$ -diagonal elements and random polynomials under repeated differentiation