2 citations · 3 across the 7 of their papers we have counts for
8 papers
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 , where is a Wigner matrix with sub-Gaussian entries and the diagonal matrix contains the row sums of . Ou…
The fractional free convolution of -diagonal elements and random polynomials under repeated differentiation
Andrew Campbell, Sean O'Rourke, David Renfrew
We extend the free convolution of Brown measures of -diagonal elements introduced by Kösters and Tikhomirov [Probab. Math. Statist. 38 (2018), no. 2, 359--384] to fractional pow…
Rate of Convergence in Multiple SLE using Random Matrix Theory
Andrew Campbell, Kyle Luh, Vlad Margarint
We provide an order of convergence for a version of the Carathéodory convergence for the multiple SLE model with a Dyson Brownian motion driver towards its hydrodynamic limit, for…
Extreme eigenvalues of Laplacian random matrices with Gaussian entries
Andrew Campbell, Kyle Luh, Sean O'Rourke +2
A Laplacian matrix is a real symmetric matrix whose row and column sums are zero. We investigate the limiting distribution of the largest eigenvalues of a Laplacian random matrix w…
Spectrum of Lévy-Khintchine Random Laplacian Matrices
Andrew Campbell, Sean O'Rourke
We consider the spectrum of random Laplacian matrices of the form where is a real symmetric random matrix and is a diagonal matrix whose entries are equal…
Spectrum of Heavy-Tailed Elliptic Random Matrices
Andrew Campbell, Sean O'Rourke
An elliptic random matrix is a square matrix whose -entry is independent of the rest of the entries except possibly . Elliptic random matrices generaliz…