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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 -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…