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most citedMatrix models and eigenvalue statistics for truncations of classical ensembles of random unitary matrices

12 citations · 38 across the 23 of their papers we have counts for

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math.PR2023

Multiplicative non-Hermitian perturbations of classical -ensembles

Gökalp Alpan, Rostyslav Kozhan

We compute the joint eigenvalue distribution for a multiplicative non-Hermitian perturbation , of a random matrix from the Gaussian, Laguerr…

math.PR2021

Hermitian and non-Hermitian perturbations of chiral Gaussian -ensembles

Gökalp Alpan, Rostyslav Kozhan

We compute the joint eigenvalue distribution for the rank one Hermitian and non-Hermitian perturbations of chiral Gaussian -ensembles () of random matrices.

math.PR2019

Global fluctuations for Multiple Orthogonal Polynomial Ensembles

Maurice Duits, Benjamin Fahs, Rostyslav Kozhan

We study the fluctuations of linear statistics with polynomial test functions for Multiple Orthogonal Polynomial Ensembles. Multiple Orthogonal Polynomial Ensembles form an importa…

math.PR2015

Rank one non-Hermitian perturbations of Hermitian -ensembles

Rostyslav Kozhan

For any , we provide a tridiagonal matrix model and compute the joint eigenvalue density of a random rank one non-Hermitian perturbation of Gaussian and Laguerre -ensembles…

math.PR2015★ 12 cited

Matrix models and eigenvalue statistics for truncations of classical ensembles of random unitary matrices

Rowan Killip, Rostyslav Kozhan

We consider random non-normal matrices constructed by removing one row and column from samples from Dyson's circular ensembles or samples from the classical compact groups. We deve…