Rostyslav Kozhan

activity

20092026

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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Showing 2015 · math.PRShow all

2 papers · 2 filters

math.PR2015

Rank one non-Hermitian perturbations of Hermitian $β$ -ensembles

Rostyslav Kozhan

For any $β > 0$ , we provide a tridiagonal matrix model and compute the joint eigenvalue density of a random rank one non-Hermitian perturbation of Gaussian and Laguerre $β$ -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…

Rank one non-Hermitian perturbations of Hermitian β-ensembles

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

Rank one non-Hermitian perturbations of Hermitian $β$ -ensembles