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arXiv · 2308.06627

Multiplicative non-Hermitian perturbations of classical $\beta$-ensembles

Gökalp Alpan·Rostyslav Kozhan
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Abstract

We compute the joint eigenvalue distribution for a multiplicative non-Hermitian perturbation $(I+i\Gamma)H$, $\operatorname{rank}\,\Gamma=1$ of a random matrix $H$ from the Gaussian, Laguerre, and chiral Gaussian $\beta$-ensembles.

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Gökalp Alpan, Rostyslav Kozhan. 2023-08-12. Multiplicative non-Hermitian perturbations of classical $\beta$-ensembles. https://doi.org/10.1142/s2010326325500145

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