Multiplicative non-Hermitian perturbations of classical β-ensembles

In this paper, we compute the joint eigenvalue distribution for a multiplicative non-Hermitian perturbation [Formula: see text], [Formula: see text] of a random matrix [Formula: see text] from the Gaussian, Laguerre and chiral Gaussian [Formula: see text]-ensembles.

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Publication Details

Journal
Random Matrices Theory and Application
Published
2025-04-26
DOI
https://doi.org/10.1142/s2010326325500145
Primary Topic
Molecular spectroscopy and chirality
Type
article
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Multiplicative non-Hermitian perturbations of classical β-ensembles

Rostyslav Kozhan, Gökalp Alpan
Random Matrices Theory and Application
Molecular spectroscopy and chirality
article

Multiplicative non-Hermitian perturbations of classical β-ensembles

Rostyslav Kozhan, Gökalp Alpan
article en

Abstract

In this paper, we compute the joint eigenvalue distribution for a multiplicative non-Hermitian perturbation [Formula: see text], [Formula: see text] of a random matrix [Formula: see text] from the Gaussian, Laguerre and chiral Gaussian [Formula: see text]-ensembles.

Random Matrices Theory and ApplicationVol. 14(03)
Uppsala University (SE), Istanbul University (TR)
Climate action
Openalex Percentile: Top 92%
Molecular spectroscopy and chirality
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Multiplicative non-Hermitian perturbations of classical β-ensembles — Rostyslav Kozhan, Gökalp Alpan · Random Matrices Theory and Application (2025) | TGRS Research Map | TGRS