Alpan, Gökalp and Kozhan, Rostyslav (2025) Multiplicative non-Hermitian perturbations of classical β-ensembles. Random Matrices: Theory and Application, 14 (03). ISSN 2010-3263 (Print) 2010-3271 (Online)
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Official URL: https://dx.doi.org/10.1142/S2010326325500145
Abstract
In this paper, we compute the joint eigenvalue distribution for a multiplicative non-Hermitian perturbation (I+iΓ)H, rank Γ = 1 of a random matrix H from the Gaussian, Laguerre and chiral Gaussian β-ensembles.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Beta-ensembles; joint eigenvalue distribution; multiplicative perturbations; non-Hermitian matrices; tridiagonal models |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Gökalp Alpan |
| Date Deposited: | 27 Aug 2025 14:53 |
| Last Modified: | 27 Aug 2025 14:54 |
| URI: | https://research.sabanciuniv.edu/id/eprint/52123 |
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