Multiplicative non-Hermitian perturbations of classical $β$-ensembles
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866917169054351360 |
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| author | Alpan, Gökalp Kozhan, Rostyslav |
| author_facet | Alpan, Gökalp Kozhan, Rostyslav |
| contents | We compute the joint eigenvalue distribution for a multiplicative non-Hermitian perturbation $(I+iΓ)H$, $\operatorname{rank}\,Γ=1$ of a random matrix $H$ from the Gaussian, Laguerre, and chiral Gaussian $β$-ensembles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_06627 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Multiplicative non-Hermitian perturbations of classical $β$-ensembles Alpan, Gökalp Kozhan, Rostyslav Probability Mathematical Physics We compute the joint eigenvalue distribution for a multiplicative non-Hermitian perturbation $(I+iΓ)H$, $\operatorname{rank}\,Γ=1$ of a random matrix $H$ from the Gaussian, Laguerre, and chiral Gaussian $β$-ensembles. |
| title | Multiplicative non-Hermitian perturbations of classical $β$-ensembles |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2308.06627 |