Bulk universality for complex eigenvalues of real non-symmetric random matrices with i.i.d. entries
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914772013809664 |
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| author | Dubova, Sofiia Yang, Kevin |
| author_facet | Dubova, Sofiia Yang, Kevin |
| contents | We consider an ensemble of non-Hermitian matrices with independent identically distributed real entries that have finite moments. We show that its $k$-point correlation function in the bulk away from the real line converges to a universal limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10197 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bulk universality for complex eigenvalues of real non-symmetric random matrices with i.i.d. entries Dubova, Sofiia Yang, Kevin Probability Mathematical Physics 60B20, 15B52 We consider an ensemble of non-Hermitian matrices with independent identically distributed real entries that have finite moments. We show that its $k$-point correlation function in the bulk away from the real line converges to a universal limit. |
| title | Bulk universality for complex eigenvalues of real non-symmetric random matrices with i.i.d. entries |
| topic | Probability Mathematical Physics 60B20, 15B52 |
| url | https://arxiv.org/abs/2402.10197 |