Bulk Universality for Complex non-Hermitian Matrices with Independent and Identically Distributed Entries
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866917788512157696 |
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| author | Maltsev, Anna Osman, Mohammed |
| author_facet | Maltsev, Anna Osman, Mohammed |
| contents | We consider N x N matrices with complex entries that are perturbed by a complex Gaussian matrix with small variance. We prove that if the unperturbed matrix satisfies certain local laws then the bulk correlation functions are universal in the large N limit. Assuming the entries are independent and identically distributed with a common distribution that has finite moments, the Gaussian component is removed by the four moment theorem of Tao and Vu. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_11429 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Bulk Universality for Complex non-Hermitian Matrices with Independent and Identically Distributed Entries Maltsev, Anna Osman, Mohammed Probability Mathematical Physics We consider N x N matrices with complex entries that are perturbed by a complex Gaussian matrix with small variance. We prove that if the unperturbed matrix satisfies certain local laws then the bulk correlation functions are universal in the large N limit. Assuming the entries are independent and identically distributed with a common distribution that has finite moments, the Gaussian component is removed by the four moment theorem of Tao and Vu. |
| title | Bulk Universality for Complex non-Hermitian Matrices with Independent and Identically Distributed Entries |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2310.11429 |