On the second moment of the determinant of random symmetric, Wigner, and Hermitian matrices
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866916421346263040 |
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| author | Beck, Dominik Lv, Zelin Potechin, Aaron |
| author_facet | Beck, Dominik Lv, Zelin Potechin, Aaron |
| contents | In this paper, we analyze the second moment of the determinant of random symmetric, Wigner, and Hermitian matrices. Using analytic combinatorics techniques, we determine the second moment of the determinant of Hermitian matrices whose entries on the diagonal are i.i.d and whose entries above the diagonal are i.i.d. and have real expected values. Our results extend previous work analyzing the second moment of the determinant of symmetric and Wigner matrices, providing a unified approach for this analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_14620 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the second moment of the determinant of random symmetric, Wigner, and Hermitian matrices Beck, Dominik Lv, Zelin Potechin, Aaron Combinatorics Probability In this paper, we analyze the second moment of the determinant of random symmetric, Wigner, and Hermitian matrices. Using analytic combinatorics techniques, we determine the second moment of the determinant of Hermitian matrices whose entries on the diagonal are i.i.d and whose entries above the diagonal are i.i.d. and have real expected values. Our results extend previous work analyzing the second moment of the determinant of symmetric and Wigner matrices, providing a unified approach for this analysis. |
| title | On the second moment of the determinant of random symmetric, Wigner, and Hermitian matrices |
| topic | Combinatorics Probability |
| url | https://arxiv.org/abs/2409.14620 |