Deviation and moderate deviation for extremal eigenvalues of large Chiral non-Hermitian random matrices
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929515045847040 |
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| author | Ma, Yutao Wang, Siyu |
| author_facet | Ma, Yutao Wang, Siyu |
| contents | Consider the chiral non-Hermitian random matrix ensemble with parameters $n$ and $v,$ and let $(ζ_i)_{1\le i\le n}$ be its $n$ eigenvalues with positive $x$-coordinate. In this paper, we establish deviation probabilities and moderate deviation probabilities for the spectral radius $(n/(n+v))^{1/2}\max_{1\le i\le n}|ζ_i|^2,$ as well as $(n/(n+v))^{1/2}\min_{1\le i\le n}|ζ_i|^2.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16755 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Deviation and moderate deviation for extremal eigenvalues of large Chiral non-Hermitian random matrices Ma, Yutao Wang, Siyu Probability Consider the chiral non-Hermitian random matrix ensemble with parameters $n$ and $v,$ and let $(ζ_i)_{1\le i\le n}$ be its $n$ eigenvalues with positive $x$-coordinate. In this paper, we establish deviation probabilities and moderate deviation probabilities for the spectral radius $(n/(n+v))^{1/2}\max_{1\le i\le n}|ζ_i|^2,$ as well as $(n/(n+v))^{1/2}\min_{1\le i\le n}|ζ_i|^2.$ |
| title | Deviation and moderate deviation for extremal eigenvalues of large Chiral non-Hermitian random matrices |
| topic | Probability |
| url | https://arxiv.org/abs/2409.16755 |