Maximum of the characteristic polynomial of random Jacobi matrices
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908712540569600 |
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| author | Augeri, Fanny Zeitouni, Ofer |
| author_facet | Augeri, Fanny Zeitouni, Ofer |
| contents | We compute the second order asymptotics of the maximum of the absolute value of the log-characteristic polynomial of random Jacobi matrices whose coefficients satisfy some exponential integrability condition. In particular, by the triadiagonal representation of Dumitriu and Eldelman of Gaussian $β$ Ensembles, this result partially confirms the Fydorov-Simm conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_13289 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Maximum of the characteristic polynomial of random Jacobi matrices Augeri, Fanny Zeitouni, Ofer Probability We compute the second order asymptotics of the maximum of the absolute value of the log-characteristic polynomial of random Jacobi matrices whose coefficients satisfy some exponential integrability condition. In particular, by the triadiagonal representation of Dumitriu and Eldelman of Gaussian $β$ Ensembles, this result partially confirms the Fydorov-Simm conjecture. |
| title | Maximum of the characteristic polynomial of random Jacobi matrices |
| topic | Probability |
| url | https://arxiv.org/abs/2512.13289 |