Jacobi Beta Ensemble and $b$-Hurwitz Numbers
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866917660335276032 |
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| author | Ruzza, Giulio |
| author_facet | Ruzza, Giulio |
| contents | We express correlators of the Jacobi $β$ ensemble in terms of (a special case of) $b$-Hurwitz numbers, a deformation of Hurwitz numbers recently introduced by Chapuy and Dolega. The proof relies on Kadell's generalization of the Selberg integral. The Laguerre limit is also considered. All the relevant $b$-Hurwitz numbers are interpreted (following Bonzom, Chapuy, and Dolega) in terms of colored monotone Hurwitz maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_16323 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Jacobi Beta Ensemble and $b$-Hurwitz Numbers Ruzza, Giulio Mathematical Physics Combinatorics We express correlators of the Jacobi $β$ ensemble in terms of (a special case of) $b$-Hurwitz numbers, a deformation of Hurwitz numbers recently introduced by Chapuy and Dolega. The proof relies on Kadell's generalization of the Selberg integral. The Laguerre limit is also considered. All the relevant $b$-Hurwitz numbers are interpreted (following Bonzom, Chapuy, and Dolega) in terms of colored monotone Hurwitz maps. |
| title | Jacobi Beta Ensemble and $b$-Hurwitz Numbers |
| topic | Mathematical Physics Combinatorics |
| url | https://arxiv.org/abs/2306.16323 |