Jacobi Beta Ensemble and -Hurwitz Numbers
We express correlators of the Jacobi ensemble in terms of (a special case of) -Hurwitz numbers, a deformation of Hurwitz numbers recently introduced by Chapuy and Dołęga. The proof relies on Kadell's generalization of the Selberg integral. The Laguerre limit is also considered. All the relevan...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2023 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2023
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/212031 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Jacobi Beta Ensemble and -Hurwitz Numbers. Giulio Ruzza. SIGMA 19 (2023), 100, 18 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862685046123528192 |
|---|---|
| author | Ruzza, Giulio |
| author_facet | Ruzza, Giulio |
| citation_txt | Jacobi Beta Ensemble and -Hurwitz Numbers. Giulio Ruzza. SIGMA 19 (2023), 100, 18 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We express correlators of the Jacobi ensemble in terms of (a special case of) -Hurwitz numbers, a deformation of Hurwitz numbers recently introduced by Chapuy and Dołęga. The proof relies on Kadell's generalization of the Selberg integral. The Laguerre limit is also considered. All the relevant -Hurwitz numbers are interpreted (following Bonzom, Chapuy, and Dołęga) in terms of colored monotone Hurwitz maps.
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| first_indexed | 2026-03-17T10:46:43Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212031 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-17T10:46:43Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ruzza, Giulio 2026-01-23T10:08:39Z 2023 Jacobi Beta Ensemble and -Hurwitz Numbers. Giulio Ruzza. SIGMA 19 (2023), 100, 18 pages 1815-0659 2020 Mathematics Subject Classification: 15B52; 05E05; 05E16 arXiv:2306.16323 https://nasplib.isofts.kiev.ua/handle/123456789/212031 https://doi.org/10.3842/SIGMA.2023.100 We express correlators of the Jacobi ensemble in terms of (a special case of) -Hurwitz numbers, a deformation of Hurwitz numbers recently introduced by Chapuy and Dołęga. The proof relies on Kadell's generalization of the Selberg integral. The Laguerre limit is also considered. All the relevant -Hurwitz numbers are interpreted (following Bonzom, Chapuy, and Dołęga) in terms of colored monotone Hurwitz maps. I am grateful to Dan Betea, Massimo Gisonni, and Tamara Grava for valuable conversations and to Valentin Bonzom, Guillaume Chapuy, and Maciej Dołęga for insightful and helpful correspondence. I would also like to thank the anonymous referees for their useful suggestions. This work is supported by the FCT grant 2022.07810.CEECIND. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Jacobi Beta Ensemble and -Hurwitz Numbers Article published earlier |
| spellingShingle | Jacobi Beta Ensemble and -Hurwitz Numbers Ruzza, Giulio |
| title | Jacobi Beta Ensemble and -Hurwitz Numbers |
| title_full | Jacobi Beta Ensemble and -Hurwitz Numbers |
| title_fullStr | Jacobi Beta Ensemble and -Hurwitz Numbers |
| title_full_unstemmed | Jacobi Beta Ensemble and -Hurwitz Numbers |
| title_short | Jacobi Beta Ensemble and -Hurwitz Numbers |
| title_sort | jacobi beta ensemble and -hurwitz numbers |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212031 |
| work_keys_str_mv | AT ruzzagiulio jacobibetaensembleandhurwitznumbers |