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...
Gespeichert in:
| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2023 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2023
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/212031 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Jacobi Beta Ensemble and -Hurwitz Numbers. Giulio Ruzza. SIGMA 19 (2023), 100, 18 pages |
Institution
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.
|
| 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 |