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 relev...

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2023
1. Verfasser: Ruzza, Giulio
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2023
Online Zugang: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
Zitieren:Jacobi Beta Ensemble and -Hurwitz Numbers. Giulio Ruzza. SIGMA 19 (2023), 100, 18 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine