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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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2023
Main Author: Ruzza, Giulio
Format: Article
Language:English
Published: Інститут математики НАН України 2023
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212031
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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