Jacobi Beta Ensemble and b-Hurwitz Numbers

被引：1

作者：

Ruzza, Giulio ^{[1
,2
]}

机构：

[1] Grp Fis Matemat, Campo Grande Edificio C6, P-1749016 Lisbon, Portugal

[2] Univ Lisbon, Fac Ciencias, Dept Matemat, Campo Grande Edificio C6, P-1749016 Lisbon, Portugal

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2023年 / 19卷

关键词：

beta ensembles; Jack polynomials; Hurwitz numbers; combinatorial maps; MATRIX MODEL; EQUATIONS;

D O I：

10.3842/SIGMA.2023.100

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We express correlators of the Jacobi beta ensemble in terms of (a special case of) b-Hurwitz numbers, a deformation of Hurwitz numbers recently introduced by Chapuy and Do l,ega. 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 Do l,ega) in terms of colored monotone Hurwitz maps.

引用

页数：18

共 36 条

[1] PROPERTIES OF LOOP EQUATIONS FOR THE HERMITIAN MATRIX MODEL AND FOR 2-DIMENSIONAL QUANTUM-GRAVITY [J].