scholarly journals On orthogonal and symplectic matrix ensembles

1996 ◽  
Vol 177 (3) ◽  
pp. 727-754 ◽  
Author(s):  
Craig A. Tracy ◽  
Harold Widom
Keyword(s):  
Symplectic Matrix ◽  
Matrix Ensembles

scholarly journals Jacobi Ensemble, Hurwitz Numbers and Wilson Polynomials

2021 ◽  
Vol 111 (3) ◽  
Author(s):  
Massimo Gisonni ◽  
Tamara Grava ◽  
Giulio Ruzza
Keyword(s):  
Generating Functions ◽  
Combinatorial Interpretation ◽  
Hurwitz Numbers ◽  
Jacobi Ensemble ◽  
Matrix Ensembles ◽  
Wilson Polynomials ◽  
Unitary Ensemble ◽  
Topological Expansion

AbstractWe express the topological expansion of the Jacobi Unitary Ensemble in terms of triple monotone Hurwitz numbers. This completes the combinatorial interpretation of the topological expansion of the classical unitary invariant matrix ensembles. We also provide effective formulæ for generating functions of multipoint correlators of the Jacobi Unitary Ensemble in terms of Wilson polynomials, generalizing the known relations between one point correlators and Wilson polynomials.

Level Spacing Distributions of Random Matrix Ensembles

1993 ◽  
Vol 62 (7) ◽  
pp. 2248-2259 ◽  
Author(s):  
Masahiro Shiroishi ◽  
Taro Nagao ◽  
Miki Wadati
Keyword(s):  
Random Matrix ◽  
Level Spacing ◽  
Random Matrix Ensembles ◽  
Matrix Ensembles

scholarly journals Gaussian perturbations of hard edge random matrix ensembles

Nonlinearity ◽  
2016 ◽  
Vol 29 (11) ◽  
pp. 3385-3416 ◽  
Author(s):  
Tom Claeys ◽  
Antoine Doeraene
Keyword(s):  
Random Matrix ◽  
Hard Edge ◽  
Random Matrix Ensembles ◽  
Matrix Ensembles
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