Massimo Gisonni, Tamara Grava, Giulio Ruzza
Published 2020-11-08Version 1
We 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 formulae 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.
Gap Probability Distribution of the Jacobi Unitary Ensemble: An Elementary Treatment, from Finite $n$ to Double Scaling
The Smallest Eigenvalue Distribution of the Jacobi Unitary Ensembles
Painlevé V for a Jacobi unitary ensemble with random singularities
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