Jacobi Ensemble, Hurwitz Numbers and Wilson Polynomials
Keyword(s):
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.
2019 ◽
Vol 10
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pp. 2150011
2013 ◽
Vol DMTCS Proceedings vol. AS,...
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1996 ◽
Vol 48
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pp. 43-63
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1992 ◽
Vol 1
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pp. 13-25
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