Jacobi Ensemble, Hurwitz Numbers and Wilson Polynomials

Tamara Grava, Giulio Ruzza, Massimo Gisonni

Research output: Contribution to journalArticle (Academic Journal)peer-review

Abstract

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.
Original languageEnglish
JournalLetters in Mathematical Physics
Publication statusAccepted/In press - 2021

Keywords

  • Jacobi ensemble
  • Hurwitz numbers
  • multi-point correlators

Fingerprint Dive into the research topics of 'Jacobi Ensemble, Hurwitz Numbers and Wilson Polynomials'. Together they form a unique fingerprint.

Cite this