{
  "id": "2011.04082",
  "version": "v1",
  "published": "2020-11-08T21:14:29.000Z",
  "updated": "2020-11-08T21:14:29.000Z",
  "title": "Jacobi Ensemble, Hurwitz Numbers and Wilson Polynomials",
  "authors": [
    "Massimo Gisonni",
    "Tamara Grava",
    "Giulio Ruzza"
  ],
  "comment": "27 pages",
  "categories": [
    "math-ph",
    "math.CA",
    "math.CO",
    "math.MP",
    "math.PR"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-08T21:14:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "wilson polynomials",
      "jacobi ensemble",
      "triple monotone hurwitz numbers",
      "jacobi unitary ensemble",
      "classical unitary invariant matrix ensembles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}