{
  "id": "0712.1693",
  "version": "v2",
  "published": "2007-12-11T15:49:06.000Z",
  "updated": "2008-01-13T13:37:43.000Z",
  "title": "Correlation Kernels for Discrete Symplectic and Orthogonal Ensembles",
  "authors": [
    "Alexei Borodin",
    "Eugene Strahov"
  ],
  "comment": "45 pages, added references",
  "doi": "10.1007/s00220-008-0629-8",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "H. Widom derived formulae expressing correlation functions of orthogonal and symplectic ensembles of random matrices in terms of orthogonal polynomials (H. Widom. J. Stat. Phys. 94, (1999) 347-363). We obtain similar results for discrete ensembles whose weights have rational discrete logarithmic derivatives, and compute explicitly correlation kernels associated to the classical Meixner and Charlier orthogonal polynomials.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-01-13T13:37:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "correlation kernels",
      "discrete symplectic",
      "orthogonal ensembles",
      "rational discrete logarithmic derivatives",
      "orthogonal polynomials"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Communications in Mathematical Physics",
      "year": 2009,
      "month": "Mar",
      "volume": 286,
      "number": 3,
      "pages": 933
    },
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009CMaPh.286..933B"
    }
  }
}