{
  "id": "math-ph/0411016",
  "version": "v4",
  "published": "2004-11-04T15:16:41.000Z",
  "updated": "2007-06-21T17:17:07.000Z",
  "title": "Correlations of the characteristic polynomials in the Gaussian Unitary Ensemble or a singular Hankel determinant",
  "authors": [
    "I. V. Krasovsky"
  ],
  "comment": "35 pages, 5 figures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We obtain large n asymptotics for products of powers of the absolute values of the characteristic polynomials in the Gaussian Unitary Ensemble of n\\times n matrices. Our results can also be interpreted as asymptotics of the determinant of a Hankel matrix whose symbol is supported on the real line and possesses power-like (Fisher-Hartwig) singularities.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2007-06-21T17:17:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gaussian unitary ensemble",
      "singular hankel determinant",
      "characteristic polynomials",
      "correlations",
      "real line"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.ph..11016K"
    }
  }
}