{
  "id": "1004.1623",
  "version": "v1",
  "published": "2010-04-09T18:50:18.000Z",
  "updated": "2010-04-09T18:50:18.000Z",
  "title": "Autocorrelations of the characteristic polynomial of a random matrix under microscopic scaling",
  "authors": [
    "Rowan Killip",
    "Eric Ryckman"
  ],
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We calculate the autocorrelation function for the characteristic polynomial of a random matrix in the microscopic scaling regime. While results fitting this description have be proved before, we will cover all values of inverse temperature $\\beta \\in (0,\\infty)$. The method also differs from prior work, relying on matrix models introduced by Killip and Nenciu.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-04-09T18:50:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60B20"
    ],
    "keywords": [
      "random matrix",
      "characteristic polynomial",
      "microscopic scaling regime",
      "autocorrelation function",
      "inverse temperature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.1623K"
    }
  }
}