{
  "id": "0803.0926",
  "version": "v1",
  "published": "2008-03-06T17:48:23.000Z",
  "updated": "2008-03-06T17:48:23.000Z",
  "title": "On the Second-Order Correlation Function of the Characteristic Polynomial of a Hermitian Wigner Matrix",
  "authors": [
    "F. Götze",
    "H. Kösters"
  ],
  "comment": "20 pages",
  "doi": "10.1007/s00220-008-0544-z",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider the asymptotics of the second-order correlation function of the characteristic polynomial of a random matrix. We show that the known result for a random matrix from the Gaussian Unitary Ensemble essentially continues to hold for a general Hermitian Wigner matrix. Our proofs rely on an explicit formula for the exponential generating function of the second-order correlation function of the characteristic polynomial.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-06T17:48:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60B99",
      "15A52"
    ],
    "keywords": [
      "second-order correlation function",
      "characteristic polynomial",
      "general hermitian wigner matrix",
      "random matrix",
      "gaussian unitary ensemble essentially continues"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Communications in Mathematical Physics",
      "year": 2009,
      "month": "Feb",
      "volume": 285,
      "number": 3,
      "pages": 1183
    },
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009CMaPh.285.1183G"
    }
  }
}