{
  "id": "0805.3044",
  "version": "v2",
  "published": "2008-05-20T10:35:16.000Z",
  "updated": "2008-06-05T20:37:21.000Z",
  "title": "Asymptotics of Characteristic Polynomials of Wigner Matrices at the Edge of the Spectrum",
  "authors": [
    "Holger Kösters"
  ],
  "comment": "15 pages; minor changes",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We investigate the asymptotic behaviour of the second-order correlation function of the characteristic polynomial of a Hermitian Wigner matrix at the edge of the spectrum. We show that the suitably rescaled second-order correlation function is asymptotically given by the Airy kernel, thereby generalizing the well-known result for the Gaussian Unitary Ensemble (GUE). Moreover, we obtain similar results for real-symmetric Wigner matrices.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-06-05T20:37:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60B99",
      "15A52"
    ],
    "keywords": [
      "characteristic polynomial",
      "suitably rescaled second-order correlation function",
      "hermitian wigner matrix",
      "real-symmetric wigner matrices",
      "well-known result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.3044K"
    }
  }
}