{
  "id": "0812.3228",
  "version": "v1",
  "published": "2008-12-17T09:32:17.000Z",
  "updated": "2008-12-17T09:32:17.000Z",
  "title": "Edge Universality for Orthogonal Ensembles of Random Matrices",
  "authors": [
    "Maria Shcherbina"
  ],
  "comment": "14 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove edge universality of local eigenvalue statistics for orthogonal invariant matrix models with real analytic potentials and one interval limiting spectrum. Our starting point is the result of \\cite{S:08} on the representation of the reproducing matrix kernels of orthogonal ensembles in terms of scalar reproducing kernel of corresponding unitary ensemble.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-17T09:32:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A52",
      "15A57"
    ],
    "keywords": [
      "orthogonal ensembles",
      "edge universality",
      "random matrices",
      "orthogonal invariant matrix models",
      "local eigenvalue statistics"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s10955-009-9766-5",
      "journal": "Journal of Statistical Physics",
      "year": 2009,
      "month": "Jul",
      "volume": 136,
      "number": 1,
      "pages": 35
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009JSP...136...35S"
    }
  }
}