{
  "id": "1111.2761",
  "version": "v1",
  "published": "2011-11-11T14:50:40.000Z",
  "updated": "2011-11-11T14:50:40.000Z",
  "title": "Right tail expansion of Tracy-Widom beta laws",
  "authors": [
    "Gaëtan Borot",
    "Céline Nadal"
  ],
  "comment": "23 pages",
  "journal": "Random Matrices: Theory and Applications (2012)",
  "doi": "10.1142/S2010326312500062",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Using loop equations, we compute the large deviation function of the maximum eigenvalue to the right of the spectrum in the Gaussian beta matrix ensembles, to all orders in 1/N. We then give a physical derivation of the all order asymptotic expansion of the right tail Tracy-Widom beta laws, for all positive beta, by studying the double scaling limit.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-11T14:50:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60Bxx",
      "82Bxx",
      "30Exx"
    ],
    "keywords": [
      "right tail expansion",
      "right tail tracy-widom beta laws",
      "gaussian beta matrix ensembles",
      "large deviation function",
      "order asymptotic expansion"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.2761B"
    }
  }
}