{
  "id": "1104.2272",
  "version": "v5",
  "published": "2011-04-12T17:00:11.000Z",
  "updated": "2012-02-05T21:41:34.000Z",
  "title": "Universality of General $β$-Ensembles",
  "authors": [
    "Paul Bourgade",
    "Laszlo Erdos",
    "Horng-Tzer Yau"
  ],
  "comment": "Sep 21, 2011: Lemma 3.9 was corrected. Feb 5: Some typos in Lemma 5.9 were corrected",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove the universality of the $\\beta$-ensembles with convex analytic potentials and for any $\\beta>0$, i.e. we show that the spacing distributions of log-gases at any inverse temperature $\\beta$ coincide with those of the Gaussian $\\beta$-ensembles.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2012-02-05T21:41:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15B52",
      "82B44"
    ],
    "keywords": [
      "universality",
      "convex analytic potentials",
      "inverse temperature",
      "spacing distributions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.2272B"
    }
  }
}