{
  "id": "1707.07571",
  "version": "v1",
  "published": "2017-07-24T14:21:51.000Z",
  "updated": "2017-07-24T14:21:51.000Z",
  "title": "Asymptotic properties of the density of particles in $β$-ensembles",
  "authors": [
    "Martina Dal Borgo",
    "Emma Hovhannisyan",
    "Alain Rouault"
  ],
  "comment": "26 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We extend recent results on the Asymptotic Equipartition Property for the density of $n$ particles in $\\beta$-ensembles, as $n$ tends to infinity. We prove the Large Deviation Principle of the log-density for a general potential and the mod-gaussian convergence in the classical examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-24T14:21:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "15B52",
      "94A17"
    ],
    "keywords": [
      "asymptotic properties",
      "asymptotic equipartition property",
      "large deviation principle",
      "general potential",
      "mod-gaussian convergence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}