{
  "id": "1207.7258",
  "version": "v1",
  "published": "2012-07-31T14:26:49.000Z",
  "updated": "2012-07-31T14:26:49.000Z",
  "title": "Free Infinite Divisibility for Ultrasphericals",
  "authors": [
    "Octavio Arizmendi",
    "Serban T. Belinschi"
  ],
  "comment": "10 pages",
  "categories": [
    "math.PR",
    "math.OA"
  ],
  "abstract": "We prove that the integral powers of the semicircular distribution are freely infinitely divisible. As a byproduct we get another proof of the free infnite divisibility of the classical Gaussian distribution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-07-31T14:26:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L54",
      "46L50",
      "60E07"
    ],
    "keywords": [
      "free infinite divisibility",
      "ultrasphericals",
      "free infnite divisibility",
      "integral powers",
      "classical gaussian distribution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.7258A"
    }
  }
}