{
  "id": "0901.4621",
  "version": "v1",
  "published": "2009-01-29T08:44:00.000Z",
  "updated": "2009-01-29T08:44:00.000Z",
  "title": "Geometry of the Central Limit Theorem in the Nonextensive Case",
  "authors": [
    "C. Vignat",
    "A. Plastino"
  ],
  "comment": "3 figures",
  "doi": "10.1016/j.physleta.2009.03.029",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We uncover geometric aspects that underlie the sum of two independent stochastic variables when both are governed by q-Gaussian probability distributions. The pertinent discussion is given in terms of random vectors uniformly distributed on a p-sphere.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-01-29T08:44:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "central limit theorem",
      "nonextensive case",
      "q-gaussian probability distributions",
      "independent stochastic variables",
      "uncover geometric aspects"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Physics Letters A",
      "year": 2009,
      "month": "Apr",
      "volume": 373,
      "number": 20,
      "pages": 1713
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009PhLA..373.1713V"
    }
  }
}