{
  "id": "1107.3230",
  "version": "v3",
  "published": "2011-07-16T12:59:18.000Z",
  "updated": "2011-11-29T14:40:52.000Z",
  "title": "A Central Limit Theorem for a sequence of Brownian motions in the unit sphere in Rn",
  "authors": [
    "Stavros Vakeroudis",
    "Marc Yor"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We use a Stochastic Differential Equation satisfied by Brownian motion taking values in the unit sphere $S_{n-1}subsetmathbb{R}^{n}$ and we obtain a Central Limit Theorem for a sequence of such Brownian motions. We also generalize the results to the case of the $n$-dimensional Ornstein-Uhlenbeck processes.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-11-29T14:40:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "central limit theorem",
      "brownian motion",
      "unit sphere",
      "dimensional ornstein-uhlenbeck processes",
      "stochastic differential equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.3230V"
    }
  }
}