{
  "id": "math/0702481",
  "version": "v2",
  "published": "2007-02-16T13:00:02.000Z",
  "updated": "2007-05-04T17:25:37.000Z",
  "title": "Central Limit Theorem for a Class of Relativistic Diffusions",
  "authors": [
    "Jürgen Angst",
    "Jacques Franchi"
  ],
  "comment": "20 pages",
  "doi": "10.1063/1.2759441",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Two similar Minkowskian diffusions have been considered, on one hand by Barbachoux, Debbasch, Malik and Rivet ([BDR1], [BDR2], [BDR3], [DMR], [DR]), and on the other hand by Dunkel and H\\\"anggi ([DH1], [DH2]). We address here two questions, asked in [DR] and in ([DH1], [DH2]) respectively, about the asymptotic behaviour of such diffusions. More generally, we establish a central limit theorem for a class of Minkowskian diffusions, to which the two above ones belong. As a consequence, we correct a partially wrong guess in [DH1].",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-05-04T17:25:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J60",
      "83A05",
      "60J65"
    ],
    "keywords": [
      "central limit theorem",
      "relativistic diffusions",
      "similar minkowskian diffusions",
      "asymptotic behaviour",
      "partially wrong guess"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}