{
  "id": "math/0210443",
  "version": "v2",
  "published": "2002-10-29T14:26:47.000Z",
  "updated": "2003-02-19T09:43:52.000Z",
  "title": "Cumulants in noncommutative probability II. Generalized Gaussian random variables",
  "authors": [
    "Franz Lehner"
  ],
  "comment": "14 pages, AMS-LaTeX; many corrections according to the referee; to appear in Prob Th Rel Fields",
  "journal": "Probab. Theory Related Fields 127 (2003), no. 3, 407--422",
  "doi": "10.1007/s00440-003-0292-0",
  "categories": [
    "math.CO",
    "math.OA"
  ],
  "abstract": "We continue the investigation of noncommutative cumulants. In this paper various characterizations of noncommutative Gaussian random variables are proved.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-02-19T09:43:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L53",
      "05A18"
    ],
    "keywords": [
      "generalized gaussian random variables",
      "noncommutative probability",
      "noncommutative gaussian random variables",
      "investigation",
      "characterizations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....10443L"
    }
  }
}