{
  "id": "1408.2977",
  "version": "v1",
  "published": "2014-08-13T11:12:31.000Z",
  "updated": "2014-08-13T11:12:31.000Z",
  "title": "Relations between cumulants in noncommutative probability",
  "authors": [
    "Octavio Arizmendi",
    "Takahiro Hasebe",
    "Franz Lehner",
    "Carlos Vargas"
  ],
  "comment": "27 pages, 7 figures, AMS LaTeX",
  "categories": [
    "math.CO",
    "math.OA"
  ],
  "abstract": "We express classical, free, Boolean and monotone cumulants in terms of each other, using combinatorics of heaps, pyramids, Tutte polynomials and permutations. We completely determine the coefficients of these formulas with the exception of the formula for classical cumulants in terms of monotone cumulants whose coefficients are only partially computed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-13T11:12:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A18",
      "46L53"
    ],
    "keywords": [
      "noncommutative probability",
      "monotone cumulants",
      "tutte polynomials",
      "coefficients",
      "classical cumulants"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.2977A"
    }
  }
}