{
  "id": "math/0702002",
  "version": "v1",
  "published": "2007-01-31T22:03:31.000Z",
  "updated": "2007-01-31T22:03:31.000Z",
  "title": "A combinatorial method for calculating the moments of Lévy area",
  "authors": [
    "Daniel Levin",
    "Mark Wildon"
  ],
  "comment": "15 pages, 6 figures",
  "categories": [
    "math.PR",
    "math.CO"
  ],
  "abstract": "We present a new way to compute the moments of the L\\'evy area of a two-dimensional Brownian motion. Our approach uses iterated integrals and combinatorial arguments involving the shuffle product.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-01-31T22:03:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J65",
      "05A15"
    ],
    "keywords": [
      "lévy area",
      "combinatorial method",
      "two-dimensional brownian motion",
      "shuffle product",
      "combinatorial arguments"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2002L"
    }
  }
}