{
  "id": "math/0305200",
  "version": "v1",
  "published": "2003-05-14T13:28:15.000Z",
  "updated": "2003-05-14T13:28:15.000Z",
  "title": "On the uniqueness of the branching parameter for a random cascade measure",
  "authors": [
    "G. Molchan"
  ],
  "comment": "18 pages, no figures",
  "doi": "10.1023/B:JOSS.0000022382.88228.fd",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "An independent random cascade measure is specified by a random generator, a vector of dimension c with non-negative components. The dimension c is called the branching cascade parameter. It is shown under certain restrictions that, if this measure has two generators with a.s. positive components, and the ratio ln c_1/ln c_2 for their branching parameters is an irrational number, then this measure is a Lebesgue measure. In other words, when c is a power of an integer number p and the p is minimal for c, then a cascade measure that has the property of intermittency specifies p uniquely.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-05-14T13:28:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G57",
      "60G18"
    ],
    "keywords": [
      "branching parameter",
      "uniqueness",
      "independent random cascade measure",
      "branching cascade parameter",
      "intermittency specifies"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}