{
  "id": "1001.4337",
  "version": "v1",
  "published": "2010-01-25T08:07:32.000Z",
  "updated": "2010-01-25T08:07:32.000Z",
  "title": "The Graph and Range Singularity Spectra of Random Wavelet Series built from Gibbs measures",
  "authors": [
    "Xiong Jin"
  ],
  "comment": "30 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider multifractal random wavelet series built from Gibbs measures, and study the singularity spectra associated with the graph and range of these functions restricted to their iso-H\\\"older sets. To obtain these singularity spectra, we use a family of Gibbs measures defined on a sequence of topologically transitive subshift of finite type whose Hausdorff distance to the set of zeros of the mother wavelet tends to 0.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-01-25T08:07:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D35"
    ],
    "keywords": [
      "gibbs measures",
      "range singularity spectra",
      "multifractal random wavelet series built",
      "mother wavelet tends"
    ],
    "publication": {
      "doi": "10.1088/0951-7715/23/6/010",
      "journal": "Nonlinearity",
      "year": 2010,
      "month": "Jun",
      "volume": 23,
      "number": 6,
      "pages": 1449
    },
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010Nonli..23.1449J"
    }
  }
}