{
  "id": "0809.4436",
  "version": "v1",
  "published": "2008-09-25T15:38:08.000Z",
  "updated": "2008-09-25T15:38:08.000Z",
  "title": "Multifractal analysis for conformal graph directed Markov systems",
  "authors": [
    "Mario Roy",
    "Mariusz Urbanski"
  ],
  "comment": "26 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We derive the multifractal analysis of the conformal measure (or equivalently, the invariant measure) associated to a family of weights imposed upon a (multi-dimensional) graph directed Markov system (GDMS) using balls as the filtration. This analysis is done over a large subset of the limit set. In particular, it coincides with the limit set when the GDMS under scrutiny satisfies a boundary separation condition. It also applies to more general situations such as real or complex continued fractions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-09-25T15:38:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conformal graph directed markov systems",
      "multifractal analysis",
      "limit set",
      "boundary separation condition",
      "conformal measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.4436R"
    }
  }
}