{
  "id": "0909.0210",
  "version": "v2",
  "published": "2009-09-01T15:45:27.000Z",
  "updated": "2009-11-05T11:27:35.000Z",
  "title": "Multifractal analysis for Bedford-McMullen carpets",
  "authors": [
    "Thomas Jordan",
    "Michal Rams"
  ],
  "comment": "11 pages. We have added more detail to the proofs of lemmas 2,3 and 4 as well as correcting a few errors",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper we compute the multifractal analysis for local dimensions of Bernoulli measures supported on the self-affine carpets introduced by Bedford-McMullen. This extends the work of King where the multifractal analysis is computed with strong additional separation assumptions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-11-05T11:27:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C45"
    ],
    "keywords": [
      "multifractal analysis",
      "bedford-mcmullen carpets",
      "strong additional separation assumptions",
      "local dimensions",
      "self-affine carpets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.0210J"
    }
  }
}