{
  "id": "1211.0454",
  "version": "v1",
  "published": "2012-11-02T14:23:52.000Z",
  "updated": "2012-11-02T14:23:52.000Z",
  "title": "Local dimensions for the random beta-transformation",
  "authors": [
    "Karma Dajani",
    "Charlene Kalle"
  ],
  "comment": "19 pages, 3 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "The random beta-transformation K is isomorphic to a full shift. This relation gives an invariant measure for K that yields the Bernoulli convolution by projection. We study the local dimension of the invariant measure for K for special values of beta and use the projection to obtain results on the local dimension of the Bernoulli convolution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-02T14:23:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A05",
      "37C45",
      "11K16",
      "42A85"
    ],
    "keywords": [
      "local dimension",
      "random beta-transformation",
      "invariant measure",
      "bernoulli convolution",
      "projection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.0454D"
    }
  }
}