{
  "id": "1105.3463",
  "version": "v1",
  "published": "2011-05-17T19:30:03.000Z",
  "updated": "2011-05-17T19:30:03.000Z",
  "title": "Intersections of certain deleted digits sets",
  "authors": [
    "Steen Pedersen",
    "Jason Phillips"
  ],
  "comment": "15 pages, 5 figures",
  "journal": "Fractals, Volume: 20, Issue: 1 (March 2012), Page: 105-115",
  "doi": "10.1142/S0218348X11005518",
  "categories": [
    "math.MG"
  ],
  "abstract": "We consider some properties of the intersection of deleted digits Cantor sets with their translates. We investigate conditions on the set of digits such that, for any t between zero and the dimension of the deleted digits Cantor set itself, the set of translations such that the intersection has Hausdorff dimension equal to t is dense in the set F of translations such that the intersection is non-empty. We make some simple observations regarding properties of the set F, in particular, we characterize when F is an interval, in terms of conditions on the digit set.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-17T19:30:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28A80"
    ],
    "keywords": [
      "deleted digits sets",
      "intersection",
      "deleted digits cantor set",
      "hausdorff dimension equal",
      "simple observations regarding properties"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.3463P"
    }
  }
}