{
  "id": "0910.2694",
  "version": "v2",
  "published": "2009-10-14T19:29:27.000Z",
  "updated": "2011-04-11T20:10:43.000Z",
  "title": "Shrinking targets for IETs: Extending a theorem of Kurzweil",
  "authors": [
    "Jon Chaika"
  ],
  "comment": "22 pages. Substantially revised",
  "categories": [
    "math.DS",
    "math.NT"
  ],
  "abstract": "This paper proves shrinking target results for IETs. Let {a_1\\geq a_2 \\geq...} be a sequence of positive real numbers with divergent sum. Then for almost every IET T, the limsup of B(T^ix,a_i) has full Lebesgue measure (where B(z, e) is the open ball around z of radius e). Related results are established including the analogous result for geodesic flows on a translation surface.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-04-11T20:10:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E05",
      "37A25",
      "11J99"
    ],
    "keywords": [
      "full lebesgue measure",
      "shrinking target results",
      "translation surface",
      "open ball",
      "positive real numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.2694C"
    }
  }
}