{
  "id": "math/0105150",
  "version": "v2",
  "published": "2001-05-17T09:04:10.000Z",
  "updated": "2001-09-25T10:09:01.000Z",
  "title": "Inhomogeneous Diophantine Approximation and Angular Recurrence for Polygonal Billiards",
  "authors": [
    "Joerg Schmeling",
    "Serge Troubetzkoy"
  ],
  "comment": "13 pages, 1 figure",
  "journal": "Mat. Sbornik 194 (2003) 295-309.",
  "categories": [
    "math.DS",
    "math.NT"
  ],
  "abstract": "For a given rotation number we compute the Hausdorff dimension of the set of well approximable numbers. We use this result and an inhomogeneous version of Jarnik's theorem to show strong recurrence properties of the billiard flow in certain polygons",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-09-25T10:09:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "inhomogeneous diophantine approximation",
      "angular recurrence",
      "polygonal billiards",
      "strong recurrence properties",
      "billiard flow"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......5150S"
    }
  }
}