{
  "id": "1111.2378",
  "version": "v2",
  "published": "2011-11-10T00:48:42.000Z",
  "updated": "2013-02-19T22:10:50.000Z",
  "title": "On torus homeomorphisms whose rotation set is an interval",
  "authors": [
    "Pablo Dávalos"
  ],
  "comment": "50 pages, 17 figures. Addendum B was added. Accepted and corrected version, to appear in Math. Z",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that for a torus homeomorphism isotopic to the identity and with a lift whose rotation set is an interval, either every rational point in the rotation set is realized by a periodic orbit, or there exists an annular, essential, periodic set. In the latter case we give a qualitative description of the dynamics.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-19T22:10:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rotation set",
      "torus homeomorphism isotopic",
      "rational point",
      "periodic orbit",
      "periodic set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 50,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.2378D"
    }
  }
}