{
  "id": "0801.0466",
  "version": "v1",
  "published": "2008-01-03T13:04:43.000Z",
  "updated": "2008-01-03T13:04:43.000Z",
  "title": "Minimality and nonergodicity on a family of flat surfaces in genus 3",
  "authors": [
    "Emanuel Nipper"
  ],
  "comment": "10 pages, 3 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that a certain family of flat surfaces in genus 3 does not fulfill Veech's Dichotomy. These flat surfaces provide uncountably many minimal but nonergodic directions. The conditions on this family are a combinatorical one and an irrationality condition. The Arnoux-Yoccoz surface fulfills this conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-03T13:04:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D40",
      "37E35"
    ],
    "keywords": [
      "flat surfaces",
      "minimality",
      "nonergodicity",
      "fulfill veechs dichotomy",
      "arnoux-yoccoz surface fulfills"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.0466N"
    }
  }
}