{
  "id": "0711.3821",
  "version": "v2",
  "published": "2007-11-24T06:32:37.000Z",
  "updated": "2008-09-10T03:54:42.000Z",
  "title": "Unique ergodicity of circle and interval exchange transformations with flips",
  "authors": [
    "C. Gutierrez",
    "S. Lloyd",
    "V. Medvedev",
    "B. Pires",
    "E. Zhuzhoma"
  ],
  "comment": "13 pages, 6 figures; notational changes, smaller figures",
  "journal": "Discrete Contin. Dyn. Syst. 26(1) (2010), 251--263.",
  "doi": "10.3934/dcds.2010.26.251",
  "categories": [
    "math.DS"
  ],
  "abstract": "We study the existence of transitive exchange maps with flips defined on the unit circle. We provide a complete answer to the question of whether there exists a transitive exchange map of the unit circle defined on n subintervals and having f flips.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-09-10T03:54:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E05",
      "37E10"
    ],
    "keywords": [
      "interval exchange transformations",
      "unique ergodicity",
      "transitive exchange map",
      "complete answer",
      "subintervals"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.3821G"
    }
  }
}