{
  "id": "1306.5451",
  "version": "v1",
  "published": "2013-06-23T18:26:24.000Z",
  "updated": "2013-06-23T18:26:24.000Z",
  "title": "Natural extensions for piecewise affine maps via Hofbauer towers",
  "authors": [
    "Henk Bruin",
    "Charlene Kalle"
  ],
  "comment": "19 pages, 8 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We use canonical Markov extensions (Hofbauer towers) to give an explicit construction of the natural extensions of various measure preserving endomorphisms, and present some applications to particular examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-23T18:26:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E05",
      "58F11",
      "28D05",
      "37A05"
    ],
    "keywords": [
      "piecewise affine maps",
      "natural extensions",
      "hofbauer towers",
      "canonical markov extensions",
      "explicit construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.5451B"
    }
  }
}