{
  "id": "math/0510673",
  "version": "v1",
  "published": "2005-10-31T09:52:17.000Z",
  "updated": "2005-10-31T09:52:17.000Z",
  "title": "Absolutely continuous invariant measures for some piecewise hyperbolic affine maps",
  "authors": [
    "Tomas Persson"
  ],
  "comment": "18 pages, 1 figure",
  "categories": [
    "math.DS"
  ],
  "abstract": "A class of piecewise affine hyperbolic maps on a bounded subset of the plane is considered. It is shown that if a map from this class is sufficiently area-expanding then almost surely this map has an absolutely continuous invariant measure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-10-31T09:52:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D50"
    ],
    "keywords": [
      "absolutely continuous invariant measure",
      "piecewise hyperbolic affine maps",
      "piecewise affine hyperbolic maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....10673P"
    }
  }
}