{
  "id": "0812.2552",
  "version": "v1",
  "published": "2008-12-13T14:28:40.000Z",
  "updated": "2008-12-13T14:28:40.000Z",
  "title": "A Bernoulli linked-twist map in the plane",
  "authors": [
    "James Springham",
    "Stephen Wiggins"
  ],
  "comment": "13 pages, 8 figures, high quality figures on request",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that a Lebesgue measure-preserving linked-twist map defined in the plane is metrically isomorphic to a Bernoulli shift (and thus strongly mixing). This is the first such result for an explicitly defined linked-twist map on a manifold other than the two-torus. Our work builds on that of Wojtkowski who established an ergodic partition for this example using an invariant cone-field in the tangent space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-13T14:28:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bernoulli linked-twist map",
      "tangent space",
      "bernoulli shift",
      "lebesgue measure-preserving linked-twist map",
      "explicitly defined linked-twist map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.2552S"
    }
  }
}