{
  "id": "1212.0889",
  "version": "v1",
  "published": "2012-12-04T22:04:58.000Z",
  "updated": "2012-12-04T22:04:58.000Z",
  "title": "Polynomial decay of correlations in linked-twist maps",
  "authors": [
    "J. Springham",
    "R. Sturman"
  ],
  "categories": [
    "math.DS",
    "nlin.CD"
  ],
  "abstract": "Linked-twist maps are area-preserving, piece-wise diffeomorphisms, defined on a subset of the torus. They are non-uniformly hyperbolic generalisations of the well-known Arnold Cat Map. We show that a class of canonical examples have polynomial decay of correlations for \\alpha-H\\\"{o}lder observables, of order 1/n.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-04T22:04:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "polynomial decay",
      "linked-twist maps",
      "correlations",
      "well-known arnold cat map",
      "non-uniformly hyperbolic generalisations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.0889S"
    }
  }
}