{
  "id": "math/0101128",
  "version": "v2",
  "published": "2001-01-16T10:19:31.000Z",
  "updated": "2002-02-07T10:57:53.000Z",
  "title": "Topological and Symbolic Dynamics for Axiom A Diffeomorphisms with Holes",
  "authors": [
    "S. Bundfuss",
    "T. Krueger",
    "S. Troubetzkoy"
  ],
  "comment": "17 pages, no figures",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider an Axiom A diffeomorphism and the invariant set $\\Omega$ of orbits which never falls into a fixed hole. We study various aspects of the complexity of the symbolic representation of $\\Omega$. Our main result are that each topologically transitive component of $\\Omega$ is coded and that typically $\\Omega$ is of finite type.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-02-07T10:57:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D20",
      "37B10"
    ],
    "keywords": [
      "symbolic dynamics",
      "diffeomorphism",
      "invariant set",
      "symbolic representation",
      "main result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......1128B"
    }
  }
}