{
  "id": "1606.00131",
  "version": "v1",
  "published": "2016-06-01T06:35:35.000Z",
  "updated": "2016-06-01T06:35:35.000Z",
  "title": "Unique SRB measures and transitivity for Anosov diffeomorphisms",
  "authors": [
    "Paulo Varandas"
  ],
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove that every $C^2$ Anosov diffeomorphism in a compact and connected Riemannian manifold has a unique SRB and physical probability measure, whose basin of attraction covers Lebesgue almost every point in the manifold. Then, we use structural stability of Anosov diffeomorphisms to deduce that all $C^1$ Anosov diffeomorphisms on compact and connected Riemannian manifolds are transitive.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-01T06:35:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "anosov diffeomorphism",
      "unique srb measures",
      "connected riemannian manifold",
      "transitivity",
      "attraction covers lebesgue"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}