{
  "id": "1301.4637",
  "version": "v1",
  "published": "2013-01-20T07:18:50.000Z",
  "updated": "2013-01-20T07:18:50.000Z",
  "title": "Srb Measures For Almost Axiom A Diffeomorphisms",
  "authors": [
    "José F. Alves",
    "Renaud Leplaideur"
  ],
  "comment": "25 pages, 2 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider a diffeomorphism f of a compact manifold M which is Almost Axiom A, i.e. f is hyperbolic in a neighborhood of some compact f-invariant set, except in some singular set of neutral points. We prove that if there exists some f-invariant set of hyperbolic points with positive unstable-Lebesgue measure such that for every point in this set the stable and unstable leaves are \"long enough\", then f admits a probability SRB measure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-01-20T07:18:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "diffeomorphism",
      "probability srb measure",
      "compact f-invariant set",
      "singular set",
      "compact manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.4637A"
    }
  }
}