{
  "id": "1012.2320",
  "version": "v2",
  "published": "2010-12-10T17:00:15.000Z",
  "updated": "2011-05-03T20:01:55.000Z",
  "title": "On the abundance of non-zero central Lyapunov exponents, physical measures and stable ergodicity for partially hyperbolic dynamics",
  "authors": [
    "Vitor Araujo",
    "Carlos H. Vasquez"
  ],
  "comment": "27 pages, 5 figures; main theorem with strong hypothesis; proofs corrected",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We show that the time-1 map of an Anosov flow, whose strong-unstable foliation is $C^2$ smooth and minimal, is $C^2$ close to a diffeomorphism having positive central Lyapunov exponent Lebesgue almost everywhere and a unique physical measure with full basin, which is $C^r$ stably ergodic. Our method is perturbative and does not rely on preservation of a smooth measure.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-05-03T20:01:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D30",
      "37D25",
      "37A25"
    ],
    "keywords": [
      "non-zero central lyapunov exponents",
      "partially hyperbolic dynamics",
      "physical measure",
      "stable ergodicity",
      "positive central lyapunov exponent lebesgue"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.2320A"
    }
  }
}