{
  "id": "1010.3372",
  "version": "v1",
  "published": "2010-10-16T19:42:57.000Z",
  "updated": "2010-10-16T19:42:57.000Z",
  "title": "Maximizing measures for partially hyperbolic systems with compact center leaves",
  "authors": [
    "F. Rodriguez Hertz",
    "M. A. Rodriguez Hertz",
    "A. Tahzibi",
    "R. Ures"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We obtain the following dichotomy for accessible partially hyperbolic diffeomorphisms of 3-dimensional manifolds having compact center leaves: either there is a unique entropy maximizing measure, this measure has the Bernoulli property and its center Lyapunov exponent is 0 or, there is a finite number of entropy maximizing measures, all of them with nonzero center Lyapunov exponent (at least one with negative exponent and one with positive exponent), that are finite extensions of a Bernoulli system. In the first case of the dichotomy we obtain that the system is topologically conjugated to a rotation extension of a hyperbolic system. This implies that the second case of the dichotomy holds for an open and dense set of diffeomorphisms in the hypothesis of our result. As a consequence we obtain an open set of topologically mixing diffeomorphisms having more than one entropy maximizing measure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-16T19:42:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compact center leaves",
      "partially hyperbolic systems",
      "nonzero center lyapunov exponent",
      "unique entropy maximizing measure",
      "diffeomorphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.3372R"
    }
  }
}