{
  "id": "1601.04025",
  "version": "v1",
  "published": "2016-01-15T18:17:46.000Z",
  "updated": "2016-01-15T18:17:46.000Z",
  "title": "A link between Topological Entropy and Lyapunov Exponents",
  "authors": [
    "Thiago Catalan"
  ],
  "comment": "17 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that a $C^1-$generic non partially hyperbolic symplectic diffeomorphism $f$ has topological entropy equal to the supremum of the sum of the positive Lyapunov exponents of its hyperbolic periodic points. Moreover, we also prove that $f$ has topological entropy approximated by the topological entropy of $f$ restrict to basic hyperbolic sets. In particular, the topological entropy map is lower semicontinuous in a $C^1-$generic set of symplectic diffeomorphisms far from partial hyperbolicity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-15T18:17:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological entropy",
      "lyapunov exponents",
      "generic non partially hyperbolic symplectic",
      "non partially hyperbolic symplectic diffeomorphism",
      "hyperbolic periodic points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}