{
  "id": "1705.08860",
  "version": "v1",
  "published": "2017-05-24T16:50:01.000Z",
  "updated": "2017-05-24T16:50:01.000Z",
  "title": "Geometric growth for Anosov maps on the $3$ torus",
  "authors": [
    "Mauricio Poletti"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that for Anosov maps of the $3$-torus if the Lyapunov exponents of absolutely continuous measures in every direction are equal to the geometric growth of the invariant foliations then $f$ is $C^1$ conjugated to his linear part.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-24T16:50:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "anosov maps",
      "geometric growth",
      "lyapunov exponents",
      "invariant foliations",
      "linear part"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}