{
  "id": "1103.0194",
  "version": "v2",
  "published": "2011-03-01T15:15:17.000Z",
  "updated": "2012-01-23T19:40:33.000Z",
  "title": "Lower and upper bounds for the Lyapunov exponents of twisting dynamics: a relationship between the exponents and the angle of the Oseledet's splitting",
  "authors": [
    "Marie-Claude Arnaud"
  ],
  "journal": "Ergodic Theory and Dynamical Systems, 1-20 (2012)",
  "doi": "10.1017/S0143385712000065",
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider locally minimizing measures for the conservative twist maps of the $d$-dimensional annulus or for the Tonelli Hamiltonian flows defined on a cotangent bundle $T^*M$. For weakly hyperbolic such measures (i.e. measures with no zero Lyapunov exponents), we prove that the mean distance/angle between the stable and the unstable Oseledet's bundles gives an upper bound of the sum of the positive Lyapunov exponents and a lower bound of the smallest positive Lyapunov exponent. Some more precise results are proved too.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-01-23T19:40:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "upper bound",
      "twisting dynamics",
      "oseledets splitting",
      "relationship",
      "tonelli hamiltonian flows"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.0194A"
    }
  }
}