{
  "id": "1004.2585",
  "version": "v3",
  "published": "2010-04-15T09:20:02.000Z",
  "updated": "2011-09-15T19:25:34.000Z",
  "title": "Equidistribution results for geodesic flows",
  "authors": [
    "Abdelhamid Amroun"
  ],
  "comment": "25 pages",
  "doi": "10.1017/etds.2012.153",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "Using the works of Ma\\~n\\'e \\cite{Ma} and Paternain \\cite{Pat} we study the distribution of geodesic arcs with respect to equilibrium states of the geodesic flow on a closed manifold, equipped with a $\\mathcal{C}^{\\infty}$ Riemannian metric. We prove large deviations lower and upper bounds and a contraction principle for the geodesic flow in the space of probability measures of the unit tangent bundle. We deduce a way of approximating equilibrium states for continuous potentials.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-09-15T19:25:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D35"
    ],
    "keywords": [
      "geodesic flow",
      "equidistribution results",
      "large deviations lower",
      "unit tangent bundle",
      "riemannian metric"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.2585A"
    }
  }
}