{
  "id": "1606.07771",
  "version": "v1",
  "published": "2016-06-24T17:58:47.000Z",
  "updated": "2016-06-24T17:58:47.000Z",
  "title": "On the number of periodic geodesics in rank 1 surfaces",
  "authors": [
    "Abdelhamid Amroun"
  ],
  "comment": "9 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider the geodesic flow of a compact connected rank 1 surface. We prove a formula for the topological pressure as the exponential growth rate of rank 1 periodic geodesics generalizing a previous result of K. Gelfert and B. Schapira [12].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-24T17:58:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D40"
    ],
    "keywords": [
      "exponential growth rate",
      "geodesic flow",
      "compact connected rank",
      "periodic geodesics generalizing",
      "topological pressure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}