{
  "id": "1704.06541",
  "version": "v1",
  "published": "2017-04-21T13:48:20.000Z",
  "updated": "2017-04-21T13:48:20.000Z",
  "title": "Critical exponent for geodesic currents",
  "authors": [
    "Olivier Glorieux"
  ],
  "categories": [
    "math.MG",
    "math.DG"
  ],
  "abstract": "For any geodesic current we associated a quasi-metric space. For a subclass of geodesic currents, called filling, it defines a metric and we study the critical exponent associated to this space. We show that is is equal to the exponential growth rate of the intersection function for closed curves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-21T13:48:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "geodesic current",
      "critical exponent",
      "exponential growth rate",
      "quasi-metric space",
      "intersection function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}