{
  "id": "1912.03808",
  "version": "v1",
  "published": "2019-12-09T01:25:09.000Z",
  "updated": "2019-12-09T01:25:09.000Z",
  "title": "Topological flows for hyperbolic groups",
  "authors": [
    "Ryokichi Tanaka"
  ],
  "categories": [
    "math.DS",
    "math.GR"
  ],
  "abstract": "We show that for every non-elementary hyperbolic group the Bowen-Margulis current associated with a strongly hyperbolic metric forms a unique group-invariant Radon measure class of maximal Hausdorff dimension on the boundary square. Applications include a characterization of roughly similar hyperbolic metrics via mean distortion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-09T01:25:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological flows",
      "unique group-invariant radon measure class",
      "strongly hyperbolic metric forms",
      "maximal hausdorff dimension",
      "non-elementary hyperbolic group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}