{
  "id": "1906.00469",
  "version": "v1",
  "published": "2019-06-02T19:11:59.000Z",
  "updated": "2019-06-02T19:11:59.000Z",
  "title": "Typical behaviour along geodesic rays in hyperbolic groups",
  "authors": [
    "Stephen Cantrell"
  ],
  "comment": "14 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "Let $G$ be a non-elementary hyperbolic group and take a real valued function such as a group homomorphism, quasimorphism or the displacement function associated to the action of $G$ on a hyperbolic metric space. In this paper we study the limiting behaviour of such a function along typical geodesic rays in the Gromov boundary of $G$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-02T19:11:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "typical behaviour",
      "non-elementary hyperbolic group",
      "hyperbolic metric space",
      "group homomorphism",
      "displacement function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}