{
  "id": "2209.06776",
  "version": "v1",
  "published": "2022-09-14T16:52:51.000Z",
  "updated": "2022-09-14T16:52:51.000Z",
  "title": "Equidistribution of hyperbolic groups in homogeneous spaces",
  "authors": [
    "Ilya Gekhtman",
    "Samuel J. Taylor",
    "Giulio Tiozzo"
  ],
  "comment": "18 pages",
  "categories": [
    "math.DS",
    "math.GR",
    "math.GT"
  ],
  "abstract": "We prove that infinite orbits of Zariski dense hyperbolic groups equidistribute in homogeneous spaces, in the sense that the family of measures obtained by averaging along spheres in the Cayley graph converges to Haar measure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-14T16:52:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "homogeneous spaces",
      "zariski dense hyperbolic groups equidistribute",
      "equidistribution",
      "cayley graph converges",
      "haar measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}