{
  "id": "1907.00347",
  "version": "v1",
  "published": "2019-06-30T09:56:24.000Z",
  "updated": "2019-06-30T09:56:24.000Z",
  "title": "Universal constraints on semigroups of hyperbolic isometries",
  "authors": [
    "Argyrios Christodoulou"
  ],
  "comment": "15 pages, 7 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "A semigroup generated by a finite collection of isometries of the hyperbolic plane is called semidiscrete if its elements do not accumulate at the identity transformation in the topology of uniform convergence on compact sets. In this paper we obtain geometric constraints on the generators of a finitely-generated semigroup which imply that the semigroup is semidiscrete.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-30T09:56:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hyperbolic isometries",
      "universal constraints",
      "geometric constraints",
      "semidiscrete",
      "finite collection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}