{
  "id": "1703.03086",
  "version": "v1",
  "published": "2017-03-09T00:38:59.000Z",
  "updated": "2017-03-09T00:38:59.000Z",
  "title": "Invariant measures for the actions of the modular group",
  "authors": [
    "Shilei Fan",
    "Yanqi Qiu"
  ],
  "comment": "5pages, two figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this note, we give a nature action of the modular group on the ends of the infinite (p + 1)-cayley tree, for each prime p. We show that there is a unique invariant probability measure for each p.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-09T00:38:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "modular group",
      "invariant measures",
      "unique invariant probability measure",
      "nature action"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}