{
  "id": "1510.03504",
  "version": "v1",
  "published": "2015-10-13T01:37:26.000Z",
  "updated": "2015-10-13T01:37:26.000Z",
  "title": "Invariant Radon measures for Unipotent flows and products of Kleinian groups",
  "authors": [
    "Amir Mohammadi",
    "Hee Oh"
  ],
  "comment": "12 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "Let G=PSL(2, F) where F= R or C, and consider the space Z=(\\Gamma_1 x \\Gamma_2)\\ (G x G) where \\Gamma_1<G is a co-compact lattice and \\Gamma_2<G is a finitely generated discrete Zariski dense subgroup. The work of Benoist-Quint gives a classification of all ergodic invariant Radon measures on Z for the diagonal G-action. In this paper, for a horospherical subgroup N of G, we classify all ergodic, conservative, invariant Radon measures on Z for the diagonal N-action, under the additional assumption that \\Gamma_2 is geometrically finite.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-13T01:37:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unipotent flows",
      "kleinian groups",
      "ergodic invariant radon measures",
      "generated discrete zariski dense subgroup"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151003504M"
    }
  }
}