{
  "id": "1204.5158",
  "version": "v1",
  "published": "2012-04-23T19:39:19.000Z",
  "updated": "2012-04-23T19:39:19.000Z",
  "title": "Distribution of orbits in $\\R^2$ of a finitely generated group of $\\SL(2,\\R)$",
  "authors": [
    "François Maucourant",
    "Barbara Schapira"
  ],
  "categories": [
    "math.DS",
    "math.GR"
  ],
  "abstract": "In this work, we study the asymptotic distribution of the non discrete orbits of a finitely generated group acting linearly on $\\R^2$. To do this, we establish new equidistribution results for the horocyclic flow on the unitary tangent bundle of the associated surface.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-23T19:39:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finitely generated group",
      "generated group acting",
      "non discrete orbits",
      "unitary tangent bundle",
      "asymptotic distribution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.5158M"
    }
  }
}