{
  "id": "math/0310235",
  "version": "v1",
  "published": "2003-10-16T01:14:05.000Z",
  "updated": "2003-10-16T01:14:05.000Z",
  "title": "Uniform distribution of orbits of lattices on spaces of frames",
  "authors": [
    "Alexander Gorodnik"
  ],
  "comment": "To be published in Duke Math. Journal, 31 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We study distribution of orbits of a lattice \\Gamma<SL(n,R) in the the space V_{n,l} of l-frames in R^n (1\\le l\\le n-1). Examples of dense \\Gamma-orbits are known from the work of Dani, Raghavan, and Veech. We show that dense orbits of \\Gamma are uniformly distributed in V_{n,l} with respect to an explicitly described measure. We also establish analogous result for lattices in Sp(n,R) that act on the space of isotropic n-frames.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-10-16T01:14:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A15",
      "22E40",
      "37A17"
    ],
    "keywords": [
      "uniform distribution",
      "study distribution",
      "dense orbits",
      "isotropic n-frames",
      "establish analogous result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....10235G"
    }
  }
}