{
  "id": "math/0608002",
  "version": "v1",
  "published": "2006-07-31T23:12:12.000Z",
  "updated": "2006-07-31T23:12:12.000Z",
  "title": "Hausdorff dimension of the set of points on divergent trajectories of a homogeneous flow on a product space",
  "authors": [
    "Yitwah Cheung"
  ],
  "comment": "25 pages, to appear in Ergodic Theory and Dynamical Systems",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper we compute the Hausdorff dimension of the set D_n of points on divergent trajectories of the homogeneous flow induced by a certain one-parameter subgroup of G=SL(2,R) acting by left multiplication on the product space G^n/Gamma^n, where Gamma=SL(2,Z). We prove that the Hausdorff dimension of D_n equals 3n-(1/2) for any n greater than one.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-07-31T23:12:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A17",
      "11K40",
      "22E40",
      "11J70",
      "82C40"
    ],
    "keywords": [
      "hausdorff dimension",
      "divergent trajectories",
      "product space",
      "homogeneous flow",
      "one-parameter subgroup"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......8002C"
    }
  }
}