{
  "id": "math/0611235",
  "version": "v2",
  "published": "2006-11-08T16:53:24.000Z",
  "updated": "2007-10-11T19:29:04.000Z",
  "title": "A characterization of harmonic measures on laminations by hyperbolic Riemann surfaces",
  "authors": [
    "Yuri Bakhtin",
    "Matilde Martinez"
  ],
  "categories": [
    "math.DS",
    "math.PR"
  ],
  "abstract": "We prove that a probability measure on a compact non-singular lamination by hyperbolic Riemann surfaces is harmonic if and only if it is the projection of a measure on the unit tangent bundle such that it is invariant under both the geodesic and the horocycle flows.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-10-11T19:29:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D40",
      "58J65"
    ],
    "keywords": [
      "hyperbolic riemann surfaces",
      "harmonic measures",
      "characterization",
      "compact non-singular lamination",
      "unit tangent bundle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11235B"
    }
  }
}