{
  "id": "0911.0616",
  "version": "v3",
  "published": "2009-11-03T17:00:52.000Z",
  "updated": "2011-01-07T13:12:10.000Z",
  "title": "Poisson boundary of groups acting on real trees",
  "authors": [
    "François Gautero",
    "Frédéric Mathéus"
  ],
  "comment": "42 pages. This is a majorly revised version. The introduction is completely rewritten, the statements are simplified. A new section entitled \"The method\" is added just after the introduction. More details are given on the case of a direct product of two finitely generated free groups",
  "categories": [
    "math.PR",
    "math.GT"
  ],
  "abstract": "We give a geometric description of the Poisson boundaries of certain extensions of free and hyperbolic groups. In particular, we get a full description of the Poisson boundaries of free-by-cyclic groups. We rely upon the description of Poisson boundaries by means of a topological compactification as developed by Kaimanovich. All the groups studied here share the property of admitting a sufficiently complicated action on some real tree.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-01-07T13:12:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "60J50",
      "20F67",
      "60B15",
      "20P05"
    ],
    "keywords": [
      "poisson boundary",
      "real tree",
      "groups acting",
      "free-by-cyclic groups",
      "geometric description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.0616G"
    }
  }
}