{
  "id": "0906.5548",
  "version": "v2",
  "published": "2009-06-30T14:45:34.000Z",
  "updated": "2009-11-17T13:37:39.000Z",
  "title": "Poisson boundary of $GL_d(\\Q)$",
  "authors": [
    "Sara Brofferio",
    "Bruno Schapira"
  ],
  "comment": "minor corrections, more details in the introduction",
  "categories": [
    "math.PR"
  ],
  "abstract": "We construct the Poisson boundary for a random walk supported by the general linear group on the rational numbers as the product of flag manifolds over the $p$-adic fields. To this purpose, we prove a law of large numbers using the Oseledets' multiplicative ergodic theorem.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-11-17T13:37:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22D40",
      "28D05",
      "28D20",
      "43A05",
      "60B15",
      "60J50"
    ],
    "keywords": [
      "poisson boundary",
      "general linear group",
      "rational numbers",
      "flag manifolds",
      "adic fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.5548B"
    }
  }
}