{
  "id": "math/0403197",
  "version": "v1",
  "published": "2004-03-11T18:11:57.000Z",
  "updated": "2004-03-11T18:11:57.000Z",
  "title": "Poisson boundary for finitely generated groups of rational affinities",
  "authors": [
    "Sara Brofferio"
  ],
  "comment": "12 pages, 3 figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "The group of affine transformations with rational coefficients, $aff(Q)$, acts naturally on the real line, but also on the $p$-adic fields. The aim of this note is to show that all these actions are necessary and sufficient to represent bounded $\\mu$-harmonic functions for a probability measure $\\mu$ on $aff(Q)$ that is supported by a finitely generated sub-group, that is to describe the Poisson boundary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-03-11T18:11:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60B99",
      "60J50",
      "43A05",
      "22E35"
    ],
    "keywords": [
      "poisson boundary",
      "finitely generated groups",
      "rational affinities",
      "probability measure",
      "affine transformations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......3197B"
    }
  }
}