{
  "id": "1112.2945",
  "version": "v1",
  "published": "2011-12-13T16:33:32.000Z",
  "updated": "2011-12-13T16:33:32.000Z",
  "title": "Symbolic approach and induction in the Heisenberg group",
  "authors": [
    "Jean-François Bertazzon"
  ],
  "comment": "18 pages",
  "journal": "Discrete and Continuous Dynamical Systems - Series A (DCDS-A) Pages: 1209 - 1229, Volume 32, Issue 4, April 2012",
  "doi": "10.3934/dcds.2012.32.1209",
  "categories": [
    "math.DS"
  ],
  "abstract": "We associate a homomorphism in the Heisenberg group to each hyperbolic unimodular automorphism of the free group on two generators. We show that the first return-time of some flows in \"good\" sections, are conjugate to niltranslations, which have the property of being self-induced.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-13T16:33:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28D10",
      "37C55"
    ],
    "keywords": [
      "heisenberg group",
      "symbolic approach",
      "hyperbolic unimodular automorphism",
      "free group",
      "first return-time"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.2945B"
    }
  }
}