{
  "id": "1012.4901",
  "version": "v4",
  "published": "2010-12-22T07:35:17.000Z",
  "updated": "2011-03-23T20:49:46.000Z",
  "title": "Hypercyclic Abelian Affine Groups",
  "authors": [
    "Adlene Ayadi"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, we give a characterization of hypercyclic abelian affine group G. If G is finitely generated, this characterization is explicit. We prove in particular that no abelian group generated by n affine maps on C^n has a dense orbit.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2011-03-23T20:49:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hypercyclic abelian affine group",
      "characterization",
      "affine maps",
      "dense orbit"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.4901A"
    }
  }
}