{
  "id": "1309.1725",
  "version": "v1",
  "published": "2013-09-06T18:34:54.000Z",
  "updated": "2013-09-06T18:34:54.000Z",
  "title": "Hypercyclic abelian semigroups of affine maps on C^n",
  "authors": [
    "Yahya N'Dao"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We give a characterization of hypercyclic abelian semigroup G of affine maps on C^n. 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": "v1",
      "updated": "2013-09-06T18:34:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hypercyclic abelian semigroup",
      "affine maps",
      "characterization",
      "dense orbit"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.1725N"
    }
  }
}