{
  "id": "1309.1760",
  "version": "v1",
  "published": "2013-09-06T18:35:26.000Z",
  "updated": "2013-09-06T18:35:26.000Z",
  "title": "Hypercyclicity and k-Transitivity (k>=2) for abelian semigroup of affine maps on C^n",
  "authors": [
    "Yahya N'Dao"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1309.1725",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, we prove that the minimal number of affine maps on C^n, required to form a hypercyclic abelian semigroup on C^n is n+1. We also prove that the action of any abelian group finitely generated by affine maps on C^n, is never k-transitive for k>=2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-09-06T18:35:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "affine maps",
      "hypercyclicity",
      "k-transitivity",
      "hypercyclic abelian semigroup",
      "minimal number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.1760N"
    }
  }
}