{
  "id": "1504.02572",
  "version": "v1",
  "published": "2015-04-10T07:43:18.000Z",
  "updated": "2015-04-10T07:43:18.000Z",
  "title": "Stable sets and mean Li-Yorke chaos in positive entropy actions of bi-orderable amenable groups",
  "authors": [
    "Wen Huang",
    "Lei Jin"
  ],
  "comment": "16 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "It is proved that positive entropy implies mean Li-Yorke chaos for a G-system, where G is a countable infinite discrete bi-orderable amenable group. Examples are given for the cases of integer lattice groups and groups of integer unipotent upper triangular matrices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-10T07:43:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B05",
      "37A35"
    ],
    "keywords": [
      "positive entropy actions",
      "implies mean li-yorke chaos",
      "unipotent upper triangular matrices",
      "entropy implies mean li-yorke",
      "stable sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150402572H"
    }
  }
}