{
  "id": "1211.6836",
  "version": "v3",
  "published": "2012-11-29T08:06:07.000Z",
  "updated": "2014-01-24T09:15:05.000Z",
  "title": "Stable sets and mean Li-Yorke chaos in positive entropy systems",
  "authors": [
    "Wen Huang",
    "Jian Li",
    "Xiangdong Ye"
  ],
  "comment": "The final version, reference updated, to appear in Journal of Functional Analysis",
  "journal": "Journal of Functional Analysis 266 (2014) 3377-3394",
  "doi": "10.1016/j.jfa.2014.01.005",
  "categories": [
    "math.DS"
  ],
  "abstract": "It is shown that in a topological dynamical system with positive entropy, there is a measure-theoretically \"rather big\" set such that a multivariant version of mean Li-Yorke chaos happens on the closure of the stable or unstable set of any point from the set. It is also proved that the intersections of the sets of asymptotic tuples and mean Li-Yorke tuples with the set of topological entropy tuples are dense in the set of topological entropy tuples respectively.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-01-24T09:15:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B05",
      "54H20"
    ],
    "keywords": [
      "positive entropy systems",
      "stable sets",
      "topological entropy tuples",
      "mean li-yorke chaos happens",
      "mean li-yorke tuples"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.6836H"
    }
  }
}