{
  "id": "1610.01793",
  "version": "v1",
  "published": "2016-10-06T09:43:25.000Z",
  "updated": "2016-10-06T09:43:25.000Z",
  "title": "A non-PI minimal system is Li-Yorke sensitive",
  "authors": [
    "Song Shao",
    "Xiangdong Ye"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "It is shown that any non-PI minimal system is Li-Yorke sensitive. Consequently, any minimal system with nontrivial weakly mixing factor (such a system is non-PI) is Li-Yorke sensitive, which answers affirmatively an open question by Akin and Kolyada.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-06T09:43:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B05",
      "54H20"
    ],
    "keywords": [
      "non-pi minimal system",
      "li-yorke sensitive",
      "open question",
      "nontrivial weakly mixing factor"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}