{
  "id": "1409.8452",
  "version": "v1",
  "published": "2014-09-30T09:41:02.000Z",
  "updated": "2014-09-30T09:41:02.000Z",
  "title": "Localization of mixing property via Furstenberg families",
  "authors": [
    "Jian Li"
  ],
  "comment": "16 pages",
  "journal": "Discrete and Continuous Dynamical System 35 (2015), no. 2, 725-740",
  "doi": "10.3934/dcds.2015.35.725",
  "categories": [
    "math.DS"
  ],
  "abstract": "This paper is devoted to studying the localization of mixing property via Furstenberg families. It is shown that there exists some $\\mathscr{F}_{pubd}$-mixing set in every dynamical system with positive entropy, and some $\\mathscr{F}_{ps}$-mixing set in every non-PI minimal system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-30T09:41:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54H20",
      "37B05",
      "37B40"
    ],
    "keywords": [
      "furstenberg families",
      "mixing property",
      "localization",
      "non-pi minimal system"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.8452L"
    }
  }
}