{
  "id": "1507.00714",
  "version": "v1",
  "published": "2015-07-02T19:49:01.000Z",
  "updated": "2015-07-02T19:49:01.000Z",
  "title": "Hereditary subshifts whose simplex of invariant measures is Poulsen",
  "authors": [
    "Joanna Kułaga-Przymus",
    "Mariusz Lemańczyk",
    "Benjamin Weiss"
  ],
  "comment": "10 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We give a sufficient condition for the simplex of invariant measures for a hereditary system to be Poulsen. In particular, we show that this simplex is Poulsen in case of positive entropy $\\mathscr{B}$-free systems. We also give an example of a positive entropy hereditary system whose simplex of invariant measures is not Poulsen.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-02T19:49:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B10",
      "37A35"
    ],
    "keywords": [
      "invariant measures",
      "hereditary subshifts",
      "positive entropy hereditary system",
      "sufficient condition",
      "free systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}