{
  "id": "1906.06394",
  "version": "v1",
  "published": "2019-06-14T20:34:14.000Z",
  "updated": "2019-06-14T20:34:14.000Z",
  "title": "Shadowing Property for the free group acting in the circle",
  "authors": [
    "Jorge Iglesias Aldo Portela"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "For the free group $F_2$ acting in $S^{1}$, we will prove that if the minimal set for the action is not a Cantor set, then the action does not have the shadowing property. We will also construct an example, whose minimal set is a Cantor set, that it has the shadowing property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-14T20:34:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "shadowing property",
      "free group acting",
      "cantor set",
      "minimal set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}