{
  "id": "1408.2931",
  "version": "v1",
  "published": "2014-08-13T07:47:39.000Z",
  "updated": "2014-08-13T07:47:39.000Z",
  "title": "Rotation sets and almost periodic sequences",
  "authors": [
    "Tobias Jäger",
    "Alejandro Passeggi",
    "Sonja Štimac"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We study the rotational behaviour on minimal sets of torus homeomorphisms and show that the associated rotation sets can be any type of line segments as well as non-convex and even plane-separating continua. This shows that restrictions holding for rotation sets on the whole torus are not valid on minimal sets. The proof uses a construction of rotational horseshoes by Kwapisz to transfer the problem to a symbolic level, where the desired rotational behaviour is implemented by means of suitable irregular Toeplitz sequences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-13T07:47:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E30",
      "37E45",
      "54H20"
    ],
    "keywords": [
      "periodic sequences",
      "minimal sets",
      "suitable irregular toeplitz sequences",
      "torus homeomorphisms",
      "associated rotation sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.2931J"
    }
  }
}