{
  "id": "1510.06439",
  "version": "v1",
  "published": "2015-10-21T21:30:27.000Z",
  "updated": "2015-10-21T21:30:27.000Z",
  "title": "Strongly aperiodic subshifts on surface groups",
  "authors": [
    "David Bruce Cohen",
    "Chaim Goodman-Strauss"
  ],
  "comment": "13 pages, 4 figures",
  "categories": [
    "math.GR",
    "math.DS"
  ],
  "abstract": "We give strongly aperiodic subshifts of finite type on every hyperbolic surface group; more generally, for each pair of expansive primitive symbolic substitution systems with incommensurate growth rates, we construct strongly aperiodic subshifts of finite type on their orbit graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-21T21:30:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B50"
    ],
    "keywords": [
      "finite type",
      "incommensurate growth rates",
      "hyperbolic surface group",
      "construct strongly aperiodic subshifts",
      "expansive primitive symbolic substitution systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151006439C"
    }
  }
}