{
  "id": "0807.4430",
  "version": "v1",
  "published": "2008-07-28T12:31:18.000Z",
  "updated": "2008-07-28T12:31:18.000Z",
  "title": "Linearly recurrent subshifts have a finite number of non-periodic subshift factors",
  "authors": [
    "Fabien Durand"
  ],
  "journal": "Ergodic Theory and Dynamical Systems 20 (2000) 1061-1078",
  "categories": [
    "math.DS"
  ],
  "abstract": "A minimal subshift $(X,T)$ is linearly recurrent if there exists a constant $K$ so that for each clopen set $U$ generated by a finite word $u$ the return time to $U$, with respect to $T$, is bounded by $K|u|$. We prove that given a linearly recurrent subshift $(X,T)$ the set of its non-periodic subshift factors is finite up to isomorphism. We also give a constructive characterization of these subshifts.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-07-28T12:31:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B10"
    ],
    "keywords": [
      "non-periodic subshift factors",
      "linearly recurrent subshift",
      "finite number",
      "finite word",
      "return time"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.4430D"
    }
  }
}