{
  "id": "math/0201152",
  "version": "v2",
  "published": "2002-01-16T22:53:15.000Z",
  "updated": "2018-07-09T19:26:57.000Z",
  "title": "When size matters: subshifts and their related tiling spaces",
  "authors": [
    "Alex Clark",
    "Lorenzo Sadun"
  ],
  "comment": "Updated 2018 to version published in 2003. 14 pages, no figures, LaTeX",
  "journal": "Ergodic Theory and Dynamical Systems 23 (2003) 1043-1057",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MG",
    "math.MP"
  ],
  "abstract": "We investigate the dynamics of substitution subshifts and their associated tiling spaces. For a given subshift, the associated tiling spaces are all homeomorphic, but their dynamical properties may differ. We give criteria for such a tiling space to be weakly mixing, and for the dynamics of two such spaces to be topologically conjugate.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-01-16T22:53:15.000Z",
      "comment": "14 pages, no figures, LaTeX",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2018-07-09T19:26:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C23",
      "37A25",
      "37A30",
      "37A10",
      "37B10"
    ],
    "keywords": [
      "related tiling spaces",
      "size matters",
      "associated tiling spaces",
      "substitution subshifts",
      "homeomorphic"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......1152C"
    }
  }
}