{
  "id": "0710.4031",
  "version": "v1",
  "published": "2007-10-22T12:05:02.000Z",
  "updated": "2007-10-22T12:05:02.000Z",
  "title": "On the critical exponent of generalized Thue-Morse words",
  "authors": [
    "Alexandre Blondin-Massé",
    "Srecko Brlek",
    "Amy Glen",
    "Sébastien Labbé"
  ],
  "comment": "13 pages; to appear in Discrete Mathematics and Theoretical Computer Science (accepted October 15, 2007)",
  "journal": "Discrete Mathematics and Theoretical Computer Science 9 (2007) 293-304",
  "categories": [
    "math.CO",
    "cs.DM"
  ],
  "abstract": "For certain generalized Thue-Morse words t, we compute the \"critical exponent\", i.e., the supremum of the set of rational numbers that are exponents of powers in t, and determine exactly the occurrences of powers realizing it.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-22T12:05:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "68R15",
      "11B85"
    ],
    "keywords": [
      "generalized thue-morse words",
      "critical exponent",
      "rational numbers",
      "occurrences"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.4031B"
    }
  }
}