{
  "id": "0907.2430",
  "version": "v1",
  "published": "2009-07-14T19:36:52.000Z",
  "updated": "2009-07-14T19:36:52.000Z",
  "title": "Extremal properties of (epi)Sturmian sequences and distribution modulo 1",
  "authors": [
    "Jean-Paul Allouche",
    "Amy Glen"
  ],
  "journal": "L'Enseignement Math\\'ematique, 56 (2010) 365-401",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "Starting from a study of Y. Bugeaud and A. Dubickas (2005) on a question in distribution of real numbers modulo 1 via combinatorics on words, we survey some combinatorial properties of (epi)Sturmian sequences and distribution modulo 1 in connection to their work. In particular we focus on extremal properties of (epi)Sturmian sequences, some of which have been rediscovered several times.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-07-14T19:36:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J71",
      "68R15",
      "11B85",
      "37B10"
    ],
    "keywords": [
      "sturmian sequences",
      "distribution modulo",
      "extremal properties",
      "real numbers modulo",
      "combinatorial properties"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.2430A"
    }
  }
}