{
  "id": "0907.3560",
  "version": "v2",
  "published": "2009-07-21T07:23:31.000Z",
  "updated": "2011-01-31T09:29:39.000Z",
  "title": "Distribution modulo 1 and the lexicographic world",
  "authors": [
    "Jean-Paul Allouche",
    "Amy Glen"
  ],
  "journal": "Annales des Sciences Math\\'ematiques du Qu\\'ebec, 33 (2009), 125-143",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "We give a complete description of the minimal intervals containing all fractional parts $\\{\\xi 2^n\\}$, for some positive real number $\\xi$, and for all $n \\geq 0$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-01-31T09:29:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J71",
      "37B10",
      "68R15"
    ],
    "keywords": [
      "lexicographic world",
      "distribution modulo",
      "complete description",
      "positive real number",
      "fractional parts"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.3560A"
    }
  }
}