{
  "id": "2106.00801",
  "version": "v1",
  "published": "2021-06-01T21:12:27.000Z",
  "updated": "2021-06-01T21:12:27.000Z",
  "title": "Insertion in constructed normal numbers",
  "authors": [
    "Verónica Becher"
  ],
  "categories": [
    "math.NT",
    "cs.DM",
    "math.CO"
  ],
  "abstract": "Defined by Borel, a real number is normal to an integer base $b$, greater than or equal to $2$, if in its base-$b$ expansion every block of digits occurs with the same limiting frequency as every other block of the same length. We consider the problem of insertion in constructed base-$b$ normal expansions to obtain normality to base $(b+1)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-01T21:12:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11K16",
      "05C45",
      "68R15"
    ],
    "keywords": [
      "constructed normal numbers",
      "real number",
      "normal expansions",
      "digits occurs",
      "integer base"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}