{
  "id": "1912.01573",
  "version": "v1",
  "published": "2019-12-03T18:15:45.000Z",
  "updated": "2019-12-03T18:15:45.000Z",
  "title": "Zeckendorf representations and mixing properties of sequences",
  "authors": [
    "Neil Manibo",
    "Eden Miro",
    "Dan Rust",
    "Gwendolyn S. Tadeo"
  ],
  "categories": [
    "math.DS",
    "math.NT"
  ],
  "abstract": "We use generalised Zeckendorf representations of natural numbers to investigate mixing properties of symbolic dynamical systems. The systems we consider consist of bi-infinite sequences associated with so-called random substitutions. We focus on random substitutions associated with the Fibonacci, tribonacci and metallic mean numbers and take advantage of their respective numeration schemes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-03T18:15:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B39",
      "37A25",
      "37B10"
    ],
    "keywords": [
      "mixing properties",
      "random substitutions",
      "metallic mean numbers",
      "respective numeration schemes",
      "natural numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}