{
  "id": "0708.0899",
  "version": "v1",
  "published": "2007-08-07T08:33:53.000Z",
  "updated": "2007-08-07T08:33:53.000Z",
  "title": "Self-similar carpets over finite fields",
  "authors": [
    "Mihai Prunescu"
  ],
  "comment": "14 pages, some latex figures in text (no separate files) These results have been presented at CiE 2007, Siena, Italy",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "Some linear dynamical systems over finite fields are studied and the self-similar character of their development is proved. Connections with aperiodic tilings, Delanoy numbers and other topics are also proved. The prime fields F_p have a canonical presentation as sets of self-similar carpets. The multiplicative inverse corresponds to mirroring.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-08-07T08:33:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A07",
      "28A80"
    ],
    "keywords": [
      "finite fields",
      "self-similar carpets",
      "linear dynamical systems",
      "multiplicative inverse corresponds",
      "prime fields"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.0899P"
    }
  }
}