{
  "id": "0909.4130",
  "version": "v1",
  "published": "2009-09-23T06:16:33.000Z",
  "updated": "2009-09-23T06:16:33.000Z",
  "title": "Digraph Representations Of Rational Functions Over $p$-adic Numbers",
  "authors": [
    "Hansheng Diao",
    "Cesar E. Silva"
  ],
  "comment": "22 pages",
  "journal": "P-Adic Numbers Ultrametric Anal. Appl. 3 (2011), no. 1, 23-38",
  "categories": [
    "math.DS",
    "math.NT"
  ],
  "abstract": "In this paper, we construct a digraph structure on $p$-adic dynamical systems defined by rational functions. We study the conditions under which the functions are measure-preserving, invertible and isometric, ergodic, and minimal on invariant subsets, by means of graph theoretic properties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-23T06:16:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A05",
      "37F10"
    ],
    "keywords": [
      "rational functions",
      "adic numbers",
      "digraph representations",
      "graph theoretic properties",
      "digraph structure"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.4130D"
    }
  }
}