{
  "id": "1508.01589",
  "version": "v1",
  "published": "2015-08-07T02:33:56.000Z",
  "updated": "2015-08-07T02:33:56.000Z",
  "title": "A characterization of polynomials among rational functions in non-archimedean and complex dynamics",
  "authors": [
    "Yûsuke Okuyama",
    "Małgorzata Stawiska"
  ],
  "comment": "19 pages",
  "categories": [
    "math.NT",
    "math.DS"
  ],
  "abstract": "From the viewpoint of dynamics and potential theory on the Berkovich projective line, we give a characterization of polynomials among rational functions, up to rational functions having potentially good reductions as exceptions, on the projective line over an algebraically closed field of any characteristic that is complete with respect to a non-trivial and possibly non-archimedean absolute value.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-07T02:33:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rational functions",
      "complex dynamics",
      "characterization",
      "polynomials",
      "possibly non-archimedean absolute value"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150801589O"
    }
  }
}