{
  "id": "2102.05841",
  "version": "v1",
  "published": "2021-02-11T04:22:32.000Z",
  "updated": "2021-02-11T04:22:32.000Z",
  "title": "J-Stability in non-archimedean dynamics",
  "authors": [
    "Robert L. Benedetto",
    "Junghun Lee"
  ],
  "comment": "24 pages",
  "categories": [
    "math.DS",
    "math.NT"
  ],
  "abstract": "Let $C_v$ be a complete, algebraically closed non-archimedean field, and let $f \\in C_v(z)$ be a rational function of degree $d \\geq 2$. If $f$ satisfies a bounded contraction condition on its Julia set, we prove that small perturbations of $f$ have dynamics conjugate to those of $f$ on their Julia sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-11T04:22:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37P40",
      "37P45",
      "37P50",
      "11S82",
      "37P05"
    ],
    "keywords": [
      "non-archimedean dynamics",
      "julia set",
      "j-stability",
      "rational function",
      "bounded contraction condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}