{
  "id": "1701.01902",
  "version": "v1",
  "published": "2017-01-08T01:42:25.000Z",
  "updated": "2017-01-08T01:42:25.000Z",
  "title": "A classification of postcritically minimal Newton maps of entire functions",
  "authors": [
    "Khudoyor Mamayusupov"
  ],
  "comment": "29 pages, 6 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We obtain a unique, canonical one-to-one correspondence between postcritically minimal rational Newton maps arising from entire maps of the complex plane and postcritically finite Newton maps of polynomials, which preserves the dynamics of Julia sets. This bijection is induced by parabolic surgery developed by P. Ha\\\"issinsky.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-08T01:42:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30D05",
      "37F10"
    ],
    "keywords": [
      "postcritically minimal newton maps",
      "entire functions",
      "classification",
      "postcritically minimal rational newton maps",
      "minimal rational newton maps arising"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}