{
  "id": "2009.02422",
  "version": "v1",
  "published": "2020-09-04T23:40:02.000Z",
  "updated": "2020-09-04T23:40:02.000Z",
  "title": "Unicritical polynomial maps with rational multipliers",
  "authors": [
    "Valentin Huguin"
  ],
  "comment": "23 pages, 2 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this article, we prove that every unicritical polynomial map that has only rational multipliers is either a power map or a Chebyshev map. This provides some evidence in support of a conjecture by Milnor concerning rational maps whose multipliers are all integers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-04T23:40:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37P05",
      "37P35",
      "37F10",
      "37F45"
    ],
    "keywords": [
      "unicritical polynomial map",
      "rational multipliers",
      "milnor concerning rational maps",
      "chebyshev map",
      "power map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}