{
  "id": "2205.13704",
  "version": "v1",
  "published": "2022-05-27T01:40:35.000Z",
  "updated": "2022-05-27T01:40:35.000Z",
  "title": "Polynomials with core entropy zero",
  "authors": [
    "Yusheng Luo",
    "Insung Park"
  ],
  "comment": "54 pages, 20 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "This paper studies polynomials with core entropy zero. We give several characterizations of polynomials with core entropy zero. In particular, we show that a degree d post-critically finite polynomial f has core entropy zero if and only if f is in the degree d main molecule. The characterizations define several quantities which measure the complexities of polynomials with core entropy zero. We show that these measures are all comparable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-27T01:40:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F05",
      "37B40",
      "37A35",
      "37F10",
      "37F34"
    ],
    "keywords": [
      "core entropy zero",
      "paper studies polynomials",
      "post-critically finite polynomial",
      "main molecule",
      "characterizations define"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 54,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}