{
  "id": "2505.09383",
  "version": "v1",
  "published": "2025-05-14T13:35:56.000Z",
  "updated": "2025-05-14T13:35:56.000Z",
  "title": "Irrational Fatou components in non-Archimedean dynamics",
  "authors": [
    "Juan Rivera-Letelier"
  ],
  "comment": "Comments welcomed",
  "categories": [
    "math.DS",
    "math.NT"
  ],
  "abstract": "We study the geometry of Fatou components in non-Archimedean dynamics. By explicitly computing a wandering domain constructed by Benedetto, we provide the first example of a Fatou component that is an irrational disk.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-05-14T13:35:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "irrational fatou components",
      "non-archimedean dynamics",
      "first example",
      "irrational disk"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}