{
  "id": "2410.04180",
  "version": "v2",
  "published": "2024-10-05T14:51:21.000Z",
  "updated": "2025-02-13T13:39:36.000Z",
  "title": "Bifurcation for families of Ahlfors island maps",
  "authors": [
    "Matthieu Astorg",
    "Anna Miriam Benini",
    "Nuria Fagella"
  ],
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "We extend Ma\\~n\\'e-Sad-Sullivan and Lyubich's equivalent characterization of stability to the setting of Ahlfors island maps, which include notably all meromorphic maps. As a consequence we also obtain the density of $J$-stability for finite type maps in the sense of Epstein.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2025-02-13T13:39:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F46",
      "30D05",
      "37F10",
      "30D30",
      "37F44"
    ],
    "keywords": [
      "ahlfors island maps",
      "bifurcation",
      "finite type maps",
      "lyubichs equivalent characterization",
      "meromorphic maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}