{
  "abstract": "We prove that every wandering exposed Julia component of a rational map is a point. Here a Julia component is exposed if it meets the boundary of a Fatou domain. The theorem extends the corresponding result for polynomials to rational maps, without any assumption on critical recurrence. The proof combines an enhanced nest with a covering estimate for multiply connected pullback domains.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31055",
  "author_total": 1,
  "authors": [
    {
      "name": "Jinsong Zeng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/16tqzvvq323zg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31055",
  "fulltext_url": null,
  "id": "16tqzvvq323zg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31055",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DS"
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      "openalex",
      "2610|Mathematical Dynamics and Fractals"
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  "openalex": "W7223382278",
  "pdf_url": "https://arxiv.org/pdf/2610.31055",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/16tqzvvq323zg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:38Z",
      "native_id": "2610.31055",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31055"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Wandering exposed Julia components of rational maps",
  "title_text": "Wandering exposed Julia components of rational maps",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:38Z",
  "url": "https://research.draconitic.com/paper/16tqzvvq323zg",
  "venue": "arXiv",
  "versions": []
}