{
  "abstract": "A folding rational map is a postcritically finite rational map $f$ admitting an essential Jordan curve $β$, disjoint from the postcritical set $P_f$, whose preimage is disconnected and consists of Jordan curves homotopic to $β$ relative to $P_f$. Such $β$ is called a characteristic curve of $f$. We construct a real postcritically finite rational map $f$ of degree $6$ with $\\#P_f=4$, which admits two non-homotopic characteristic curves $β$ and $β'$. It is hyperbolic with orbifold signature $(2,2,3,\\infty)$. This non-uniqueness is not a Lattès phenomenon, nor does it arise from a mating decomposition. The map is constructed piecewise, and a numerical model is provided to illustrate its dynamics. Thurston obstructions are excluded by arc-lifting and intersection-number arguments.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.16576",
  "author_total": 2,
  "authors": [
    {
      "name": "Luxian Yang"
    },
    {
      "name": "Jinsong Zeng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1pmbnyaswxqqd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.16576",
  "fulltext_url": null,
  "id": "1pmbnyaswxqqd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.16576",
  "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"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.16576",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1pmbnyaswxqqd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:45Z",
      "native_id": "2609.16576",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.16576"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Non-uniqueness of characteristic curves of folding rational maps",
  "title_text": "Non-uniqueness of characteristic curves of folding rational maps",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:45Z",
  "url": "https://research.draconitic.com/paper/1pmbnyaswxqqd",
  "venue": "arXiv",
  "versions": []
}