{
  "abstract": "For a polynomial $f$ of degree $d\\geq 2$, its biaccessible set $B(f)$ consists of angles whose external rays are smooth and land at a point receiving at least two smooth external rays. We prove that the function $f\\mapsto {\\rm dim}_H(B(f))$ is continuous on the entire space of degree-$d$ polynomials. Therefore $(\\log d){\\rm dim}_H (B(f))$ gives a continuous extension of classical core entropy from the postcritically finite case to all polynomials of degree $d$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.22870",
  "author_total": 1,
  "authors": [
    {
      "name": "Yan Gao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cvb65vxy0e47r.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.22870",
  "fulltext_url": null,
  "id": "cvb65vxy0e47r",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.22870",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DS"
    ],
    [
      "openalex",
      "2610|Mathematical Dynamics and Fractals"
    ]
  ],
  "openalex": "W7222951178",
  "pdf_url": "https://arxiv.org/pdf/2610.22870",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cvb65vxy0e47r.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:37Z",
      "native_id": "2610.22870",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.22870"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Continuity of biaccessibility dimension for polynomials",
  "title_text": "Continuity of biaccessibility dimension for polynomials",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/cvb65vxy0e47r",
  "venue": "arXiv",
  "versions": []
}