{
  "abstract": "In this article, we provide an explicit description of $\\operatorname{Aut}_1(I_H^+)$, the group of automorphisms of the escaping set $I_H^+$ of a Hénon map that induce the identity on its fundamental group. More precisely, for a Hénon map $H(x,y)=(y,p(y)-δx),$ where $p$ is a polynomial of degree $d\\geq 2$ and $δ\\neq 0$, we show that $\\operatorname{Aut}_1(I_H^+)$ is completely determined by the degree and the coefficients of $p$. Thus, the automorphism group of the escaping set, subject to the prescribed topological constraint, can be explicitly characterized in terms of the underlying Hénon map.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.25891",
  "author_total": 2,
  "authors": [
    {
      "name": "Mahima"
    },
    {
      "name": "Ratna Pal"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/eew09jgbhfyxx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.25891",
  "fulltext_url": null,
  "id": "eew09jgbhfyxx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.25891",
  "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.CV"
    ],
    [
      "arxiv",
      "math.DS"
    ],
    [
      "openalex",
      "2610|Mathematical Dynamics and Fractals"
    ]
  ],
  "openalex": "W7223023493",
  "pdf_url": "https://arxiv.org/pdf/2610.25891",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/eew09jgbhfyxx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.25891",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.25891"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "On the group of automorphisms of the escaping sets of Hénon maps",
  "title_text": "On the group of automorphisms of the escaping sets of Hénon maps",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/eew09jgbhfyxx",
  "venue": "arXiv",
  "versions": []
}