{
  "abstract": "Rempe and Rippon gave a general result which enables the construction of a transcendental entire function with a Baker domain, in which the iterates tend to infinity at a prescribed arbitrarily slow rate. Here we construct a transcendental entire function with a Baker domain, in which the iterates are controlled from both above and below in a prescribed arbitrarily slow but regular manner. The proof uses distortion theorems for conformal mappings due to Ahlfors and Warschawski, and an approximation theorem due to Rempe and Rippon.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.37341",
  "author_total": 1,
  "authors": [
    {
      "name": "Benjamin Handsaker-Whetton"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1s9mtd5bmwh3a.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.37341",
  "fulltext_url": null,
  "id": "1s9mtd5bmwh3a",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.37341",
  "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": "W7214987918",
  "pdf_url": "https://arxiv.org/pdf/2609.37341",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1s9mtd5bmwh3a.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:35Z",
      "native_id": "2609.37341",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.37341"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Baker domains with arbitrarily slow controlled rate of escape",
  "title_text": "Baker domains with arbitrarily slow controlled rate of escape",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:35Z",
  "url": "https://research.draconitic.com/paper/1s9mtd5bmwh3a",
  "venue": "arXiv",
  "versions": []
}