{
  "abstract": "We show that every atoroidal endperiodic map of an infinite-type surface can be obtained from a depth one foliation in a fibered hyperbolic 3-manifold, reversing a well-known construction of Thurston. This can be done almost-transversely to the canonical suspension flow, and as a consequence we recover the Handel-Miller laminations of such a map directly from the fibered structure. We also generalize from the finite-genus case the relation between topological entropy, growth rates of periodic points, and growth rates of intersection numbers of curves. Fixing the manifold and varying the depth one foliations, we obtain a description of the Cantwell-Conlon foliation cones and a proof that the entropy function on these cones is continuous and convex.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematics, Washington University in Saint Louis, St. Louis, MO, United States, Department of Mathematics and Statistics, Saint Louis University, St. Louis, MO, United States",
    "Department of Mathematics, Yale University, New Haven, CT, United States",
    "Department of Mathematics, Temple University, Philadelphia, PA, United States"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Michael P. Landry",
      "orcid": "0000-0003-1373-1614"
    },
    {
      "affs": [
        1
      ],
      "name": "Yair N. Minsky",
      "orcid": "0000-0002-3753-3615"
    },
    {
      "affs": [
        2
      ],
      "name": "Samuel J. Taylor",
      "orcid": "0000-0002-6937-4444"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cgt6fjj8gmxjy.bib",
  "cited_by": 16,
  "doi": "10.2140/gt.2026.30.1987",
  "fulltext_url": null,
  "id": "cgt6fjj8gmxjy",
  "issns": [
    "1364-0380",
    "1465-3060"
  ],
  "landing_url": "https://doi.org/10.2140/gt.2026.30.1987",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2610|Mathematical Dynamics and Fractals"
    ]
  ],
  "openalex": "W4366850751",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-07-18",
  "publisher": "Mathematical Sciences Publishers",
  "ris": "https://research.draconitic.com/paper/cgt6fjj8gmxjy.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T13:21:00Z",
      "native_id": "W4366850751",
      "source": "openalex",
      "url": "https://doi.org/10.2140/gt.2026.30.1987"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2610|Mathematical Dynamics and Fractals",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Endperiodic maps via pseudo-Anosov flows",
  "title_text": "Endperiodic maps via pseudo-Anosov flows",
  "type": "peer-reviewed",
  "updated_at": "2026-11-09T13:20:59Z",
  "url": "https://research.draconitic.com/paper/cgt6fjj8gmxjy",
  "venue": "Geometry & Topology",
  "versions": []
}