{
  "abstract": "We prove that a transitive monotone factor of a smooth surface diffeomorphism has a unique measure of maximal entropy whenever its topological entropy is positive. Its entropy is the entropy of a single homoclinic class of the diffeomorphism, and the factor map is a measure-theoretic isomorphism on every ergodic measure with positive entropy of that class. The other homoclinic classes are mapped to periodic orbits. We give an application to the essential factor of a diffeomorphism isotopic to a pseudo-Anosov map ---possibly relative to a finite invariant set--- constructed by García-Sassi \\& Tal: the essential factor has a unique measure of maximal entropy, which is Bernoulli and has full support.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.07236",
  "author_total": 4,
  "authors": [
    {
      "name": "Sylvain Crovisier"
    },
    {
      "name": "Alejo García-Sassi"
    },
    {
      "name": "Yuri Lima"
    },
    {
      "name": "Fábio Tal"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/49rce3gd0tdm1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.07236",
  "fulltext_url": null,
  "id": "49rce3gd0tdm1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.07236",
  "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"
    ],
    [
      "arxiv",
      "math.GT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.07236",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/49rce3gd0tdm1.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:34Z",
      "native_id": "2611.07236",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.07236"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Measures of maximal entropy for monotone factors of smooth surface diffeomorphisms",
  "title_text": "Measures of maximal entropy for monotone factors of smooth surface diffeomorphisms",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:47Z",
  "url": "https://research.draconitic.com/paper/49rce3gd0tdm1",
  "venue": "arXiv",
  "versions": []
}