{
  "abstract": "Let $f$ be an Anosov diffeomorphism on the $d$-torus which is strongly partially hyperbolic with expanding center. If $d=3$ or if $f$ is isotopic to its linear part, where the isotopy is contained in the set of partially hyperbolic diffeomorphisms, we construct systems of strong-unstable and center-stable Margulis measures which are holonomy invariant. As a consequence, we obtain a characterization of measures of maximal unstable entropy in terms of their conditional measures along strong-unstable leaves. Moreover, we show that the unstable topological entropy, a measure of maximal unstable entropy and the Margulis system can be retrieved from the Pollicott-Ruelle spectrum of $f$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.24647",
  "author_total": 1,
  "authors": [
    {
      "name": "Tristan Humbert"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4n8kg42atz0r0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.24647",
  "fulltext_url": null,
  "id": "4n8kg42atz0r0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.24647",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DS"
    ],
    [
      "openalex",
      "2610|Mathematical Dynamics and Fractals"
    ]
  ],
  "openalex": "W7222994427",
  "pdf_url": "https://arxiv.org/pdf/2610.24647",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4n8kg42atz0r0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.24647",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.24647"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Unstable entropy for Anosov diffeomorphisms on tori isotopic to Anosov linear maps",
  "title_text": "Unstable entropy for Anosov diffeomorphisms on tori isotopic to Anosov linear maps",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/4n8kg42atz0r0",
  "venue": "arXiv",
  "versions": []
}