{
  "abstract": "We establish topological transitivity for a class of analytic partially hyperbolic diffeomorphisms on thickened nilmanifolds. These systems take the form of skew products, constructed as interval extensions of Anosov diffeomorphisms on nilmanifolds. Specifically, we develop a mechanism for topological transitivity allowing arbitrary finite-order parabolic degeneracies in the central direction.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.24437",
  "author_total": 2,
  "authors": [
    {
      "name": "Wenchao Li"
    },
    {
      "name": "Mingyang Xia"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4j0arfc7de9vt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.24437",
  "fulltext_url": null,
  "id": "4j0arfc7de9vt",
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  "landing_url": "https://arxiv.org/abs/2609.24437",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DS"
    ],
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      "openalex",
      "2610|Mathematical Dynamics and Fractals"
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  "openalex": "W7214048623",
  "pdf_url": "https://arxiv.org/pdf/2609.24437",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4j0arfc7de9vt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2609.24437",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.24437"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "On the Topological Transitivity of Interval Extensions of Anosov Diffeomorphisms",
  "title_text": "On the Topological Transitivity of Interval Extensions of Anosov Diffeomorphisms",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/4j0arfc7de9vt",
  "venue": "arXiv",
  "versions": []
}