{
  "abstract": "In this paper, we establish a necessary and sufficient condition for a group action on a bifoliated plane to arise from a topological Anosov flow supported by an orientable $3$-manifold. More precisely, we show that a group action on a non-singular bifoliated plane arises from such a flow if and only if it is an orientation preserving strong Markovian action, that is, an orientation preserving action of the plane preserving a family of rectangles satisfying suitable Markov-type properties. Furthermore, we prove that this family of rectangles can be lifted to a Markov partition of the associated flow.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.25604",
  "author_total": 2,
  "authors": [
    {
      "name": "François Béguin"
    },
    {
      "name": "Ioannis Iakovoglou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dgk1xppctp3a8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.25604",
  "fulltext_url": null,
  "id": "dgk1xppctp3a8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.25604",
  "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": "W7171632898",
  "pdf_url": "https://arxiv.org/pdf/2607.25604",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dgk1xppctp3a8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:29Z",
      "native_id": "2607.25604",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.25604"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "From Markovian actions to Anosov flows",
  "title_text": "From Markovian actions to Anosov flows",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/dgk1xppctp3a8",
  "venue": "arXiv",
  "versions": []
}