{
  "abstract": "Following recent work of Alazard and Shao [AlSh] on applications of para-differential calculus to smooth conjugacy and stability problems for Hamiltonian systems, we prove finite codimension stability of invariant surfaces (in finite differentiability classes) of flat geodesic flows on translation surfaces. The result is also based on work of the author [F97, F21] on the cohomological equation for translation flows.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematics, University of Maryland, College Park, MD USA.",
    "CY Cergy Paris Université, Cergy-Pontoise, France."
  ],
  "article_type": "research article",
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0,
        1
      ],
      "name": "Giovanni Forni",
      "orcid": "0000-0002-6777-986X"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5sbtrrp07snge.bib",
  "cited_by": 0,
  "doi": "10.1007/s00220-026-05764-5",
  "fulltext_url": "https://europepmc.org/articles/PMC13710464",
  "id": "5sbtrrp07snge",
  "issns": [
    "0010-3616",
    "1432-0916"
  ],
  "landing_url": "https://europepmc.org/article/MED/42948153",
  "language": "eng",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "heading",
      "Article"
    ],
    [
      "openalex",
      "2610|Mathematical Dynamics and Fractals"
    ]
  ],
  "openalex": "W4407124420",
  "pdf_url": "https://europepmc.org/articles/PMC13710464?pdf=render",
  "pmcid": "PMC13710464",
  "pmid": "42948153",
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5sbtrrp07snge.ris",
  "sources": [
    {
      "first_seen": "2026-10-31T00:20:33Z",
      "native_id": "MED:42948153",
      "source": "europepmc",
      "url": "https://europepmc.org/article/MED/42948153"
    },
    {
      "first_seen": "2026-10-31T12:21:26Z",
      "native_id": "PMC13710464",
      "source": "pmc",
      "url": "https://doi.org/10.1007/s00220-026-05764-5"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2610|Mathematical Dynamics and Fractals",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Finite Codimension Stability of Invariant Surfaces.",
  "title_text": "Finite Codimension Stability of Invariant Surfaces.",
  "type": "peer-reviewed",
  "updated_at": "2026-10-31T12:21:26Z",
  "url": "https://research.draconitic.com/paper/5sbtrrp07snge",
  "venue": "Communications in mathematical physics",
  "versions": []
}