{
  "abstract": "Can a strictly convex billiard be ergodic? For the billiard in a suitable intersection of two circles, we establish \\emph{uniform} expansion of vectors in an invariant cone family under the return to a well-chosen section. This is the first and most onerous step towards a forthcoming proof of ergodicity (the Chen--Mohr--Zhang--Zhang conjecture) and statistical properties. Together, this appears to be the first time that a strictly convex billiard is shown to be ergodic.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26441",
  "author_total": 2,
  "authors": [
    {
      "name": "Wentao Fan"
    },
    {
      "name": "Boris Hasselblatt"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5zqqna5g1qerp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26441",
  "fulltext_url": null,
  "id": "5zqqna5g1qerp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.26441",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.DS"
    ],
    [
      "arxiv",
      "math.MP"
    ],
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      "openalex",
      "2610|Mathematical Dynamics and Fractals"
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  "openalex": "W7223034797",
  "pdf_url": "https://arxiv.org/pdf/2610.26441",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5zqqna5g1qerp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.26441",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26441"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Uniformly hyperbolic strictly convex billiards",
  "title_text": "Uniformly hyperbolic strictly convex billiards",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/5zqqna5g1qerp",
  "venue": "arXiv",
  "versions": []
}