{
  "abstract": "We construct area-preserving irrational pseudo-rotations of the closed disk that fail to be $C^0$-rigid. For every Brjuno rotation number we obtain $C^1$ examples, and they may be chosen arbitrarily $C^1$-close to the rigid rotation with the same rotation number. For $0<β<1$, a weighted Brjuno condition gives $C^{1,β}$ examples that are arbitrarily close in the $C^{1,β}$ topology; this weighted range contains every rotation number with denominator-growth exponent strictly smaller than $1/β$ and also some numbers at the critical exponent. For a suitable Brjuno--Liouville rotation number, we also obtain an example whose derivative growth is not bounded by any polynomial.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.09986",
  "author_total": 3,
  "authors": [
    {
      "name": "Ziran Liu"
    },
    {
      "name": "Jian Wang"
    },
    {
      "name": "Peizheng Yu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cd4g8s0k3ap0d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.09986",
  "fulltext_url": null,
  "id": "cd4g8s0k3ap0d",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.09986",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DS"
    ],
    [
      "openalex",
      "2610|Mathematical Dynamics and Fractals"
    ]
  ],
  "openalex": "W7221012453",
  "pdf_url": "https://arxiv.org/pdf/2610.09986",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cd4g8s0k3ap0d.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:42Z",
      "native_id": "2610.09986",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.09986"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Non-rigid disk pseudo-rotations in $C^1$ and $C^{1,β}$",
  "title_text": "Non-rigid disk pseudo-rotations in C^1 and C^1,β",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:42Z",
  "url": "https://research.draconitic.com/paper/cd4g8s0k3ap0d",
  "venue": "arXiv",
  "versions": []
}