{
  "abstract": "We adapt the 'induction over scales' scheme of Duminil-Copin, Manolescu, and Tassion to the FK-Ising model on s-embeddings. Namely, we prove the existence of crossings of rough topological quadrilaterals with unfavorable boundary conditions, known as 'strong' RSW, under the 'uniformly bounded geometry' assumption (all edge lengths are comparable to 1 and all angles are bounded from below) on the tangential quads that form an s-embedding. This result has a number of standard consequences like quasi-multiplicativity of arm events and fractal properties of the clusters. It can be applied in a variety of setups including near-critical Ising models on regular grids below the correlation length scale by considering appropriate s-embedding thereof.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.11990",
  "author_total": 2,
  "authors": [
    {
      "name": "Dmitry Chelkak"
    },
    {
      "name": "Yanqing Wei"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0snjj9szcy03q.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.11990",
  "fulltext_url": null,
  "id": "0snjj9szcy03q",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.11990",
  "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-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.PR"
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      "openalex",
      "2610|Stochastic processes and statistical mechanics"
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  "openalex": "W7221117549",
  "pdf_url": "https://arxiv.org/pdf/2610.11990",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0snjj9szcy03q.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:54Z",
      "native_id": "2610.11990",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.11990"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Strong RSW estimates for the FK-Ising model on s-embeddings",
  "title_text": "Strong RSW estimates for the FK-Ising model on s-embeddings",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:58Z",
  "url": "https://research.draconitic.com/paper/0snjj9szcy03q",
  "venue": "arXiv",
  "versions": []
}