{
  "abstract": "We give an approximate sampler for ferromagnetic Ising models with no field on arbitrary graphs that runs in time $\\widetilde O(m+n)+\\widetilde O_β(n^2\\log^2 (1 / \\varepsilon))$, where $n$ and $m$ are the numbers of vertices and edges, respectively, and $\\varepsilon$ is the approximation error. Our approach combines Benczúr--Karger cut sparsification with a new mixing time analysis of the Glauber dynamics for the random-cluster model. The mixing time analysis features a new monotone edge-count Poincaré inequality.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.26197",
  "author_total": 3,
  "authors": [
    {
      "name": "Weiming Feng"
    },
    {
      "name": "Heng Guo"
    },
    {
      "name": "Yiyao Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5gprm6kr7e2cs.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.26197",
  "fulltext_url": null,
  "id": "5gprm6kr7e2cs",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.26197",
  "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",
      "cs.DS"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2613|Markov Chains and Monte Carlo Methods"
    ]
  ],
  "openalex": "W7214090878",
  "pdf_url": "https://arxiv.org/pdf/2609.26197",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5gprm6kr7e2cs.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:00Z",
      "native_id": "2609.26197",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.26197"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "An $\\widetilde{O}\\left(n^2 \\right)$-Time Sampler for Zero-Field Ferromagnetic Ising Models",
  "title_text": "An Õ(n^2 )-Time Sampler for Zero-Field Ferromagnetic Ising Models",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:00Z",
  "url": "https://research.draconitic.com/paper/5gprm6kr7e2cs",
  "venue": "arXiv",
  "versions": []
}