{
  "abstract": "We establish a cutoff criterion for finite Markov chains with non-negative Bakry--Émery curvature without assuming that the support of the transition matrix is symmetric. This extends a criterion of Salez based on a refined product condition. For each allowed transition, we consider a shortest directed path from its endpoint back to its starting point. Our cutoff criterion depends on the maximum length of these paths. We also obtain a discrete-time counterpart for lazy chains. For random walks on finite Abelian groups, we prove non-negative Bakry--Émery curvature for arbitrary generating sets. As an application, we establish almost-sure cutoff for random walks on products of cyclic groups of order three.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.28518",
  "author_total": 1,
  "authors": [
    {
      "name": "Kazuki Okamura"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/62h5q0ahhg1vf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.28518",
  "fulltext_url": null,
  "id": "62h5q0ahhg1vf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.28518",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
    ]
  ],
  "openalex": "W7214274008",
  "pdf_url": "https://arxiv.org/pdf/2609.28518",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/62h5q0ahhg1vf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:15Z",
      "native_id": "2609.28518",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.28518"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Cutoff on non-negatively curved chains without symmetric support condition",
  "title_text": "Cutoff on non-negatively curved chains without symmetric support condition",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:15Z",
  "url": "https://research.draconitic.com/paper/62h5q0ahhg1vf",
  "venue": "arXiv",
  "versions": []
}