{
  "abstract": "We study how a relaxed gradient estimate is enough to prove cutoff for several new families of Markov processes, within the varentropy framework of [Sal25a].\n\nIn particular, we show how certain regularization estimates from hypocoercivity theory allow one to prove cutoff for kinetic dynamics. Moreover, we prove cutoff for some families of diffusions with non-convex potentials and for mean-field dynamics, as well as for biased random walks on the symmetric group, giving a simple proof of a far-reaching extension of a result of [NY24].",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26019",
  "author_total": 4,
  "authors": [
    {
      "name": "Max Fathi"
    },
    {
      "name": "Arnaud Guillin"
    },
    {
      "name": "Cyril Labbé"
    },
    {
      "name": "Justin Salez"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8t2ehqpjrzbd7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26019",
  "fulltext_url": null,
  "id": "8t2ehqpjrzbd7",
  "issns": [],
  "landing_url": "https://hal.science/hal-05803728v1",
  "language": "en",
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
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      "arxiv",
      "math.FA"
    ],
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      "arxiv",
      "math.PR"
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    ],
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      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
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  ],
  "openalex": "W7223041930",
  "pdf_url": "https://hal.science/hal-05803728/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8t2ehqpjrzbd7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:58Z",
      "native_id": "hal-05803728",
      "source": "hal",
      "url": "https://hal.science/hal-05803728v1"
    },
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.26019",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26019"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Cutoff beyond non-negative curvature",
  "title_text": "Cutoff beyond non-negative curvature",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/8t2ehqpjrzbd7",
  "venue": "HAL",
  "versions": []
}