{
  "abstract": "The Kannan--Lovász--Simonovits (KLS) conjecture asks whether every isotropic log-concave probability measure on $\\mathbb R^n$ has a Cheeger constant bounded below by a universal positive constant. We prove that $ψ_n\\le C$ for a universal constant $C>0$, resolving the KLS conjecture. We also prove that $C_P(μ)\\le C'$ for every isotropic log-concave probability measure $μ$ on $\\mathbb R^n$, with a universal constant $C'>0$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.01447",
  "author_total": 2,
  "authors": [
    {
      "name": "Zhao Song"
    },
    {
      "name": "Xinzhi Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fk6m40rgq7akq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.01447",
  "fulltext_url": null,
  "id": "fk6m40rgq7akq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.01447",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
    ]
  ],
  "openalex": "W7216026011",
  "pdf_url": "https://arxiv.org/pdf/2610.01447",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fk6m40rgq7akq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.01447",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.01447"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "An $O(1)$ Bound for the KLS Constant",
  "title_text": "An O(1) Bound for the KLS Constant",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/fk6m40rgq7akq",
  "venue": "arXiv",
  "versions": []
}