{
  "abstract": "We show, under a smoothness assumption, that probability measures whose exponential tilts have a uniformly bounded variance are given by a strongly convex potential, up to a bounded perturbation, yielding a partial converse to the Bakry-Émery theorem combined with Holley-Stroock's perturbation principle. A stronger version enforcing uniform convexity of the potential is obtained by considering the low-temperature regime.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34570",
  "author_total": 1,
  "authors": [
    {
      "name": "Aziz Ben Nejma"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/66n6v4whd3jzz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34570",
  "fulltext_url": null,
  "id": "66n6v4whd3jzz",
  "issns": [],
  "landing_url": "https://hal.science/hal-05840953v1",
  "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.PR"
    ],
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "1.math.math-pr"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05840953/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/66n6v4whd3jzz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:02Z",
      "native_id": "hal-05840953",
      "source": "hal",
      "url": "https://hal.science/hal-05840953v1"
    },
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.34570",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34570"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Concentration of Exponential Tilts Implies Curvature",
  "title_text": "Concentration of Exponential Tilts Implies Curvature",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/66n6v4whd3jzz",
  "venue": "HAL",
  "versions": []
}