{
  "abstract": "We establish a dimension-free long-time reverse transportation, respectively Harnack inequality for the underdamped Langevin dynamics with non-convex potential. Specifically, we prove that for any two initial points $z,z'$ and $P_t$ the underdamped Langevin semigroup, it holds \\begin{equation} \\mathrm{KL}(δ_z P_t|δ_{z'}P_t) \\leq C\\mathrm{e}^{-χt}|z-z'|(\\mathcal{R}\\vee|z-z'|) \\end{equation} for all $t>δ$ where $δ>0$ is arbitrarily small and $C=C(δ),\\mathcal{R},χ>0$ are dimension free constants. In particular, our proof extends recent results which are restricted to either the convex underdamped or the non-convex but overdamped setting.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.02020",
  "author_total": 2,
  "authors": [
    {
      "name": "Andreas Habring"
    },
    {
      "name": "Laurenz Nagler"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a6v7rsnbqkdr3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.02020",
  "fulltext_url": null,
  "id": "a6v7rsnbqkdr3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.02020",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.02020",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a6v7rsnbqkdr3.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.02020",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.02020"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Reverse Transportation and Harnack Inequalities for Underdamped Langevin in the Non-convex Setting",
  "title_text": "Reverse Transportation and Harnack Inequalities for Underdamped Langevin in the Non-convex Setting",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/a6v7rsnbqkdr3",
  "venue": "arXiv",
  "versions": []
}