{
  "abstract": "We prove results about stability under mixtures for transport--entropy inequalities and restricted functional inequalities of Poincaré and log-Sobolev type. We treat Talagrand inequalities of type $\\mathbf{T}_2$ and $\\mathbf{T}_1$ together with their generalizations, as well as weak transportation inequalities introduced by Gozlan et al. Our main results provide mild sufficient conditions under which a given inequality may be transferred from mixture components to the mixture itself.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.28234",
  "author_total": 3,
  "authors": [
    {
      "name": "Radosław Adamczak"
    },
    {
      "name": "Dominik Kutek"
    },
    {
      "name": "Michał Strzelecki"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2fnwecb9v35ty.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.28234",
  "fulltext_url": null,
  "id": "2fnwecb9v35ty",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.28234",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.FA"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
    ]
  ],
  "openalex": "W7214230708",
  "pdf_url": "https://arxiv.org/pdf/2609.28234",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2fnwecb9v35ty.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:00Z",
      "native_id": "2609.28234",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.28234"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Stability under mixtures of transportation inequalities and restricted log-Sobolev inequalities",
  "title_text": "Stability under mixtures of transportation inequalities and restricted log-Sobolev inequalities",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:00Z",
  "url": "https://research.draconitic.com/paper/2fnwecb9v35ty",
  "venue": "arXiv",
  "versions": []
}