{
  "abstract": "We prove that free additive convolution preserves the $k$-convex order for every $k\\ge2$, assuming finite $(k-1)$st absolute moments for the compared measures and a finite $\\max\\{2,k-1\\}$th absolute moment for the convolving measure. In particular, the case $k=4$ gives an affirmative answer to a question of Heinävaara concerning fourth-order convolution comparison.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.35901",
  "author_total": 1,
  "authors": [
    {
      "name": "Cheng-Xuan Soong"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/71379gwed1t7b.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.35901",
  "fulltext_url": null,
  "id": "71379gwed1t7b",
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  "landing_url": "https://arxiv.org/abs/2609.35901",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.OA"
    ],
    [
      "openalex",
      "2613|Random Matrices and Applications"
    ]
  ],
  "openalex": "W7214956214",
  "pdf_url": "https://arxiv.org/pdf/2609.35901",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/71379gwed1t7b.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:35Z",
      "native_id": "2609.35901",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.35901"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Higher-order convex orders under free additive convolution",
  "title_text": "Higher-order convex orders under free additive convolution",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:35Z",
  "url": "https://research.draconitic.com/paper/71379gwed1t7b",
  "venue": "arXiv",
  "versions": []
}