{
  "abstract": "We prove the Ding--Song--Sun inequality for continuous spin models on finite ferromagnetic graphs whose even single-site potentials have convex derivatives on the positive half of their domain. This class, introduced by Ellis, Monroe and Newman, includes the $φ^4$ and sinh-Gordon potentials. The proof uses a rank-one interpolation of the interactions and a maximum principle for a cooperative parabolic system on a half-plane. The boundary conditions follow by induction on the number of vertices and the number of positive coordinates of the field increment. In particular, the truncated two-point function in an arbitrary external field is bounded above by its zero-field value.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.10528",
  "author_total": 1,
  "authors": [
    {
      "name": "Fu-Hsuan Ho"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dm45dxp64s15j.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.10528",
  "fulltext_url": null,
  "id": "dm45dxp64s15j",
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  "landing_url": "https://arxiv.org/abs/2609.10528",
  "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",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W7212123307",
  "pdf_url": "https://arxiv.org/pdf/2609.10528",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dm45dxp64s15j.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:16Z",
      "native_id": "2609.10528",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.10528"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "The Ding--Song--Sun inequality via a maximum principle",
  "title_text": "The Ding--Song--Sun inequality via a maximum principle",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:16Z",
  "url": "https://research.draconitic.com/paper/dm45dxp64s15j",
  "venue": "arXiv",
  "versions": []
}