{
  "abstract": "We construct and derive uniform stochastic estimates on the renormalised model for a class of fourth-order conservative quasilinear singular SPDEs in arbitrary dimension $$d\\ge 1 $$ d ≥ 1 and in the full subcritical regime of noise regularity. The prototype of the class of equations we study is the so-called thin-film equation with thermal noise, also commonly referred to in the literature as the stochastic thin-film equation. We derive an explicit expression for the form of the counterterm as a function of the film mobility which is in surprising agreement with the form conjectured in [GGKO23, Remark 9.1].",
  "abstract_shown": true,
  "affiliations": [
    "University of Edinburgh, Edinburgh, United Kingdom",
    "Universität Münster, Münster, Germany, and EPFL, Lausanne, Switzerland"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Rishabh S. Gvalani",
      "orcid": "0000-0003-2078-3383"
    },
    {
      "affs": [
        1
      ],
      "name": "Markus Tempelmayr"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9b3053f0dbds1.bib",
  "cited_by": 8,
  "doi": "10.1007/s00220-026-05695-1",
  "fulltext_url": null,
  "id": "9b3053f0dbds1",
  "issns": [
    "0010-3616",
    "1432-0916"
  ],
  "landing_url": "https://doi.org/10.1007/s00220-026-05695-1",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W4387164622",
  "pdf_url": "https://link.springer.com/content/pdf/10.1007/s00220-026-05695-1.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-01",
  "publisher": "Springer Science+Business Media",
  "ris": "https://research.draconitic.com/paper/9b3053f0dbds1.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T13:20:59Z",
      "native_id": "W4387164622",
      "source": "openalex",
      "url": "https://doi.org/10.1007/s00220-026-05695-1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2610|Stochastic processes and statistical mechanics",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Stochastic Estimates for the Thin-Film Equation with Thermal Noise",
  "title_text": "Stochastic Estimates for the Thin-Film Equation with Thermal Noise",
  "type": "peer-reviewed",
  "updated_at": "2026-11-05T13:20:40Z",
  "url": "https://research.draconitic.com/paper/9b3053f0dbds1",
  "venue": "Communications in Mathematical Physics",
  "versions": []
}