{
  "abstract": "In this work, we introduce multi-Novikov algebras, a generalisation of Novikov algebras with several binary operations indexed by a given set, and show that the multi-indices recently introduced in the context of singular stochastic partial differential equations can be interpreted as free multi-Novikov algebras. This is parallel to the fact that decorated rooted trees arising in the context of regularity structures are related to free multi-pre-Lie algebras.",
  "abstract_shown": true,
  "affiliations": [
    "Université de Lorraine, CNRS, IECL, 54000 Nancy (France)",
    "Institut Élie Cartan de Lorraine",
    "Université de Strasbourg, CNRS, IRMA, 67000 Strasbourg (France)",
    "Institut de Recherche Mathématique Avancée"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0,
        1
      ],
      "name": "Yvain Bruned",
      "orcid": "0000-0002-1714-9130"
    },
    {
      "affs": [
        2,
        3
      ],
      "name": "Vladimir Dotsenko",
      "orcid": "0000-0002-6949-5166"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2nvrvdybjyqch.bib",
  "cited_by": 21,
  "doi": "10.5802/ahl.275",
  "fulltext_url": null,
  "id": "2nvrvdybjyqch",
  "issns": [
    "2644-9463"
  ],
  "landing_url": "https://doi.org/10.5802/ahl.275",
  "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",
      "2602|Advanced Topics in Algebra"
    ]
  ],
  "openalex": "W4388748394",
  "pdf_url": "https://ahl.centre-mersenne.org/item/10.5802/ahl.275.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-11",
  "publisher": "Centre Mersenne",
  "ris": "https://research.draconitic.com/paper/2nvrvdybjyqch.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T13:20:59Z",
      "native_id": "W4388748394",
      "source": "openalex",
      "url": "https://doi.org/10.5802/ahl.275"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2602|Advanced Topics in Algebra",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Novikov algebras and multi-indices in regularity structures",
  "title_text": "Novikov algebras and multi-indices in regularity structures",
  "type": "peer-reviewed",
  "updated_at": "2026-11-07T13:20:41Z",
  "url": "https://research.draconitic.com/paper/2nvrvdybjyqch",
  "venue": "Annales Henri Lebesgue",
  "versions": []
}