{
  "abstract": "Nous utilisons l’approche sans diagramme des structures de régularité introduite par Otto et al. pour construire des chemins rugueux basés sur des multi-indices. Nous identifions l’analogue de l’algèbre pré-Lie d’insertion des arbres et l’utilisons pour construire le groupe correspondant de translations des chemins rugueux. Nous précisons cette identification en montrant que le dictionnaire naturel entre les arbres et les multi-indices définit un morphisme pré-Lie sous l’insertion, ce qui induit à son tour un morphisme d’algèbre de Hopf vers l’algèbre de Hopf des arbres enracinés, équipée du coproduit d’extraction-contraction.",
  "abstract_shown": true,
  "affiliations": [
    "Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, Madrid, Spain"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Pablo Linares",
      "orcid": "0000-0003-4972-0570"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/42k2qr78h8g1m.bib",
  "cited_by": 21,
  "doi": "10.1214/25-aihp1570",
  "fulltext_url": null,
  "id": "42k2qr78h8g1m",
  "issns": [
    "0246-0203",
    "1778-7017"
  ],
  "landing_url": "https://doi.org/10.1214/25-aihp1570",
  "language": "fr",
  "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": "W4384388056",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-01",
  "publisher": "Institute of Mathematical Statistics",
  "ris": "https://research.draconitic.com/paper/42k2qr78h8g1m.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T13:20:59Z",
      "native_id": "W4384388056",
      "source": "openalex",
      "url": "https://doi.org/10.1214/25-aihp1570"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2602|Advanced Topics in Algebra",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Insertion pre-Lie products and translation of rough paths based on multi-indices",
  "title_text": "Insertion pre-Lie products and translation of rough paths based on multi-indices",
  "type": "peer-reviewed",
  "updated_at": "2026-11-09T13:20:59Z",
  "url": "https://research.draconitic.com/paper/42k2qr78h8g1m",
  "venue": "Annales de l Institut Henri Poincaré Probabilités et Statistiques",
  "versions": []
}