{
  "id": "2310.10202",
  "version": "v1",
  "published": "2023-10-16T09:15:47.000Z",
  "updated": "2023-10-16T09:15:47.000Z",
  "title": "Random models on regularity-integrability structures",
  "authors": [
    "I. Bailleul",
    "M. Hoshino"
  ],
  "comment": "29 pages",
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "We prove a convergence result for a large class of random models that encompasses the case of the BPHZ models used in the study of singular stochastic PDEs. We introduce for that purpose a useful variation on the notion of regularity structure called a regularity-integrability structure. It allows to deal in a single elementary setting with models on a usual regularity structure and their first order Malliavin derivative.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-16T09:15:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random models",
      "regularity-integrability structure",
      "singular stochastic pdes",
      "usual regularity structure",
      "large class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}