{
  "titles": [
    {
      "title": "Weak universality for a class of 3d stochastic reaction-diffusion models"
    }
  ],
  "creators": [
    {
      "name": "Furlan, Marco",
      "nameType": "Personal",
      "familyName": "Furlan",
      "givenName": "Marco"
    },
    {
      "name": "Gubinelli, Massimiliano",
      "nameType": "Personal",
      "familyName": "Gubinelli",
      "givenName": "Massimiliano"
    }
  ],
  "publisher": {
    "name": "Papers of Massimiliano Gubinelli"
  },
  "publicationYear": 2017,
  "types": {
    "resourceTypeGeneral": "Preprint"
  },
  "version": "3",
  "url": "https://arxiv.org/abs/1708.03118v2",
  "dates": [
    {
      "date": "2017-08-10",
      "dateType": "Issued"
    },
    {
      "date": "2018-01-26",
      "dateType": "Available"
    }
  ],
  "language": "en",
  "formats": [
    "application/pdf",
    "application/x-tex",
    "application/x-texmacs",
    "application/x-bibtex"
  ],
  "subjects": [
    {
      "subject": "math.PR",
      "subjectScheme": "arXiv"
    },
    {
      "subject": "math.AP",
      "subjectScheme": "arXiv"
    }
  ],
  "rightsList": [
    {
      "rights": "Creative Commons Zero v1.0 Universal",
      "rightsIdentifier": "cc0-1.0",
      "rightsUri": "http://creativecommons.org/publicdomain/zero/1.0/",
      "rightsIdentifierScheme": "SPDX"
    }
  ],
  "descriptions": [
    {
      "description": "We establish the large scale convergence of a class of stochastic weakly nonlinear reaction-diffusion models on a three dimensional periodic domain to the dynamic $\\Phi^4_3$ model within the framework of paracontrolled distributions. Our work extends previous results of Hairer and Xu to nonlinearities with a finite amount of smoothness (in particular $C^9$ is enough). We use the Malliavin calculus to perform a partial chaos expansion of the stochastic terms and control their $L^p$ norms in terms of the graphs of the standard $\\Phi^4_3$ stochastic terms.",
      "descriptionType": "Abstract"
    }
  ],
  "relatedIdentifiers": [
    {
      "relatedIdentifier": "arXiv:1708.03118v2",
      "relatedIdentifierType": "arXiv",
      "relationType": "IsIdenticalTo"
    },
    {
      "relatedIdentifier": "10.48550/arXiv.1708.03118",
      "relatedIdentifierType": "DOI",
      "relationType": "IsVersionOf"
    }
  ]
}