{
  "id": "1511.08888",
  "version": "v1",
  "published": "2015-11-28T10:40:33.000Z",
  "updated": "2015-11-28T10:40:33.000Z",
  "title": "Malliavin Calculus for regularity structures: the case of gPAM",
  "authors": [
    "Giuseppe Cannizzaro",
    "Peter K. Friz",
    "Paul Gassiat"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "Malliavin calculus is implemented in the context of [M. Hairer, A theory of regularity structures, Invent. Math. 2014]. This involves some constructions of independent interest, notably an extension of the structure which accomodates a robust, and purely deterministic, translation operator, in $L^2$-directions, between \"models\". In the concrete context of the generalized parabolic Anderson model in 2D - one of the singular SPDEs discussed in the afore-mentioned article - we establish existence of a density at positive times.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-28T10:40:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "regularity structures",
      "malliavin calculus",
      "generalized parabolic anderson model",
      "independent interest",
      "concrete context"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151108888C"
    }
  }
}