{
  "id": "0910.0315",
  "version": "v1",
  "published": "2009-10-02T03:27:25.000Z",
  "updated": "2009-10-02T03:27:25.000Z",
  "title": "Hypoellipticity in Infinite Dimensions",
  "authors": [
    "Martin Hairer"
  ],
  "comment": "ISAAC 09 conference proceedings",
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "We consider semilinear parabolic stochastic PDEs driven by additive noise. The question addressed in this note is that of the regularity of transition probabilities. If the equation satisfies a Hormander 'bracket condition', then any finite-dimensional projection of the solution has a smooth density with respect to Lebesgue measure. One key ingredient in the argument is a bound on 'Wiener polynomials' that plays a role analogue to Norris' lemma.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-10-02T03:27:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "infinite dimensions",
      "semilinear parabolic stochastic pdes driven",
      "hypoellipticity",
      "hormander bracket condition",
      "transition probabilities"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.0315H"
    }
  }
}