{
  "id": "1610.03415",
  "version": "v1",
  "published": "2016-10-11T16:25:27.000Z",
  "updated": "2016-10-11T16:25:27.000Z",
  "title": "The strong Feller property for singular stochastic PDEs",
  "authors": [
    "Martin Hairer",
    "Jonathan Mattingly"
  ],
  "categories": [
    "math.PR",
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "We show that the Markov semigroups generated by a large class of singular stochastic PDEs satisfy the strong Feller property. These include for example the KPZ equation and the dynamical $\\Phi^4_3$ model. As a corollary, we prove that the Brownian bridge measure is the unique invariant measure for the KPZ equation with periodic boundary conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-11T16:25:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "strong feller property",
      "singular stochastic pdes satisfy",
      "kpz equation",
      "brownian bridge measure",
      "unique invariant measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}