Show simple item record

The strong Feller property for singular stochastic PDEs

dc.contributor.author Hairer, M
dc.contributor.author Mattingly, Jonathan Christopher
dc.date.accessioned 2016-11-08T10:38:10Z
dc.date.issued 2016
dc.identifier http://arxiv.org/abs/1610.03415v1
dc.identifier.uri http://hdl.handle.net/10161/12996
dc.description.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.
dc.subject math.PR
dc.subject math.PR
dc.subject math-ph
dc.subject math.AP
dc.subject math.MP
dc.title The strong Feller property for singular stochastic PDEs
dc.type Journal article
pubs.author-url http://arxiv.org/abs/1610.03415v1
pubs.organisational-group Duke
pubs.organisational-group Mathematics
pubs.organisational-group Statistical Science
pubs.organisational-group Trinity College of Arts & Sciences
pubs.publication-status Submitted


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record