Show simple item record

On Unique Ergodicity in Nonlinear Stochastic Partial Differential Equations

dc.contributor.author Glatt-Holtz, N
dc.contributor.author Mattingly, Jonathan Christopher
dc.contributor.author Richards, G
dc.date.accessioned 2015-12-28T16:15:44Z
dc.date.issued 2016-08-31
dc.identifier.issn 0022-4715
dc.identifier.uri http://hdl.handle.net/10161/11277
dc.description.abstract © 2016 Springer Science+Business Media New YorkWe illustrate how the notion of asymptotic coupling provides a flexible and intuitive framework for proving the uniqueness of invariant measures for a variety of stochastic partial differential equations whose deterministic counterpart possesses a finite number of determining modes. Examples exhibiting parabolic and hyperbolic structure are studied in detail. In the later situation we also present a simple framework for establishing the existence of invariant measures when the usual approach relying on the Krylov–Bogolyubov procedure and compactness fails.
dc.relation.ispartof Journal of Statistical Physics
dc.relation.isversionof 10.1007/s10955-016-1605-x
dc.title On Unique Ergodicity in Nonlinear Stochastic Partial Differential Equations
dc.type Journal article
pubs.begin-page 1
pubs.end-page 32
pubs.organisational-group Duke
pubs.organisational-group Mathematics
pubs.organisational-group Statistical Science
pubs.organisational-group Trinity College of Arts & Sciences
pubs.publication-status Accepted


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record