Transport and localization in random media: theory and applications

Ergodicity of Singular SPDEs

Jonathan Mattingly

Duke University

I will talk about a simple idea which can be implemented in the setting of many singular spdes to establish that they have at most one invariant measure/statistical steady state. I will apply the idea to the Phi(4,3) model and a system of KPZ equations. I will also show how to extend local in time solutions to global in time using the same ideas.