You are here

Renormalization: a BPHZ theorem for stochastic PDEs

Martin Hairer, Imperial College London
Wednesday, November 1, 2017 - 4:00pm to 5:00pm
Smith 211
Martin Hairer, Imperial College London
Martin Hairer, Imperial College London

We show how some of the ideas explored in the previous two lectures can be applied to the study of singular stochastic PDEs.  In particular, we show that although it is not clear a priori what it means to "solve" any particular one of these equations, they can be divided into finite-dimensional families of solutions that are themselves defined in a canonical way.  This is a consequence of a version of the celebrated "BPHZ theorem" which governs renormalisation techniques in perturbative QFT.

Event Subcalendar: 
Share