The stochastic Weiss conjecture

The stochastic Weiss conjecture

Tue, 15/05/2012
09:30 		Jan van Neerven (Delft University of Technology) Functional Analysis Seminar Add to calendar L3
The stochastic Weiss conjecture
The stochastic Weiss conjecture is the statement that for linear stochastic evolution equations governed by a linear operator $ A $ and driven by a Brownian motion, a necessary and sufficient condition for the existence of an invariant measure can be given in terms of the operators $ \sqrt{\lambda}(\lambda-A)^{-1} $. Such a condition is presented in the special case where $ -A $ admits a bounded $ H^\infty $-calculus of angle less than $ \pi/2 $. This is joint work with Jamil Abreu and Bernhard Haak.