# The stochastic Weiss conjecture

15 May 2012
09:30
to
10:45
Abstract
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.
• Functional Analysis Seminar