Title: Regularity properties for stationary measures for Random
dynamical systems
Abstract: In joint work with A. Algom and Z. Wang we show polynomial
decay of the Fourier coefficients of stationary measures for
contracting random dynamical systems (IFS) on the interval under very
general conditions. I plan to present some consequences of this result
and its context relating it to another result in higher dimensions
showing rigidity properties of some volume preserving random dynamical
systems joint with A. Brown, A. Eskin and S. Filip. Though the context
and technique are quite different, the underlying key condition seems
to be the same.
Recording Link: https://huji.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=da840bcf-2c0f...