Title: Kronecker disjointness of dynamical systems and a spectral refinement of the BHK-decomposition.
Speaker: Florian Richter (Ohio State University)
Abstract: We investigate how spectral properties of measure preserving systems are reflected in ergodic averages and multiple ergodic averages (aka. non-conventional ergodic averages) arising from this system. This leads to natural strengthenings of the classical mean ergodic theorem and its various generalizations. In particular, we derive new weighted multiple ergodic theorems.