Benjamin Weiss (Hebrew University)

Recent results in the theory of actions of amenable groups

Abstract. The last few years have seen remarkable progress in the extension of the classical ergodic theory from $\mathbb Z$ and $\mathbb{R}$ to amenable groups. I will give an overview of some of these, such as: Pointwise ergodic theorems, spectral and mixing properties of completely positive entropy actions, entropy estimation from finite data.