Modul: MAT760 Ergodic Theory and Dynamical Systems Seminar

## Some properties of automorphisms disjoint with all ergodic systems

Talk by Dr. Przemyslaw Berk

**Date:** 07.06.21 **Time:** 15.00 - 16.15 **Room:** ETH HG F 3

The talk is based on a joint work with Tim Austin, Martyna Gorska and Mariusz Lemanczyk. It is a classical fact that identity is disjoint from every ergodic system. It turns out that the family of systems with this property is far richer. First I will give some examples and a general construction of elements of this class. Then I will talk about certain properties of systems disjoint with ergodic automorphisms, with a particular emphasis on joinings of such systems. Time permitting, I will give a sketch of the proof that the product of two systems disjoint with ergodic systems also has this property