Modul: MAT760 Ergodic Theory and Dynamical Systems Seminar

## Dynamical Borel--Cantelli Lemma for Lipschitz Twists

Talk by Jiajie Zheng

**Date:** 02.05.22 **Time:** 15.30 - 16.30 **Room:** ETH HG G 43

In the study of some dynamical systems, the limit superior of a sequence of measurable sets is often of interest. The shrinking targets and recurrence are two of the most commonly studied problems that concern limit superior sets. However, the zero-one laws for the shrinking targets and recurrence are usually treated separately and proved differently. In this talk, we construct a generalized definition that can specialize into the shrinking targets and recurrence and our approach gives a unified proof to the zero-one laws for the two problems.