Almost everywhere convergence of ergodic averages

ABSTRACT:  

In this talk I would like to discuss some of my results concerning almost everywhere convergence of non-conventional ergodic averages of L1 functions.

These topics include:

• divergence of ergodic averages along the squares;
• convergence along some sequences of zero Banach density;
• convergence for arithmetic weights: the prime divisor functions ω and Ω.

Posted on Oct 24, 2018 in Dynamical Systems, Seminars