Multiple ergodic theorems: old and new - Lecture 2
By Bryna Kra
Also appears in collection : Probabilistic aspects of multiple ergodic averages / Aspects probabilistes des moyennes ergodiques multiples
The classic mean ergodic theorem has been extended in numerous ways: multiple averages, polynomial iterates, weighted averages, along with combinations of these extensions. I will give an overview of these advances and the different techniques that have been used, focusing on convergence results and what can be said about the limits.
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