Pointwise ergodic theorems for actions of groups

Abstract

The survey presents the main developments obtained over the last decade regarding pointwise ergodic theorems for measure preserving actions of locally compact groups. The survey includes an exposition of the solutions to a number of long standing open problems in ergodic theory, some of which are very recent and have not yet appeared elsewhere.

Final version. To appear in the Handbook of Dynamical Systems, vol. I B, Ed. B. Hasselblatt and A. Katok

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