Notes on Austin's multiple ergodic theorem

Details Notes on Austin's multiple ergodic theorem Notes on Austin's multiple ergodic theorem

2009-07-03

arxiv.org/abs/0907.0538v4

Mathematics

Dynamical Systems

Scientific paper

The purpose of this note is to present my understanding of Tim Austin's proof
of the multiple ergodic theorem for commuting transformations, emphasizing on
the use of joinings, extensions and factors. The existence of a sated
extension, which is a key argument in the proof, is presented in a general
context.

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