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Dynamical systems on measure spaces, invariant measures, ergodic averages, mixing properties.

3 votes
1 answer
593 views

Understanding a proof that the simplex of shift invariant probability measures on $\{0,1\}^\...

This is a question on the proof of this fact in chapter 3 of the book "Functional Analysis: Surveys and Recent Results II". There at the end the proof is outlined as follows: Let $\mu$ be a shift inv …