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A detailed proof of Bourgain's Return Times Theorem

Published 14 Jan 2019 in math.DS and math.FA | (1901.04228v1)

Abstract: In this diploma thesis (written in German) we present a detailed proof of Bourgain's Return Times Theorem due to Bourgain, Furstenberg, Katznelson and Ornstein following their paper as well as the book by Assani. Moreover, we generalize the result to return time sequences coming from systems with purely atomic invariant $\sigma$-algebra.

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