A detailed proof of Bourgain's Return Times Theorem
Dynamical Systems
2019-01-15 v1 Functional Analysis
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 -algebra.
Keywords
Cite
@article{arxiv.1901.04228,
title = {A detailed proof of Bourgain's Return Times Theorem},
author = {Simon Fritzsch},
journal= {arXiv preprint arXiv:1901.04228},
year = {2019}
}
Comments
80 pages, in German