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arXiv:1904.10031 [math.DS]AbstractReferencesReviewsResources

A combinatorial proof of the pointwise ergodic theorem for actions of amenable groups along Tempelman Følner Sequences

Jonathan Boretsky, Jenna Zomback

Published 2019-04-22Version 1

We generalize A. Tserunyan's proof of the pointwise ergodic theorem for $\mathbb{Z}$ to give a short and combinatorial proof of the pointwise ergodic theorem for actions of amenable groups along Tempelman F{\o}lner sequences. We do this by finding Vitali coverings with F{\o}lner tiles in multiple scales.

Comments: 5 pages
Categories: math.DS, math.LO
Subjects: 37A30, 03E15
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