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arXiv · 1904.10031

A tiling property for actions of amenable groups along Tempelman Følner sequences

Jonathan Boretsky·Jenna Zomback
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Abstract

We show that a certain tiling property (which directly implies the pointwise ergodic theorem) holds for pmp actions of amenable groups along increasing Tempelman Følner sequences, thus providing a short and combinatorial proof of the corresponding pointwise ergodic theorem.

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Jonathan Boretsky, Jenna Zomback. 2020-09-04. A tiling property for actions of amenable groups along Tempelman Følner sequences. https://arxiv.org/abs/1904.10031

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