A tiling property for actions of amenable groups along Tempelman F{\o}lner sequences
Dynamical Systems
2020-09-08 v4 Logic
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 F{\o}lner sequences, thus providing a short and combinatorial proof of the corresponding pointwise ergodic theorem.
Keywords
Cite
@article{arxiv.1904.10031,
title = {A tiling property for actions of amenable groups along Tempelman F{\o}lner sequences},
author = {Jonathan Boretsky and Jenna Zomback},
journal= {arXiv preprint arXiv:1904.10031},
year = {2020}
}
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7 pages