Finitary codings of finite expectation between shifts over free groups
Dynamical Systems
2023-05-05 v1 Probability
Abstract
We prove that finitary isomorphisms with finite expectation exist between Bernoulli shifts over the same free group only if the shifts have the same distribution. This generalizes the integer case result of Schmidt. We provide new proofs of some of the technical results of Parry and Schmidt which avoid the assumption of amenability.
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Cite
@article{arxiv.2305.02872,
title = {Finitary codings of finite expectation between shifts over free groups},
author = {James O'Quinn},
journal= {arXiv preprint arXiv:2305.02872},
year = {2023}
}
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15 pages