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arXiv · 2305.02872

Finitary codings of finite expectation between shifts over free groups

James O'Quinn
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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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James O'Quinn. 2023-05-04. Finitary codings of finite expectation between shifts over free groups. https://arxiv.org/abs/2305.02872

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