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2018 A note on dimensional entropy for amenable group actions
Dou Dou, Ruifeng Zhang
Topol. Methods Nonlinear Anal. 51(2): 599-608 (2018). DOI: 10.12775/TMNA.2017.056

Abstract

In this short note, for countably infinite amenable group actions, we provide topological proofs for the following results: Bowen topological entropy (dimensional entropy) of the whole space equals the usual topological entropy along tempered Følner sequences; the Hausdorff dimension of an amenable subshift (for certain metric associated to some Følner sequence) equals its topological entropy. This answers questions by Zheng and Chen [10] and Simpson [9].

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Dou Dou. Ruifeng Zhang. "A note on dimensional entropy for amenable group actions." Topol. Methods Nonlinear Anal. 51 (2) 599 - 608, 2018. https://doi.org/10.12775/TMNA.2017.056

Information

Published: 2018
First available in Project Euclid: 24 April 2018

zbMATH: 06928850
MathSciNet: MR3829046
Digital Object Identifier: 10.12775/TMNA.2017.056

Rights: Copyright © 2018 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.51 • No. 2 • 2018
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