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math.DS2026
Dimensional entropy of amenable group actions over stable sets and fibres
Xinyao He, Guohua Zhang
This paper is devoted to the study of Bowen's dimensional entropy on subsets for actions of amenable groups. We prove three main results. (1) First, topological conditional entropy…
math.DS2026
Metric mean dimension of amenable group actions: localization and non-uniformity
Xinyao He, Guohua Zhang, Ruifeng Zhang
In this paper, we extend Tsukamoto's recent localization formula for metric mean dimension to actions of countable discrete amenable groups, which previously applied only to $\math…