20 citations · 30 across the 5 of their papers we have counts for
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Packing topological entropy for amenable group actions
Dou Dou, Dongmei Zheng, Xiaomin Zhou
Packing topological entropy is a dynamical analogy of the packing dimension, which can be viewed as a counterpart of Bowen topological entropy. In the present paper, we will give a…
Variational principles for amenable metric mean dimensions
Ercai Chen, Dou Dou, Dongmei Zheng
In this paper, we prove variational principles between metric mean dimension and rate distortion function for countable discrete amenable group actions which extend recently result…
Topological entropy of sets of generic points for actions of amenable groups
Dongmei Zheng, Ercai Chen
Let be a countable discrete amenable group which acts continuously on a compact metric space and let be an ergodic invariant Borel probability measure on . For a…
On large deviations for amenable group actions
Dongmei Zheng, Ercai Chen, Jiahong Yang
By proving an amenable version of Katok's entropy formula and handling the quasi tiling techniques, we establish large deviations bounds for countable discrete amenable group actio…
Bowen entropy for actions of amenable groups
Dongmei Zheng, Ercai Chen
Bowen introduced a definition of topological entropy of subset inspired by Hausdorff dimension in 1973 \cite{B}. In this paper we consider the Bowen's entropy for amenable group ac…