19 citations · 53 across the 7 of their papers we have counts for
6 papers · 1 filter
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…
Entropy dimension for Deterministic Walks in Random Sceneries
Dou Dou, Kyewon Koh Park
Entropy dimension is an entropy-type quantity which takes values in and classifies different levels of intermediate growth rate of complexity for dynamical systems. In this…
A note on dimensional entropy for amenable group actions
Dou Dou, Ruifeng Zhang
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 w…
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…
Minimal subshifts of arbitrary mean topological dimension
Dou Dou
Let be a countable infinite amenable group and be a polyhedron. We give a construction of minimal subshifts of with arbitrarily mean topological dimension less than $…
Entropy dimension of measure preserving systems
Dou Dou, Wen Huang, Kyewon Koh Park
The notion of metric entropy dimension is introduced to measure the complexity of entropy zero dynamical systems. For measure preserving systems, we define entropy dimension via th…