5 citations · 5 across the 6 of their papers we have counts for
6 papers
Some notes on variational principle for metric mean dimension
Rui Yang, Ercai Chen, Xiaoyao Zhou
Firstly, we answer the problem 1 asked by Gutman and piewak in \cite{gs20}, then we establish a double variational principle for mean dimension in terms of R$\bar{…
Mean dimension theory in symbolic dynamics for finitely generated amenable groups
Yunping Wang, Ercai Chen, Xiaoyao Zhou
In this paper, we mainly elucidate a close relationship between the topological entropy and mean dimension theory for actions of polynomial growth groups. We show that metric mean…
Shadowing and mixing on systems of countable group actions
Zijie Lin, Ercai Chen, Xiaoyao Zhou
Let be a dynamical system, where is compact Hausdorff space, and is a countable discrete group. We investigate shadowing property and mixing between subshifts and…
Entropy and Emergence of Topological Dynamical Systems
Yong Ji, Ercai Chen, Xiaoyao Zhou
A topological dynamical system induces two natural systems, one is on the probability measure spaces and other one is on the hyperspace. We introduce a concept for these tw…
Generic Points in Some Nonuniformly Hyperbolic Systems Via Pesin Theory
Zheng Yin, Ercai Chen, Xiaoyao Zhou
This article is devoted to the investigation of the topological pressure of generic points for nonuniformly hyperbolic systems via Pesin theory. In particular, our result can be ap…
The variational principle of topological pressure for actions of sofic groupoids
Xiaoyao Zhou, Ercai Chen
This article establishes the variational principle of topological pressure for actions of sofic groupoids.