1 citations · 1 across the 5 of their papers we have counts for
5 papers
Variational principles of metric mean dimension for random dynamical systems
Yunping Wang, Ercai Chen, Kexiang Yang
It is well-known that the relativized variational principle established by Bogenschutz and Kifer connects the fiber topological entropy and fiber measure-theoretic entropy. In cont…
Weighted Mean Topological Dimension
Yunping Wang
This paper is devoted to the investigation of the weighted mean topological dimension in dynamical systems. We show that the weighted mean dimension is not larger than the weighted…
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…
Double variational principle for mean dimensions with sub-additive potentials
Yunping Wang, Ercai Chen
In this paper, we introduce mean dimension quantities with sub-additive potentials. We define mean dimension with sub-additive potentials and mean metric dimension with sub-additiv…
Bowen entropy of generic point for fixed-point free flows
Yunping Wang, Ercai Chen, Ting Wu +1
Let be a compact metric flow without fixed points. We will be concerned with the entropy of flows which takes into consideration all possible reparametrizations of the flo…