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math.DS2021
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…
math.DS2021
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…