19 citations · 26 across the 3 of their papers we have counts for
3 papers
math.DS2023
Mean topological dimension of induced amenable group actions
Ruxi Shi, Guohua Zhang
In this paper we generalize [BS22, Main Theorem] from actions of a single transformation to amenable group actions, which answers affirmatively the question raised in [BS22] by Bur…
math.DS2016★ 19 cited
Möbius disjointness for topological models of ergodic systems with discrete spectrum
Wen Huang, Zhiren Wang, Guohua Zhang
We provide a criterion for a point satisfying the required disjointness condition in Sarnak's Möbius Disjointness Conjecture. As a direct application, we have that the conjecture h…
math.DS2010★ 7 cited
Local entropy theory for a countable discrete amenable group action
Wen Huang, Xiangdong Ye, Guohua Zhang
In the paper we throw the first light on studying systematically the local entropy theory for a countable discrete amenable group action. For such an action, we introduce entropy t…