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math.DS2022★ 2 cited
Sequence entropy for amenable group actions
Chunlin Liu, Kesong Yan
We study the sequence entropy for amenable group actions and investigate systematically spectrum and several mixing concepts via sequence entropy both in measure-theoretic dynamica…
math.DS2014
Recurrence properties and disjointness on the induced spaces
Jie Li, Kesong Yan, Xiangdong Ye
A topological dynamical system induces two natural systems, one is on the hyperspace and the other one is on the probability space. The connection among some dynamical properties o…
math.DS2011★ 1 cited
Topological Pressure for sub-additive potentials of amenable group actions
Bingbing Liang, Kesong Yan
We define the topological pressure for any sub-additive potentials of the countable discrete amenable group action and any given open cover. A local variational principle for the t…