Upper capacity entropy and packing entropy of saturated sets for amenable group actions
arxiv(2021)
摘要
Let $(X,G)$ be a $G$-action topological system, where $G$ is a countable infinite discrete amenable group and $X$ a compact metric space. In this paper we study the upper capacity entropy and packing entropy for systems with weaker version of specification. We prove that the upper capacity always carries full entropy while there is a variational principle for packing entropy of saturated sets.
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关键词
amenable group actions,upper capacity entropy
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