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	Local Entropy, Metric Entropy and Topological Entropy for Countable Discrete Amenable Group Actions
	Ren, Xiankun ; Sun, Wenxiang
	2016
关键词	Amenable group action entropy upper semi-continuity asymptotic entropy expansiveness MAPS
英文摘要	Let X be a compact metric space and G a countable infinite discrete amenable group acting on X. Like in the Z-action cases we define the notion of local entropy and by it we bound the difference between metric entropy and that of a partition, and bound the difference between topological entropy and that of a separated set, which generalize Theorems 1(1) and 1(2) in [Newhouse, 1989] from Z-actions to amenable group actions. We further prove that the entropy function h(mu)(G) is upper semi-continuous on M(X, G) for an asymptotic entropy expansive amenable group action.; SCI(E); EI; ARTICLE; renxiankun@pku.edu.cn; sunwx@math.pku.edu.cn; 7; 26
语种	英语
出处	EI ; SCI
出版者	INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/492102]
专题	数学科学学院
推荐引用方式 GB/T 7714	Ren, Xiankun,Sun, Wenxiang. Local Entropy, Metric Entropy and Topological Entropy for Countable Discrete Amenable Group Actions. 2016-01-01.

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