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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