Some properties of topological pressure of a semigroup of continuous maps

被引:11
|
作者
Ma, Dongkui [1 ]
Liu, Shaohua [1 ]
机构
[1] S China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China
来源
基金
中国国家自然科学基金;
关键词
topological pressure; semigroup of continuous maps; topological entropy; LOCAL VARIATIONAL PRINCIPLE; ENTROPY;
D O I
10.1080/14689367.2013.835387
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Based on the work of Ma and Wu,[9] some equivalent definitions of topological pressure of a semigroup of continuous maps are given and several of their basic properties are provided by using separated sets and spanning sets. We also answer an open problem of Bi and Urbaski.[19] That is, letting f(i), i = 2, ... , k, be homeomorphisms acting on a compact metric space, G(1) = {id(X), f(2), ... , f(k)}, G(1)(- 1) = {id(X), f(2)(- 1), ..., f(k)(- 1)} and letting G and G(-1) denote the semigroups generated by G(1) and G(1)(- 1), respectively, we give an example showing that the topological entropy of G does not equal the topological entropy of G(-1).
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页码:1 / 17
页数:50
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