Topological r-Pressure and Topological Pressure of Free Semigroup Actions

郑伊楠; 肖 倩

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Topological r-Pressure and Topological Pressure of Free Semigroup Actions

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In this paper, we introduce the definition of topological r-pressure of free semigroup actions on compact metric space and provide some properties of it. Through skew-product transformation into a medium, we can obtain the following two main results. 1) We extend the result that the top-ological pressure is the limit of topological r-pressure to free semigroup actions (r→0). 2) Let f i ,i=0,1,…,m-1, be homeomorphisms on a compact metric space. For any continuous function, we verify that the topological pressure of f 0 ,…,f m-1 equals the topological pressure of f 0 -1 ,…,f m-1 -1 .

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《Pure Mathematics》 |2021年第2期|222-236|共15页
作者
郑伊楠; 肖倩;
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作者单位

华南理工大学数学学院;

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原文格式 PDF
正文语种汉语
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关键词
r; Topologicalr-Pressure; TopologicalPressure; Skew-ProductTransformations; FreeSemigroupActions;

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Topological r-Pressure and Topological Pressure of Free Semigroup Actions

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