映射半群的拓扑压的一个刻画

doi:10.3969/j.issn.1007-7162.2013.02.019

广东工业大学学报 ›› 2013, Vol. 30 ›› Issue (2): 99-103.doi: 10.3969/j.issn.1007-7162.2013.02.019

映射半群的拓扑压的一个刻画

范暖妮,马东魁

华南理工大学数学系，广东广州 510640

收稿日期:2012-09-12 出版日期:2013-06-27 发布日期:2013-06-27
作者简介:范暖妮 (1987-)，女，硕士研究生，主要研究方向为分形几何与拓扑动力系统.

Description of the Definition of Topological Pressure of a Semi-group of Maps

Fan Nuan-ni, Ma Dong-kui

Department of Mathematics, South China University of Technology, Guangzhou 510640, China

Received:2012-09-12 Online:2013-06-27 Published:2013-06-27

摘要/Abstract

摘要： 利用Carathéodory-Pesin 结构(C-P结构)框架, 对紧致度量空间的任意子集, 给出了映射半群的拓扑压, 下、上容度拓扑压的Bowen-球刻画.

关键词: 映射半群;C-P 结构;拓扑压

Abstract: By using the Carathéodory-Pesin structure (CP structure) and Bowenball, with respect to arbitrary subset of compact metric space, it gives a description of the topological pressure and the lower and upper capacity topological pressure of a semigroup of maps.

Key words: semi-group of continuous maps; C-P structure; topological pressure

范暖妮, 马东魁. 映射半群的拓扑压的一个刻画[J]. 广东工业大学学报, 2013, 30(2): 99-103.

FAN Nuan-Ni, MA Dong-Kui. Description of the Definition of Topological Pressure of a Semi-group of Maps[J]. Journal of Guangdong University of Technology, 2013, 30(2): 99-103.

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