| 连续自映射拓扑压的两个注记 |
| |
| 引用本文： | 郑宏文,朱玉峻. 连续自映射拓扑压的两个注记[J]. 数学物理学报(A辑), 2006, 26(3): 403-409 |
| |
| 作者姓名： | 郑宏文 朱玉峻 |
| |
| 作者单位： | 华北电力大学数理系，河北师范大学数学与信息科学学院 北京 102206，石家庄 050016 |
| |
| 基金项目： | 国家自然科学基金(10371030)国家自然科学数学天元基金(10426012)河北师范大学青年基金 资助 |
| |
| 摘 要： | 令T:X→ X是紧度量空间(X,d)上的连续映射.该文给出了T的拓扑压和T在非游荡集上的限制的拓扑压相等的不依赖于变分原理的一个直接证明.同时,还讨论了半共轭的两个系统的拓扑压之间的关系,证明了拓扑压在一致有限对一条件下是半共轭不变量.
|
| 关 键 词： | 非游荡集 拓扑压 拓扑半共轭 |
| 文章编号： | 1003-3998(2006)03-403-07 |
| 收稿时间： | 2004-08-06 |
| 修稿时间： | 2005-05-12 |
Two Notes on the Topological Pressure of the Continuous Self-mappings |
| |
| Zheng Hongwen,Zhu Yujun. Two Notes on the Topological Pressure of the Continuous Self-mappings[J]. Acta Mathematica Scientia, 2006, 26(3): 403-409 |
| |
| Authors: | Zheng Hongwen Zhu Yujun |
| |
| Affiliation: | 1School of Mathematics and Physics, North China Electric Power University, Beijing 102206; 2 College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016 |
| |
| Abstract: | Let T:X→X be a continuous mapping on a compact metric space (X,d). In this paper, the authors give a direct proof of the equality of the pressure of T and that of T restricted to its non-wandering set, P(T,f)=(T|_Omega,f|_Omega),fin C(X,R,without applying the variational principle. The authors also discuss the relation of the pressures of two systems which are semiconjugate, and show that the pressure is invariant under the uniformly finite-to-one semi-conjugacy. |
| |
| Keywords: | Topological entropy Topological pressure Topological semi-conjugacy. |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学物理学报(A辑)》浏览原始摘要信息 |
|
点击此处可从《数学物理学报(A辑)》下载免费的PDF全文 |
