可扩流的拓扑压及其局部横截  

The relationship between topological pressure and local cross sections of expansive flows

作　　者：张建业[1] 张刚[1] 何连法[1] 

机构地区：[1]河北师范大学数学与信息科学学院,河北石家庄050016

出　　处：《纯粹数学与应用数学》2007年第4期446-452,共7页Pure and Applied Mathematics

基　　金：国家自然科学基金资助项目(19731003)

摘　　要：研究了紧致度量空间上可扩流的拓扑压与其局部横截的联系.我们证明了以下结论:1.一致可扩流的拓扑压可以在其整体的局部横截上确定;2.可扩流及其在局部横截上所诱导的符号扭扩流具有相同的拓扑压.We attempt to study the relationship between the topological pressure and the local cross sections of an expansive flow on a compact metric space. The following results are revealled in the paper： 1. The topological pressure of a uniformly expansive flow can be defined globally on local cross sections; 2. An expansive flow and its corresponding symbolic suspension flow have the same topological pressure.

关 键 词：可扩流 拓扑压 局部横截 符号扭扩流 

分 类 号：O193[理学—数学]