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

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.