离散群作用下的一维拓扑动力系统(英文)  

One-dimensional Topological Dynamical Systems of Discrete Group Actions

作　　者：史恩慧[1] 

机构地区：[1]苏州大学数学科学学院,苏州江苏215006

出　　处：《数学进展》2010年第2期129-143,共15页Advances in Mathematics（China）

基　　金：Supported by the National Natural Science Foundation of China(No.10801103);by the Natural Sciences Fund for Colleges and Universities in Jiangsu Province(No.08KJB110010)

摘　　要：本文简述了离散群作用下一维拓扑动力系统研究的最新成果,其内容包括可扩性、乒乓戏与几何熵;不变集与不变测度;拓扑k-传递性;敏感性与Devaney混沌;有界Euler类与共轭分类.同时一些开问题被提出.In this survey it is given a brief account of recent research achievements in the study of 1-dimensional topological dynamical systems of discrete group actions.The content contains：expansiveness,ping pong game and geometric entropy;invariant sets and invariant measures;topological k-transitivity;sensitivity and Devaney＇s chaos;bounded Euler classes and classifications.Some open questions are reported.

关 键 词：拓扑动力系统 离散群 连续统 1-维流形 共轭分类 

分 类 号：O189.1[理学—数学]