Chaotic Expansive Homeomorphisms on Closed Orientable Surfaces of Positive Genus  

作　　者：Jiehua Mai Song Shao 

机构地区：[1]Institute of Mathematics,Shantou University,Shantou 515063,Guangdong,People’s Republic of China [2]Wu Wen-Tsun Key Laboratory of Mathematics,USTC,Chinese Academy of Sciences and Department of Mathematics,University of Science andTechnology of China,Hefei 230026,Anhui,People’s Republic of China

出　　处：《Communications in Mathematics and Statistics》2015年第3期291-314,共24页数学与统计通讯（英文）

基　　金：The first author is supported by the Special Foundation of National Prior Basis Research of China(Grant No.G1999075108);the second author is supported by National Natural Science Foundation of China(11171320 and 11431012).

摘　　要：In this paper we give a new and elementary proof to the following fact:each closed orientable surface of positive genus admits a both chaotic and expansive homeomorphism.Further more,we show that the homeomorphisms given are also weakly mixing.

关 键 词：Expansive homeomorphism Chaotic homeomorphism Closed orientable surface 

分 类 号：O18[理学—数学]