Special Flow, Weak Mixing and Complexity Dedicated to celebrate the Sixtieth anniversary of USTC  

作　　者：Wen Huang Leiye Xu 

机构地区：[1]Wu Wen-Tsun Key Laboratory of Mathematics,USTC,Chinese Academy of Sciences and Department of Mathematics,University of Science and Technology of China,Hefei 230026,Anhui,China

出　　处：《Communications in Mathematics and Statistics》2019年第1期85-122,共38页数学与统计通讯（英文）

基　　金：supported by NNSF of China(11431012,11731003);supported by NNSF of China(11801538,11871188).

摘　　要：We focus on the complexity of a special flow built over an irrational rotation of the unit circle and under a roof function on the unit circle.We construct a weak mixing minimal special flow with bounded topological complexity.We also prove that if the roof function is C^(∞),then the special flow has sub-polynomial topological complexity and the time one map meets the condition of Sarnak’s conjecture.

关 键 词：Special flow Weak mixing Sub-polynomial complexity Bounded complexity 

分 类 号：G63[文化科学—教育学]