Livšic Theorem for Matrix Cocycles Over An Axiom A Flow  

作　　者：Zeng Lian Jianhua Zhang 

机构地区：[1]College of Mathematical Sciences,Sichuan University,Chengdu,Sichuan 610016,People’s Republic of China

出　　处：《Communications in Mathematics and Statistics》2022年第4期681-704,共24页数学与统计通讯（英文）

基　　金：partially supported by NNSF of China(11725105,12090012)。

摘　　要：In this paper,we prove a version of Livšic theorem for a class of matrix cocycles over a C^(2)Axiom A flow.As a by-product,an approximative theorem on Lyapunov exponents is also obtained which assets that Lyapunov exponents of a given ergodic measure can be approximated by those of periodic measures.

关 键 词：Matrix cocycles Axiom A flow Lyapunov exponents 

分 类 号：O17[理学—数学]