Livšic Theorem for Matrix Cocycles Over An Axiom A Flow

作     者：Zeng Lian Jianhua Zhang 

作者机构：College of Mathematical SciencesSichuan UniversityChengduSichuan 610016People’s Republic of China 

出 版 物：《Communications in Mathematics and Statistics》 (数学与统计通讯（英文）)

年 卷 期：2022年第10卷第4期

页      面：681-704页

核心收录：

学科分类：07[理学] 0701[理学-数学] 

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

主　　题：Matrix cocycles Axiom A flow Lyapunov exponents 

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.