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 exp...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.展开更多
基金partially supported by NNSF of China(11725105,12090012)。
文摘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.
