New proof of continuity of Lyapunov exponents for a class of smooth Schrödinger cocycles with weak Liouville frequencies  

作　　者：Linlin FU Jiahao XU Fan WU 

机构地区：[1]Department of Mathematics,Sun Yat-sen University,Guangzhou 510275,China [2]Chern Institute of Mathematics and LPMC,Nankai University,Tianjin 300017,China [3]Department of Mathematics,Nanjing University,Nanjing 210093,China

出　　处：《Frontiers of Mathematics in China》2020年第3期467-489,共23页中国高等学校学术文摘·数学（英文）

基　　金：This work was supported by the National Natural Science Foundation of China(Grant No.11771205).

摘　　要：We reconsider the continuity of the Lyapunov exponents for a class of smooth Schrödinger cocycles with a C2 cos-type potential and a weak Liouville frequency.We propose a new method to prove that the Lyapunov exponent is continuous in energies.In particular,a large deviation theorem is not needed in the proof.

关 键 词：Schrodinger cocycle Lyapunov exponent(LE) weak Liouville frequency C2 cos-type potential large deviation theorem(LDT) 

分 类 号：O15[理学—数学]