Joint Continuity of Lyapunov Exponent for Finitely Smooth Quasi-periodic Schrodinger Cocycles  

作　　者：Jin Hao LIANG Lin Lin FU 

机构地区：[1]Department of Applied Mathematics,Nanjing Forestry University,Nanjing 210037,P.R.China [2]Department of Mathematics,Sun Yat-sen University,Guangzhou 510275,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2021年第7期1131-1142,共12页数学学报（英文版）

摘　　要：We prove the joint continuity of Lyapunov exponent in the energy and the Diophantine frequency for quasi-periodic Schrodinger cocycles with the C^(2)cos-type potentials.In particular,the Lyapunov exponent is log-Holder continuous at each Diophantine frequency.

关 键 词：Schrodinger cocycle Lyapunov exponent C^(2)cos-type potential 

分 类 号：O156.7[理学—数学]