Joint Continuity of Lyapunov Exponent for Finitely Smooth Quasi-periodic Schr(o)dinger Cocycles

• 作者: Jin Hao LIANG Lin Lin FU
• 来源期刊: 数学学报（英文版）
• 年，卷（期）: 2021,（7）
• 页码范围: 1131-1142
• 页数: 12页
• 语种: 英文

摘要

We prove the joint continuity of Lyapunov exponent in the energy and the Diophantine frequency for quasi-periodic Schr(o)dinger cocycles with the C2 cos-type potentials.In particular,the Lyapunov exponent is log-H(o)lder continuous at each Diophantine frequency.