College of Sciences
Hohai University
1 Xikang Road
Nanjing, Jiangsu 210098, China
email: ktao@hhu.edu.cn
Kai Tao
Abstract:
In this article, we study the continuity of the Lyapunov exponent of
discrete analytic Jacobi operators with the skew-shift mapping.
We prove that the Lyapunov exponent is weak Holder continuous in E
for any Diophantine frequency in the large coupling regimes.
Submitted May 10, 2018. Published June 12, 2019.
Math Subject Classifications: 37C55, 37F10.
Key Words: Lyapunov exponent; weak Holder continuity; Jacobi operator;
skew-shift mapping.
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Kai Tao College of Sciences Hohai University 1 Xikang Road Nanjing, Jiangsu 210098, China email: ktao@hhu.edu.cn |
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