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
1 Xikang Road
Nanjing, Jiangsu 210098, China
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