Electronic Journal of Differential Equations,
Vol. 2019 (2019), No. 81, pp. 1-17.

Title: Non-perturbative weak Holder continuity of Lyapunov exponent of discrete
       analytic Jacobi operators with skew-shift mapping

Author: Kai Tao (Hohai Univ., Nanjing, Jiangsu, China)

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.