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

Date

2019-06-12

Authors

Tao, Kai

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Publisher

Texas State University, Department of Mathematics

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.

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Keywords

Lyapunov exponent, Weak Holder continuity, Jacobi operator, Skew-shift mapping

Citation

Tao, K. (2019). Non-perturbative weak Hölder continuity of Lyapunov exponent of discrete analytic Jacobi operators with skew-shift mapping. <i>Electronic Journal of Differential Equations, 2019</i>(81), pp. 1-17.

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Attribution 4.0 International

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