Non-perturbative weak Hölder continuity of Lyapunov exponent of discrete analytic Jacobi operators with skew-shift mapping
Files
Date
2019-06-12
Authors
Tao, Kai
Journal Title
Journal ISSN
Volume Title
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.
Description
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. Electronic Journal of Differential Equations, 2019(81), pp. 1-17.
Rights
Attribution 4.0 International