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

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.

Bibliographic Details
Main Author: Kai Tao
Format: Article
Language:English
Published: Texas State University 2019-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2019/81/abstr.html