Positive Lyapunov exponent of discrete analytic Jacobi operator

In this article, we study the Lyapunov exponent of discrete analytic Jacobi operator with a family of some mappings on the torus. By applying the theory of subharmonic functions, we prove that the Lyapunov exponent is positive, if the coupling number is large.

Bibliographic Details
Main Author: Kai Tao
Format: Article
Language:English
Published: Texas State University 2017-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/39/abstr.html