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.
Submitted May 25, 2016. Published February 3, 2017.
Math Subject Classifications: 37C55, 37F10.
Key Words: Positive Lyapunov exponent; Jacobi operator; subharmonic function.
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| Kai Tao |
College of Sciences
1 Xikang Road
Nanjing, Jiangsu 210098, China
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