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:	Positive Lyapunov exponent Jacobi operator subharmonic function
Online Access:	http://ejde.math.txstate.edu/Volumes/2017/39/abstr.html

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spelling	doaj-97aa5ab265dd441eace224b33fcf3e1f2020-11-24T23:33:52ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912017-02-01201739,112Positive Lyapunov exponent of discrete analytic Jacobi operatorKai Tao0 Hohai Univ., Nanjing, Jiangsu, China 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.http://ejde.math.txstate.edu/Volumes/2017/39/abstr.htmlPositive Lyapunov exponentJacobi operatorsubharmonic function
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Kai Tao
spellingShingle	Kai Tao Positive Lyapunov exponent of discrete analytic Jacobi operator Electronic Journal of Differential Equations Positive Lyapunov exponent Jacobi operator subharmonic function
author_facet	Kai Tao
author_sort	Kai Tao
title	Positive Lyapunov exponent of discrete analytic Jacobi operator
title_short	Positive Lyapunov exponent of discrete analytic Jacobi operator
title_full	Positive Lyapunov exponent of discrete analytic Jacobi operator
title_fullStr	Positive Lyapunov exponent of discrete analytic Jacobi operator
title_full_unstemmed	Positive Lyapunov exponent of discrete analytic Jacobi operator
title_sort	positive lyapunov exponent of discrete analytic jacobi operator
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2017-02-01
description	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.
topic	Positive Lyapunov exponent Jacobi operator subharmonic function
url	http://ejde.math.txstate.edu/Volumes/2017/39/abstr.html
work_keys_str_mv	AT kaitao positivelyapunovexponentofdiscreteanalyticjacobioperator
_version_	1725530623829868544

Positive Lyapunov exponent of discrete analytic Jacobi operator

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