POSITIVE LYAPUNOV EXPONENT FOR A CLASS OF QUASI-PERIODIC COCYCLES

被引：0

作者：

Liang, Jinhao ^{[1
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 211189, Jiangsu, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2020年 / 40卷 / 03期

关键词：

Quasi-periodic cocycle; Schrodinger cocycle; Lyapunov exponent; SCHRODINGER-OPERATORS; ANDERSON LOCALIZATION;

D O I：

10.3934/dcds.2020080

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Young [17] proved the positivity of Lyapunov exponent in a large set of the energies for some quasi-periodic cocycles. Her result is also proved to be applicable for some quasi-periodic Schrodinger cocycles by Zhang [18]. However, her result cannot be applied to the Schrodinger cocycles with the potential nu = cos(4 pi x) w(x), where w is an element of C-2 (R/Z, R) is a small perturbation. In this paper, we will improve her result such that it can be applied to more cocycles.

引用

页码：1361 / 1387

页数：27

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