NON-PERTURBATIVE POSITIVITY AND WEAK HOLDER CONTINUITY OF LYAPUNOV EXPONENT OF ANALYTIC QUASI-PERIODIC JACOBI COCYCLES DEFINED ON A HIGH DIMENSION TORUS

被引：0
|
作者：
Tao, Kai [1 ]
机构：
[1] Southeast Univ, Math Dept, Jiulonghu Campus, Nanjing 211189, Jiangsu, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年
基金：
中国博士后科学基金;
关键词：
Analytic quasi-periodic Jacobi cocycles; high dimension torus; non-perturbative; positive Lyapunov exponent; weak Holder continuous; DENSITY-OF-STATES; SCHRODINGER-OPERATORS; LOCALIZATION; SHIFTS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
When analytic quasi-periodic cocycles are defined on a high dimension torus, their Lyapunov exponents have perturbative positivity and continuity. In this article, we study a class of analytic quasi-periodic Jacobi cocycles defined on a two dimension torus. We show that in the non-perturbative large coupling regimes, the Lyapunov exponent is positive for any frequency and weak Holder continuous for the full-measured frequency.
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页数：14
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