Lyapunov behavior and dynamical localization for quasi-periodic CMV matrices

被引：1
|
作者：
Guo, Shuzheng [1 ]
Piao, Daxiong [1 ]
机构：
[1] Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2020年 / 606卷
关键词：
CMV matrix; Anderson localization; Lyapunov behavior; Dynamical localization; Quasi-periodic coefficient; ORTHOGONAL POLYNOMIALS; HOLDER CONTINUITY; EXPONENTS; OPERATORS; POSITIVITY; ZEROS;
D O I：
10.1016/j.laa.2020.07.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we prove Lyapunov behavior and dynamical localization for analytic quasi-periodic CMV matrices in the regime of positive Lyapunov exponents. The localization results of Wang and Damanik [28] are extended. (C) 2020 Elsevier Inc. All rights reserved.
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页码：68 / 89
页数：22
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