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.

引用

页码：68 / 89

页数：22

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