斜移 CMV 矩阵的李雅普诺夫行为和动态局域化

数学物理学报 ›› 2025, Vol. 45 ›› Issue (2): 334-346.

斜移 CMV 矩阵的李雅普诺夫行为和动态局域化

林艳雪()

烟台大学数学与信息科学学院山东烟台 264000;中国海洋大学数学科学学院山东青岛 266100

收稿日期:2024-01-05 修回日期:2024-09-16 出版日期:2025-04-26 发布日期:2025-04-09
作者简介:林艳雪,E-mail:yxlmath@sohu.com
基金资助:
国家自然科学基金(11571327);国家自然科学基金(11971059)

Dynamical Localization for the CMV Matrices with Verblunsky Coeffcients Defined by the Skew-Shift

Lin Yanxue()

Scool of Mathematics and Information Sciences, Yantai University, Shandong Yantai 264000; Scool of Mathematical Sciences, Ocean University of China, Shandong Qingdao 266100

Received:2024-01-05 Revised:2024-09-16 Online:2025-04-26 Published:2025-04-09
Supported by:
NSFC(11571327);NSFC(11971059)

摘要/Abstract

摘要：

该文主要证明对几乎所有频率, 当李雅普诺夫指数为正时, 斜移定义的 Verblunsky 系数生成的 CMV 矩阵的李雅普诺夫行为和动态局域化.

关键词: 斜移 CMV 矩阵, 李雅普诺夫行为, 动态局域化

Abstract:

In this paper, we prove the Lyapunov behavior and dynamical localization for the quasi-periodic CMV matrices with most frequencies and Verblunsky coefficients defined by the skew-shift, in the regime of positive Lyapunov exponents.

Key words: CMV Matrices, Lyapunov behavior, dynamical localization

中图分类号:

O193

林艳雪. 斜移 CMV 矩阵的李雅普诺夫行为和动态局域化[J]. 数学物理学报, 2025, 45(2): 334-346.

Lin Yanxue. Dynamical Localization for the CMV Matrices with Verblunsky Coeffcients Defined by the Skew-Shift[J]. Acta mathematica scientia,Series A, 2025, 45(2): 334-346.

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