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
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
收藏
页码:68 / 89
页数:22
相关论文
共 50 条
  • [21] ON THE LYAPUNOV EXPONENT FOR SOME QUASI-PERIODIC COCYCLES WITH LARGE PARAMETER
    Ding, Bowen
    Liang, Jinhao
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2023, 22 (10) : 3099 - 3119
  • [22] Continuity of the Lyapunov exponent for analytic quasi-periodic cocycles with singularities
    S. Jitomirskaya
    C. A. Marx
    Journal of Fixed Point Theory and Applications, 2011, 10 : 129 - 146
  • [23] Continuity, positivity and simplicity of the Lyapunov exponents for quasi-periodic cocycles
    Duarte, Pedro
    Klein, Silvius
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2019, 21 (07) : 2051 - 2106
  • [24] Classification of Bifurcations of Quasi-Periodic Solutions Using Lyapunov Bundles
    Kamiyama, Kyohei
    Komuro, Motomasa
    Endo, Tetsuro
    Aihara, Kazuyuki
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2014, 24 (12):
  • [25] Analyticity of the Lyapunov exponents of random products of quasi-periodic cocycles
    Bezerra, Jamerson
    Sanchez, Adriana
    Tall, El Hadji Yaya
    NONLINEARITY, 2023, 36 (06) : 3467 - 3482
  • [26] STRONGLY PERTURBED QUASI-PERIODIC DYNAMICAL-SYSTEMS
    SIVARAMAKRISHNAN, A
    JEFFERYS, WH
    CELESTIAL MECHANICS, 1982, 26 (01): : 41 - 49
  • [27] Continuity of the Lyapunov exponent for analytic quasi-periodic cocycles with singularities
    Jitomirskaya, S.
    Marx, C. A.
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2011, 10 (01) : 129 - 146
  • [28] ELECTRON LOCALIZATION IN CRYSTALS WITH QUASI-PERIODIC LATTICE POTENTIALS
    SOKOLOFF, JB
    PHYSICAL REVIEW B, 1980, 22 (12): : 5823 - 5828
  • [29] Optimization of vibration energy localization in quasi-periodic structures
    Hbaieb, Mariem
    Kacem, Najib
    Souf, Mohamed Amine Ben
    Bouhaddi, Noureddine
    Haddar, Mohamed
    INTERNATIONAL CONFERENCE ON STRUCTURAL NONLINEAR DYNAMICS AND DIAGNOSIS (CSNDD 2018), 2018, 241
  • [30] LOCALIZATION OF MODES IN MEDIA WITH A SIMPLE QUASI-PERIODIC MODULATION
    SALAT, A
    PHYSICAL REVIEW A, 1992, 45 (02): : 1116 - 1121