Anderson localization for one-frequency quasi-periodic block Jacobi operators

被引：7

作者：

Klein, Silvius ^{[1
]}

机构：

[1] Pontificia Univ Catolica Rio de Janeiro PUC Rio, Dept Matemat, Rio De Janeiro, Brazil

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2017年 / 273卷 / 03期

关键词：

Anderson localization; Discrete quasi-periodic operators; Schrodinger and Jacobi operators;

D O I：

10.1016/j.jfa.2017.04.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a one-frequency, quasi-periodic, block Jacobi operator, whose blocks are generic matrix-valued analytic functions. We establish Anderson localization for this type of operator under the assumption that the coupling constant is large enough but independent of the frequency. This generalizes a result of J. Bourgain and S. Jitomirskaya on localization for band lattice, quasi-periodic Schrodinger operators. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：1140 / 1164

页数：25

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