Cantor spectrum for CMV and Jacobi matrices with coefficients arising from generalized skew-shifts

被引：1

作者：

Jun, Hyunkyu ^{[1
]}

机构：

[1] Rice Univ, Dept Math, Houston, TX 77005 USA

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2022年 / 42卷 / 06期

关键词：

CMV matrices; Jacobi matrices; spectra; cocycle; uniform hyperbolicity; SCHRODINGER-OPERATORS;

D O I：

10.1017/etds.2021.30

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider continuous cocycles arising from CMV and Jacobi matrices. Assuming that the Verblunsky and Jacobi coefficients arise from generalized skew-shifts, we prove that uniform hyperbolicity of the associated cocycles is C-0-dense. This implies that the associated CMV and Jacobi matrices have a Cantor spectrum for a generic continuous sampling map.

引用

页码：2009 / 2027

页数：19

共 37 条

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