Spectral properties of discrete schrodinger operator with quasi-periodically recurrent potential

被引：0

作者：

Naito, Koichiro ^{[1
]}

机构：

[1] Kumamoto Univ, Fac Engn, Dept Math, Kumamoto 860, Japan

来源：

Differential Equations and Applications, Vol 4 | 2007年 / 4卷

关键词：

discrete Schrodinger operator; diophantine approximation; quasi-periodic solutions; fractal dimensio;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study discrete Schrodinger operators with sparse barrier type potentials, and investigate a-continuity or a-singularity of the spectral measure by estimating the upper and lower bounds of the Hausdorff dimensions of its spectrum. Furthermore, we introduce quasi- periodically recurrent potentials and we estimate the Hausdorff dimensions of the spectrum, using the constants associated with continued fraction expansion of irrational frequencies.

引用

页码：79 / 91

页数：13

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