ON THE SPECTRAL HAUSDORFF DIMENSION OF 1D DISCRETE SCHRODINGER OPERATORS UNDER POWER DECAYING PERTURBATIONS

被引：0
|
作者：
Bazao, V. R. [1 ]
Carvalho, S. L. [2 ]
de Oliveira, C. R. [1 ]
机构：
[1] Univ Fed Sao Carlos, Dept Matemat, BR-13560970 Sao Carlos, SP, Brazil
[2] Univ Fed Minas Gerais, Dept Matemat, BR-30161970 Belo Horizonte, MG, Brazil
来源：
OSAKA JOURNAL OF MATHEMATICS | 2017年 / 54卷 / 02期
关键词：
SINGULAR CONTINUOUS-SPECTRUM; RANK-ONE PERTURBATIONS; QUASI-CRYSTALS; ALPHA-CONTINUITY; LAW SUBORDINACY; LINE OPERATORS; LOCALIZATION;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that spectral Hausdorff dimensional properties of discrete Schr "odinger operators with (1) Sturmian potentials of bounded density and (2) a class of sparse potentials are preserved under suitable polynomial decaying perturbations, when the spectrum of these perturbed operators have some singular continuous component.
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页码：273 / 285
页数：13
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