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.

引用

页码：273 / 285

页数：13

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