ON LOCALIZATION AND HOMOGENEITY FOR ANALYTIC QUASI-PERIODIC SCHRO<spacing diaeresis>DINGER <spacing diaeresis> DINGER OPERATORS WITH GEVREY PERTURBATION

被引：0

作者：

Tao, Kai ^{[1
]}

机构：

[1] Hohai Univ, Coll Sci, 1 Xikang Rd, Nanjing 210098, Jiangsu, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2024年 / 23卷 / 09期

关键词：

Quasi-periodic Schro<spacing diaeresis>dinger operator; gevrey perturbation; Diophan- tine frequency; Anderson localization; homogeneous spectrum; DENSITY-OF-STATES; ANDERSON LOCALIZATION; SCHRODINGER-OPERATORS; HOLDER CONTINUITY; SPECTRUM;

D O I：

10.3934/cpaa.2024054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It was shown in [4, 9] that the non-perturbative Anderson localization and homogeneous spectrum hold for the quasi-periodic analytic Schro<spacing diaeresis>dinger operator in the positive Lyapunov exponent regime. In this paper, we prove that they are both stable under the Gevrey perturbation on the potential with the Diophantine frequency.

引用

页码：1216 / 1239

页数：24