Weak Hölder continuity of Lyapunov exponent for Gevrey quasi-periodic Schrödinger cocycles

被引：0

作者：

Fang, Licheng ^{[1
]}

Wang, Fengpeng ^{[2
]}

机构：

[1] Yantai Univ, Sch Math & Informat Sci, Qingquan Rd 30, Yantai 264005, Peoples R China

[2] Sun Yat Sen Univ, Sch Math Zhuhai, Daxue Rd 2, Zhuhai 519082, Peoples R China

来源：

JOURNAL OF SPECTRAL THEORY | 2024年 / 14卷 / 04期

关键词：

log-H & ouml; lder continuity; Lyapunov exponents; Gevrey potential; quasi-periodic Schr & ouml; dinger cocycles; HOLDER CONTINUITY; SPECTRAL PROPERTIES; OPERATORS; LOCALIZATION;

D O I：

10.4171/JST/527

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the large deviation theorem (LDT) for quasi-periodic dynamically defined Gevrey Schr & ouml;dinger cocycles with weak Liouville frequency. We show that the associated Lyapunov exponent is log-H & ouml;lder continuous, while the frequency satisfies B(w) = 0 .

引用

页码：1647 / 1660

页数：14

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