ON LYAPUNOV EXPONENTS OF CONTINUOUS SCHRODINGER COCYCLES OVER IRRATIONAL ROTATIONS

被引：6

作者：

Huang, Wen ^{[1
]}

Yi, Yingfei ^{[2
,3
]}

机构：

[1] Univ Sci & Technol China, Chinese Acad Sci, Wu Wen Tsun Key Lab Math, Hefei 230026, Anhui, Peoples R China

[2] Jilin Univ, Sch Math, Changchun 130012, Peoples R China

[3] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2012年 / 140卷 / 06期

基金：

美国国家科学基金会;

关键词：

Lyapunov exponent; Schrodinger cocycles; non-uniform hyperbolicity; OPERATORS; ZERO; POTENTIALS; DICHOTOMY; EQUATIONS; SPECTRUM; THEOREM;

D O I：

10.1090/S0002-9939-2011-11042-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider continuous, SL(2, R)-valued, Schrodinger cocycles over irrational rotations. We prove two generic results on the Lyapunov exponents which improve the corresponding ones contained in a paper by Bjerklov, Damanik and Johnson.

引用

页码：1957 / 1962

页数：6

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