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
收藏
页码：1957 / 1962
页数：6
相关论文
共 43 条
12345