On nonperturbative localization with quasi-periodic potential

被引：181
作者：
Bourgain, J
Goldstein, M
机构：
[1] Inst Adv Study, Princeton, NJ 08540 USA
[2] Univ Toronto, Toronto, ON, Canada
来源：
ANNALS OF MATHEMATICS | 2000年 / 152卷 / 03期
关键词：
D O I：
10.2307/2661356
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
[No abstract available]
引用
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页码：835 / 879
页数：45
相关论文
共 8 条
[1]  
Bourgain J., 1989, London Math. Soc. Lecture Note Ser., V137, P111
[2]  
BOURGAIN J, 2000, ANDERSON LOCALIZATIO
[3]   ANDERSON LOCALIZATION FOR THE 1-D DISCRETE SCHRODINGER OPERATOR WITH 2-FREQUENCY POTENTIAL [J].
CHULAEVSKY, VA ;
SINAI, YG .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 125 (01) :91-112
[4]  
GOLDSTEIN M, IN PRESS ANN MATH
[5]   A METHOD FOR REDUCING LYAPOUNOV EXPONENTS AND SOME EXAMPLES SHOWING THE LOCAL CHARACTER OF A THEOREM BY ARNOLD AND MOSER ON THE TWO-DIMENSIONAL CORE [J].
HERMAN, MR .
COMMENTARII MATHEMATICI HELVETICI, 1983, 58 (03) :453-502
[6]   Metal-insulator transition for the almost Mathieu operator [J].
Jitomirskaya, SY .
ANNALS OF MATHEMATICS, 1999, 150 (03) :1159-1175
[7]  
Milnor J., 1964, P AM MATH SOC, V15, P275, DOI DOI 10.1090/S0002-9939-1964-0161339-9
[8]   POSITIVE LYAPUNOV EXPONENTS FOR SCHRODINGER-OPERATORS WITH QUASI-PERIODIC POTENTIALS [J].
SORETS, E ;
SPENCER, T .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 142 (03) :543-566
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