Positivity and continuity of the Lyapounov exponent for shifts on Td with arbitrary frequency vector and real analytic potential

被引:63
作者
Bourgain, J [1 ]
机构
[1] Inst Adv Study, Sch Math, Princeton, NJ 08540 USA
来源
JOURNAL D ANALYSE MATHEMATIQUE | 2005年 / 96卷 / 1期
关键词
D O I
10.1007/BF02787834
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
[No abstract available]
引用
收藏
页码:313 / 355
页数:43
相关论文
共 6 条
[1]  
[Anonymous], 2005, ANN MATH STUD
[2]   Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential [J].
Bourgain, J ;
Jitomirskaya, S .
JOURNAL OF STATISTICAL PHYSICS, 2002, 108 (5-6) :1203-1218
[3]   Anderson localization for Schrodinger operators on Z with potentials given by the skew-shift [J].
Bourgain, J ;
Goldstein, M ;
Schlag, W .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2001, 220 (03) :583-621
[4]   On nonperturbative localization with quasi-periodic potential [J].
Bourgain, J ;
Goldstein, M .
ANNALS OF MATHEMATICS, 2000, 152 (03) :835-879
[5]   Holder continuity of the integrated density of states for quasi-periodic Schrodinger equations and averages of shifts of subharmonic functions [J].
Goldstein, M ;
Schlag, W .
ANNALS OF MATHEMATICS, 2001, 154 (01) :155-203
[6]   POSITIVE LYAPUNOV EXPONENTS FOR SCHRODINGER-OPERATORS WITH QUASI-PERIODIC POTENTIALS [J].
SORETS, E ;
SPENCER, T .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 142 (03) :543-566