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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
论文数:
0
引用数:
0
h-index:
0
机构:
Inst Adv Study, Sch Math, Princeton, NJ 08540 USA
Inst Adv Study, Sch Math, Princeton, NJ 08540 USA
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
论文数:
0
引用数:
0
h-index:
0
机构:
Inst Adv Study, Princeton, NJ 08540 USA
Bourgain, J
;
Jitomirskaya, S
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Inst Adv Study, Princeton, NJ 08540 USA
Jitomirskaya, S
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:1203
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[3]
Anderson localization for Schrodinger operators on Z with potentials given by the skew-shift
[J].
Bourgain, J
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0
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0
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机构:
Inst Adv Study, Princeton, NJ 08540 USA
Bourgain, J
;
Goldstein, M
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Inst Adv Study, Princeton, NJ 08540 USA
Goldstein, M
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Schlag, W
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Inst Adv Study, Princeton, NJ 08540 USA
Schlag, W
.
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
2001,
220
(03)
:583
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[4]
On nonperturbative localization with quasi-periodic potential
[J].
Bourgain, J
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Inst Adv Study, Princeton, NJ 08540 USA
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Goldstein, M
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ANNALS OF MATHEMATICS,
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152
(03)
:835
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Holder continuity of the integrated density of states for quasi-periodic Schrodinger equations and averages of shifts of subharmonic functions
[J].
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Inst Adv Study, Princeton, NJ 08540 USA
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Inst Adv Study, Princeton, NJ 08540 USA
Schlag, W
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ANNALS OF MATHEMATICS,
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[6]
POSITIVE LYAPUNOV EXPONENTS FOR SCHRODINGER-OPERATORS WITH QUASI-PERIODIC POTENTIALS
[J].
SORETS, E
论文数:
0
引用数:
0
h-index:
0
机构:
Institute for Advanced Study, Princeton, 08540, NJ
SORETS, E
;
SPENCER, T
论文数:
0
引用数:
0
h-index:
0
机构:
Institute for Advanced Study, Princeton, 08540, NJ
SPENCER, T
.
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
1991,
142
(03)
:543
-566
←
1
→
共 6 条
[1]
[Anonymous], 2005, ANN MATH STUD
[2]
Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential
[J].
Bourgain, J
论文数:
0
引用数:
0
h-index:
0
机构:
Inst Adv Study, Princeton, NJ 08540 USA
Bourgain, J
;
Jitomirskaya, S
论文数:
0
引用数:
0
h-index:
0
机构:
Inst Adv Study, Princeton, NJ 08540 USA
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
论文数:
0
引用数:
0
h-index:
0
机构:
Inst Adv Study, Princeton, NJ 08540 USA
Bourgain, J
;
Goldstein, M
论文数:
0
引用数:
0
h-index:
0
机构:
Inst Adv Study, Princeton, NJ 08540 USA
Goldstein, M
;
Schlag, W
论文数:
0
引用数:
0
h-index:
0
机构:
Inst Adv Study, Princeton, NJ 08540 USA
Schlag, W
.
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
2001,
220
(03)
:583
-621
[4]
On nonperturbative localization with quasi-periodic potential
[J].
Bourgain, J
论文数:
0
引用数:
0
h-index:
0
机构:
Inst Adv Study, Princeton, NJ 08540 USA
Bourgain, J
;
Goldstein, M
论文数:
0
引用数:
0
h-index:
0
机构:
Inst Adv Study, Princeton, NJ 08540 USA
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
论文数:
0
引用数:
0
h-index:
0
机构:
Inst Adv Study, Princeton, NJ 08540 USA
Goldstein, M
;
Schlag, W
论文数:
0
引用数:
0
h-index:
0
机构:
Inst Adv Study, Princeton, NJ 08540 USA
Schlag, W
.
ANNALS OF MATHEMATICS,
2001,
154
(01)
:155
-203
[6]
POSITIVE LYAPUNOV EXPONENTS FOR SCHRODINGER-OPERATORS WITH QUASI-PERIODIC POTENTIALS
[J].
SORETS, E
论文数:
0
引用数:
0
h-index:
0
机构:
Institute for Advanced Study, Princeton, 08540, NJ
SORETS, E
;
SPENCER, T
论文数:
0
引用数:
0
h-index:
0
机构:
Institute for Advanced Study, Princeton, 08540, NJ
SPENCER, T
.
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
1991,
142
(03)
:543
-566
←
1
→