-
1
-
-
0032272850
-
Quasi-periodic solutions of Hamiltonian perturbations of 2D-linear Schrödinger equations
-
[B1] J. Bourgain. Quasi-periodic solutions of Hamiltonian perturbations of 2D-linear Schrödinger equations, Annals of Math. 148 (1998), 363-349.
-
(1998)
Annals of Math.
, vol.148
, pp. 363-1349
-
-
Bourgain, J.1
-
2
-
-
34249756262
-
Construction of periodic solutions of nonlinear wave equations in higher dimension
-
[B2] J. Bourgain. Construction of periodic solutions of nonlinear wave equations in higher dimension, GAFA 5 (1995), 629-639.
-
(1995)
GAFA
, vol.5
, pp. 629-639
-
-
Bourgain, J.1
-
3
-
-
0034310141
-
On non-perturbative localization with quasi-periodic potential
-
[G-B] J. Bourgain, M. Goldstein. On non-perturbative localization with quasi-periodic potential, Annals of Math. (2) 152(3) (2000), 835-879.
-
(2000)
Annals of Math. (2)
, vol.152
, Issue.3
, pp. 835-879
-
-
Bourgain, J.1
Goldstein, M.2
-
6
-
-
0034354314
-
Anderson localization for Schrödinger operators on Z with strongly mixing potentials
-
[B-S] J. Bourgain, W. Schlag. Anderson localization for Schrödinger operators on Z with strongly mixing potentials, CMP 215 (2000), 143-175.
-
(2000)
CMP
, vol.215
, pp. 143-175
-
-
Bourgain, J.1
Schlag, W.2
-
7
-
-
84860071020
-
n. Pure point spectrum
-
n. Pure point spectrum, CMP 153(3) (1993), 539-557.
-
(1993)
CMP
, vol.153
, Issue.3
, pp. 539-557
-
-
Chulaevsky, V.1
Dinaburg, E.2
-
8
-
-
21844522123
-
Positive Lyapounov exponents for a class of deterministic potentials
-
[C-S] V. Chulaevsky, T. Spencer. Positive Lyapounov exponents for a class of deterministic potentials, CMP 168 (1995), 455-466.
-
(1995)
CMP
, vol.168
, pp. 455-466
-
-
Chulaevsky, V.1
Spencer, T.2
-
9
-
-
0001859501
-
Anderson localization for multifrequency quasi-periodic potentials in one dimension
-
[C-Si] V. Chulaevsky, Y. Sinai. Anderson localization for multifrequency quasi-periodic potentials in one dimension, CMP 125 (1989), 91-121.
-
(1989)
CMP
, vol.125
, pp. 91-121
-
-
Chulaevsky, V.1
Sinai, Y.2
-
10
-
-
8744221061
-
Problemes de petits diviseurs dans les Equations aux dérivées partielles
-
SMF, Paris
-
W. Craig. Problemes de petits diviseurs dans les Equations aux dérivées partielles, Panoramas et Synthèses, 9, SMF, Paris, 2000.
-
(2000)
Panoramas et Synthèses
, vol.9
-
-
Craig, W.1
-
11
-
-
84990576596
-
Newton's method and periodic solutions of nonlinear wave equations
-
[C-W] W. Craig, C. Wayne. Newton's method and periodic solutions of nonlinear wave equations, CPAM 46 (1993), 1409-1501.
-
(1993)
CPAM
, vol.46
, pp. 1409-1501
-
-
Craig, W.1
Wayne, C.2
-
12
-
-
34250081512
-
v. Pure point spectrum
-
v. Pure point spectrum, CMP 153(3) (1993), 559-577.
-
(1993)
CMP
, vol.153
, Issue.3
, pp. 559-577
-
-
Dinaburg, E.I.1
Sinai, Y.2
-
13
-
-
0001699970
-
Discrete one-dimensional quasi-periodic Schrödinger operators with pure point spectrum
-
[E] L.H. Eliasson. Discrete one-dimensional quasi-periodic Schrödinger operators with pure point spectrum, Acta Math. 179 (1997), 153-196.
-
(1997)
Acta Math.
, vol.179
, pp. 153-196
-
-
Eliasson, L.H.1
-
14
-
-
0002234361
-
Localization for a class of one dimensional quasi-periodic Schrödinger operators
-
[F-S-W] J. Fröhlich, T. Spencer, P. Wittwer. Localization for a class of one dimensional quasi-periodic Schrödinger operators, Comm. Math. Phys. 132 (1990), 5-25.
-
(1990)
Comm. Math. Phys.
, vol.132
, pp. 5-25
-
-
Fröhlich, J.1
Spencer, T.2
Wittwer, P.3
-
15
-
-
0035535652
-
Hölder continuity of the integrated density of states for quasi-periodic Schrödinger equations and averages of shifts of sub-harmonic functions
-
[G-S] M. Goldstein, W. Schlag. Hölder continuity of the integrated density of states for quasi-periodic Schrödinger equations and averages of shifts of sub-harmonic functions, Annals of Math. 154 (2001) 155-203.
-
(2001)
Annals of Math.
, vol.154
, pp. 155-203
-
-
Goldstein, M.1
Schlag, W.2
-
16
-
-
0033235963
-
Metal-insulator transition for the almost mathieu operator
-
[J] S. Jitomirskaya. Metal-insulator transition for the Almost Mathieu operator, Annals of Math. (2) 150(3) (1999), 1159-1175.
-
(1999)
Annals of Math. (2)
, vol.150
, Issue.3
, pp. 1159-1175
-
-
Jitomirskaya, S.1
-
17
-
-
0040157758
-
Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation
-
[K-P] S. Kuksin, J. Pöschel. Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation, Annals of Math. 143 (1996), 149-179.
-
(1996)
Annals of Math.
, vol.143
, pp. 149-179
-
-
Kuksin, S.1
Pöschel, J.2
-
18
-
-
0000763917
-
Anderson localization for one-dimensional difference Schrödinger operator with quasi-periodic potential
-
[Si] Ya.G. Sinai. Anderson localization for one-dimensional difference Schrödinger operator with quasi-periodic potential, J. Statist. Phys. 46 (1987), 861-909.
-
(1987)
J. Statist. Phys.
, vol.46
, pp. 861-909
-
-
Sinai, Y.G.1
-
19
-
-
0001656464
-
The ergodic theory of subadditive stochastic processes
-
[K] J.F.C. Kingman. The ergodic theory of subadditive stochastic processes, J. Royal Statist. Soc. B30 (1968).
-
(1968)
J. Royal Statist. Soc.
, vol.B30
-
-
Kingman, J.F.C.1
-
20
-
-
84972566320
-
Almost periodic Schrödinger operators II. The integrated density of states
-
[S] J. Avron, B. Simon. Almost periodic Schrödinger operators II. The integrated density of states, Duke Math. J. 50 (1) (1983), 369-391.
-
(1983)
Duke Math. J.
, vol.50
, Issue.1
, pp. 369-391
-
-
Avron, J.1
Simon, B.2
-
22
-
-
51249181642
-
Une methode pour minorer les exposants de Lyapounov et quelques examples montrant le caractère local d'un théorème d'Arnold et de Moser sur le tore de dimension 2
-
[H] M. Herman. Une methode pour minorer les exposants de Lyapounov et quelques examples montrant le caractère local d'un théorème d'Arnold et de Moser sur le tore de dimension 2, Comment. Math. Helv. 58 (1983), 453-562.
-
(1983)
Comment. Math. Helv.
, vol.58
, pp. 453-562
-
-
Herman, M.1
-
23
-
-
0001305291
-
Positive Lyapounov exponents for Schrödinger operators with quasi-periodic potentials
-
[S-S] E. Soretz, T. Spencer. Positive Lyapounov exponents for Schrödinger operators with quasi-periodic potentials, CMP 142(3) (1991), 543-566.
-
(1991)
CMP
, vol.142
, Issue.3
, pp. 543-566
-
-
Soretz, E.1
Spencer, T.2
-
24
-
-
0035402419
-
b with potentials given by the skew shift
-
b with potentials given by the skew shift, CMP 220(3) (2002), 583-621.
-
(2002)
CMP
, vol.220
, Issue.3
, pp. 583-621
-
-
Bourgain, J.1
Goldstein, M.2
Schlag, W.3
-
26
-
-
0141450327
-
Continuity of the Lyapounov exponent for quasi-periodic operators with analytic potential
-
[B-J] J. Bourgain, S. Jitomirskaya. Continuity of the Lyapounov exponent for quasi-periodic operators with analytic potential, J. Stat. Phys. 108(5-6) (2002), 1203-1218.
-
(2002)
J. Stat. Phys.
, vol.108
, Issue.5-6
, pp. 1203-1218
-
-
Bourgain, J.1
Jitomirskaya, S.2
-
27
-
-
0001449373
-
Log Hölder continuity of the integrated density of states for stochastic Jacobi matrices
-
[C-S] W. Craig, B. Simon. Log Hölder continuity of the integrated density of states for stochastic Jacobi matrices, CMP 90(2) (1983), 207-218.
-
(1983)
CMP
, vol.90
, Issue.2
, pp. 207-218
-
-
Craig, W.1
Simon, B.2
-
28
-
-
0003307540
-
Analyse semi-classique pour l'equation de Harper
-
[H-S] B. Helffer, J. Sjostrand. Analyse semi-classique pour l'equation de Harper, Memoire SMF 34 (1988).
-
(1988)
Memoire SMF
, vol.34
-
-
Helffer, B.1
Sjostrand, J.2
-
30
-
-
0002946207
-
Anderson localization for the band model
-
[B-J1] J. Bourgain, S. Jitomirskaya. Anderson localization for the band model, Springer LNM 1745 (2000), 67-79.
-
(2000)
Springer LNM
, vol.1745
, pp. 67-79
-
-
Bourgain, J.1
Jitomirskaya, S.2
-
31
-
-
0036016733
-
Non-perturbative absolutely continuous spectrum for ID quasi-periodic operators
-
[B-J2] Idem. Non-perturbative absolutely continuous spectrum for ID quasi-periodic operators, Inventiones Math. 148(3) (2002), 453-463.
-
(2002)
Inventiones Math.
, vol.148
, Issue.3
, pp. 453-463
-
-
Bourgain, J.1
Jitomirskaya, S.2
-
33
-
-
0036433781
-
On the spectrum of lattice Schrödinger operators with deterministic potential
-
[B] J. Bourgain. On the spectrum of lattice Schrödinger operators with deterministic potential, J. Anal. Math. 87 (2002), 37-75.
-
(2002)
J. Anal. Math.
, vol.87
, pp. 37-75
-
-
Bourgain, J.1
-
34
-
-
0001885983
-
Almost everything about the Almost Mathieu operator
-
International Press, Cambridge, England
-
[L]Y. Last. Almost everything about the Almost Mathieu operator, Proc. XI, International Congress Math Phys., Paris 1994, pp. 366-372. International Press, Cambridge, England, 1995.
-
(1995)
Proc. XI, International Congress Math Phys., Paris 1994
, pp. 366-372
-
-
Last, Y.1
-
35
-
-
0000763917
-
Anderson localization for one-dimensional difference Schrödinger operator with quasi-periodic potential
-
[Sin] Y. Sinai. Anderson localization for one-dimensional difference Schrödinger operator with quasi-periodic potential, J. Stat. Phys. 46 (1987), 861-909.
-
(1987)
J. Stat. Phys.
, vol.46
, pp. 861-909
-
-
Sinai, Y.1
-
36
-
-
0000407064
-
Cantor spectrum for the Almost Mathieu equation
-
[B-S] J. Bellissard, B. Simon. Cantor spectrum for the Almost Mathieu equation, J. Funct. Anal. 48(3) (1982), 408-419.
-
(1982)
J. Funct. Anal.
, vol.48
, Issue.3
, pp. 408-419
-
-
Bellissard, J.1
Simon, B.2
-
37
-
-
0002638383
-
Duality and singular continuous spectrum in the Almost Mathieu equation
-
[G-J-L-S] A. Gordon, S. Jitomirskaya, Y. Last, B. Simon. Duality and singular continuous spectrum in the Almost Mathieu equation, Acta Math. 178(1997), 169-183.
-
(1997)
Acta Math.
, vol.178
, pp. 169-183
-
-
Gordon, A.1
Jitomirskaya, S.2
Last, Y.3
Simon, B.4
-
39
-
-
84860059807
-
-
[H-S] B. Helffer, J. Sjöstrand. Mémoires de la SMF 34 (1988) and 39 (1989).
-
(1989)
Mémoires de la SMF
, vol.39
-
-
-
40
-
-
0036433781
-
On the spectrum of lattice Schrödinger operators with deterministic potential, I, II
-
[B1, 2] J. Bourgain. On the spectrum of lattice Schrödinger operators with deterministic potential, I, II, J. Analyse Math. 87 (2002), 37-75, and 88 (2002), 221-254.
-
(2002)
J. Analyse Math.
, vol.87
, pp. 37-75
-
-
Bourgain, J.1
-
41
-
-
0036934165
-
-
[B1, 2] J. Bourgain. On the spectrum of lattice Schrödinger operators with deterministic potential, I, II, J. Analyse Math. 87 (2002), 37-75, and 88 (2002), 221-254.
-
(2002)
J. Analyse Math.
, vol.88
, pp. 221-254
-
-
-
44
-
-
84860071084
-
Transition d'Anderson pour des opérateurs de Schrödinger quasiperiodiques en dimension 1
-
Expo. IV
-
[F-K] A. Fedorov, F. Klopp. Transition d'Anderson pour des opérateurs de Schrödinger quasiperiodiques en dimension 1, Séminaire: Equations aux Dérivées Partielles, 1998-1999, Expo. IV.
-
(1998)
Séminaire: Equations aux Dérivées Partielles
-
-
Fedorov, A.1
Klopp, F.2
-
45
-
-
0036662707
-
Estimates on Green's functions, localization and the quantum kicked rotor model
-
[B] J. Bourgain. Estimates on Green's functions, localization and the quantum kicked rotor model, Annals of Math. 156(1) (2002), 249-294.
-
(2002)
Annals of Math.
, vol.156
, Issue.1
, pp. 249-294
-
-
Bourgain, J.1
-
46
-
-
11144276177
-
-
J. Bourgain, M. Goldstein, W. Schlag. See Chapter 13
-
[BGS] J. Bourgain, M. Goldstein, W. Schlag. See Chapter 13.
-
-
-
-
47
-
-
0036662707
-
Estimates on Green's functions, localization and the quantum kicked rotor model
-
[B1] J. Bourgain. Estimates on Green's functions, localization and the quantum kicked rotor model, Annals of Math. 156(1) (2002), 249-294.
-
(2002)
Annals of Math.
, vol.156
, Issue.1
, pp. 249-294
-
-
Bourgain, J.1
-
48
-
-
0036433781
-
On the spectrum of lattice Schrödinger operators with deterministic potential
-
[B2] J. Bourgain. On the spectrum of lattice Schrödinger operators with deterministic potential, J. Analyse Math. 87 (2002), 37-75 and 88 (2002), 221-254.
-
(2002)
J. Analyse Math.
, vol.87
, pp. 37-75
-
-
Bourgain, J.1
-
49
-
-
0036934165
-
-
[B2] J. Bourgain. On the spectrum of lattice Schrödinger operators with deterministic potential, J. Analyse Math. 87 (2002), 37-75 and 88 (2002), 221-254.
-
(2002)
J. Analyse Math.
, vol.88
, pp. 221-254
-
-
-
50
-
-
0035402419
-
Anderson localization for Schrödinger operators on Z with potentials given by the skew shift
-
[GBS] J. Bourgain, M. Goldstein, W. Schlag. Anderson localization for Schrödinger operators on Z with potentials given by the skew shift, Comm. Math. Phys. 220(3) (2001), 583-621.
-
(2001)
Comm. Math. Phys.
, vol.220
, Issue.3
, pp. 583-621
-
-
Bourgain, J.1
Goldstein, M.2
Schlag, W.3
-
52
-
-
0000975419
-
Noncommutative methods in semiclassical analysis
-
[Be1] J. Bellissard. Noncommutative methods in semiclassical analysis, Springer LNM 1589 (1994), 1-64.
-
(1994)
Springer LNM
, vol.1589
, pp. 1-64
-
-
Bellissard, J.1
-
53
-
-
0033247272
-
Growth of Sobolev norms in linear Schrödinger equations with quasi-periodic potential
-
[B1] J. Bourgain. Growth of Sobolev norms in linear Schrödinger equations with quasi-periodic potential, CMP 204 (1999), 207-247.
-
(1999)
CMP
, vol.204
, pp. 207-247
-
-
Bourgain, J.1
-
54
-
-
84860065352
-
On the growth of Sobolev norms in linear Schrödinger equations with smooth time potential
-
[B2] J. Bourgain. On the growth of Sobolev norms in linear Schrödinger equations with smooth time potential, J. Analyse 72 (1999), 289-310.
-
(1999)
J. Analyse
, vol.72
, pp. 289-310
-
-
Bourgain, J.1
-
55
-
-
0003464004
-
-
Springer-Verlag, Berlin
-
[CCFI] G. Casati, B. Chirikov, J. Ford, F. Izraelev. Lecture Notes in Physics, pp. 334-352, Springer-Verlag, Berlin, 1993.
-
(1993)
Lecture Notes in Physics
, pp. 334-352
-
-
Casati, G.1
Chirikov, B.2
Ford, J.3
Izraelev, F.4
-
57
-
-
4243124214
-
Chaos, quantum recurrences, and Anderson localization
-
[FGP] S. Fishman, D. Grempel, R. Prange. Chaos, quantum recurrences, and Anderson localization, Phys. Rev. Letters 49 (1982), 509-512.
-
(1982)
Phys. Rev. Letters
, vol.49
, pp. 509-512
-
-
Fishman, S.1
Grempel, D.2
Prange, R.3
-
58
-
-
0002652186
-
Mathematical problems in the theory of quantum chaos
-
[Sin] Y. Sinai. Mathematical problems in the theory of quantum chaos, Springer LNM 1469 (1991), 41-59.
-
(1991)
Springer LNM
, vol.1469
, pp. 41-59
-
-
Sinai, Y.1
-
61
-
-
0031287692
-
On Melnikov's persistency problem
-
[B1] J. Bourgain. On Melnikov's persistency problem, Math. Res. Lett. 4(1997), 445-458.
-
(1997)
Math. Res. Lett.
, vol.4
, pp. 445-458
-
-
Bourgain, J.1
-
62
-
-
84963026889
-
Construction of quasi-periodic solutions of Hamiltonian perturbations of linear equations and applications to nonlinear PDE
-
[B2] J. Bourgain. Construction of quasi-periodic solutions of Hamiltonian perturbations of linear equations and applications to nonlinear PDE, International Math. Res. Notices 11 (1994), 475-497.
-
(1994)
International Math. Res. Notices
, vol.11
, pp. 475-497
-
-
Bourgain, J.1
-
63
-
-
0003295595
-
Nonlinear Schrödinger equations
-
IAS/Park City Math. Ser. 5, American Math. Soc., Providence, RI
-
[B3] J. Bourgain. Nonlinear Schrödinger equations, in Hyperbolic Equations and Frequency Interactions, IAS/Park City Math. Ser. 5, American Math. Soc., Providence, RI, 1999, pp. 3-157.
-
(1999)
Hyperbolic Equations and Frequency Interactions
, pp. 3-157
-
-
Bourgain, J.1
-
64
-
-
0032272850
-
Quasi-periodic solutions of Hamiltonian perturbations of 2Dlinear Schrödinger equations
-
[B4] J. Bourgain. Quasi-periodic solutions of Hamiltonian perturbations of 2Dlinear Schrödinger equations, Annals of Math. 148 (1998), 363-439.
-
(1998)
Annals of Math.
, vol.148
, pp. 363-439
-
-
Bourgain, J.1
-
65
-
-
84990576596
-
Newton's method and periodic solutions of nonlinear wave equations
-
[C-W] W. Craig, C. Wayne. Newton's method and periodic solutions of nonlinear wave equations, Comm. Pure Appl. Math. 46 (1993), 1409-1501.
-
(1993)
Comm. Pure Appl. Math.
, vol.46
, pp. 1409-1501
-
-
Craig, W.1
Wayne, C.2
-
66
-
-
0000412297
-
Perturbations of stable invariant tori
-
[E] L.H. Eliasson. Perturbations of stable invariant tori, Ann. Scuola Norm. Sup. Pisa CI. Sci. 15(4) (1988), 115-147.
-
(1988)
Ann. Scuola Norm. Sup. Pisa CI. Sci.
, vol.15
, Issue.4
, pp. 115-147
-
-
Eliasson, L.H.1
-
67
-
-
0001836195
-
Nearly integrable infinite-dimensional Hamiltonian systems
-
Springer-Verlag, Berlin
-
[Kuk] S. Kuksin. Nearly integrable infinite-dimensional Hamiltonian systems, Lecture Notes in Math., Springer-Verlag, Berlin, 1993, p. 1556.
-
(1993)
Lecture Notes in Math.
, pp. 1556
-
-
Kuksin, S.1
-
68
-
-
0000882204
-
On elliptic lower dimensional tori in Hamiltonian systems
-
[Pos] J. Pöschel. On elliptic lower dimensional tori in Hamiltonian systems, Math. Z. 202 (1989), 559-608.
-
(1989)
Math. Z.
, vol.202
, pp. 559-608
-
-
Pöschel, J.1
-
69
-
-
34249756262
-
Construction of periodic solutions of nonlinear wave equations in higher dimension
-
J. Bourgain. Construction of periodic solutions of nonlinear wave equations in higher dimension, GAFA 5 (1995), 629-639.
-
(1995)
GAFA
, vol.5
, pp. 629-639
-
-
Bourgain, J.1
-
70
-
-
0003295595
-
Nonlinear Schrödinger equations
-
IAS/Park City Math. Ser. 5, Amer. Math. Soc., Providence, RI
-
J. Bourgain. Nonlinear Schrödinger equations. In Hyperbolic equations and frequency interactions, IAS/Park City Math. Ser. 5, Amer. Math. Soc., Providence, RI, 1999, pp. 3-157.
-
(1999)
Hyperbolic Equations and Frequency Interactions
, pp. 3-157
-
-
Bourgain, J.1
-
71
-
-
0001836195
-
Nearly integrable infinite-dimensional Hamiltonian systems
-
Springer-Verlag, Berlin
-
S. Kuksin. Nearly integrable infinite-dimensional Hamiltonian systems, Lecture Notes in Math., Springer-Verlag, Berlin, 1993, p. 1556.
-
(1993)
Lecture Notes in Math.
, pp. 1556
-
-
Kuksin, S.1
-
72
-
-
0000502263
-
Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory
-
C. Wayne. Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory, CMP 127 (1990), 479-528.
-
(1990)
CMP
, vol.127
, pp. 479-528
-
-
Wayne, C.1
|