-
1
-
-
51249180848
-
An Extension of a Result by Dinaburg and Sinai on Quasi-periodic Potentials
-
Moser, J. and Pöschel, J., An Extension of a Result by Dinaburg and Sinai on Quasi-periodic Potentials, Comment. Math. Helvetici, 1984, vol. 59, pp. 39-85.
-
(1984)
Comment. Math. Helvetici
, vol.59
, pp. 39-85
-
-
Moser, J.1
Pöschel, J.2
-
2
-
-
0001401431
-
Floquet Solutions for the One-dimensional Quasi-periodic Schrödinger Equation
-
Eliasson, L. H., Floquet Solutions for the One-dimensional Quasi-periodic Schrödinger Equation, Comm. Math. Phys., 1992, vol. 146, pp. 447-482.
-
(1992)
Comm. Math. Phys.
, vol.146
, pp. 447-482
-
-
Eliasson, L.H.1
-
3
-
-
0242275980
-
Resonance Tongues and Instability Pockets in the Quasi-periodic Hill-Schrödinger Equation
-
Broer, H. W., Puig, J., and Simó, C., Resonance Tongues and Instability Pockets in the Quasi-periodic Hill-Schrödinger Equation, Comm. Math. Phys, 2003, vol. 241, pp. 467-503.
-
(2003)
Comm. Math. Phys
, vol.241
, pp. 467-503
-
-
Broer, H.W.1
Puig, J.2
Simó, C.3
-
4
-
-
33645077329
-
Analytic Families of Reducible Linear Quasi-periodic Differential Equations
-
Puig, J. and Simó, C., Analytic Families of Reducible Linear Quasi-periodic Differential Equations, Ergodic Theory Dynam. Systems, 2006, vol. 26, no. 2, pp. 481-524.
-
(2006)
Ergodic Theory Dynam. Systems
, vol.26
, Issue.2
, pp. 481-524
-
-
Puig, J.1
Simó, C.2
-
5
-
-
0003653890
-
-
New York: Dover Publications Inc
-
Magnus, W. and Winkler, S., Hill's Equation, New York: Dover Publications Inc., 1979. Corrected reprint of the 1966 edition.
-
(1979)
Hill's Equation
-
-
Magnus, W.1
Winkler, S.2
-
6
-
-
0034692247
-
Resonance Tongues in Hill's Equations: a Geometric Approach
-
Broer, H. W. and Simó, C., Resonance Tongues in Hill's Equations: a Geometric Approach, J. Differential Equations, 2000, vol. 166, no. 2, pp. 290-327.
-
(2000)
J. Differential Equations
, vol.166
, Issue.2
, pp. 290-327
-
-
Broer, H.W.1
Simó, C.2
-
7
-
-
84974355988
-
The Algebraic-Geometric AKNS Potentials
-
De Concini, C. and Johnson, R. A., The Algebraic-Geometric AKNS Potentials, Ergodic Theory Dynam. Systems, 1987, vol. 7, no. 1, pp. 1-24.
-
(1987)
Ergodic Theory Dynam. Systems
, vol.7
, Issue.1
, pp. 1-24
-
-
de Concini, C.1
Johnson, R.A.2
-
8
-
-
0042939448
-
Cantor Spectrum for the Quasi-periodic Schrödinger Equation
-
Johnson, R. A., Cantor Spectrum for the Quasi-periodic Schrödinger Equation, J. Diff. Eq., 1991, vol. 91, pp. 88-110.
-
(1991)
J. Diff. Eq.
, vol.91
, pp. 88-110
-
-
Johnson, R.A.1
-
9
-
-
0041937763
-
On the Nature of the Spectrum of the Quasi-periodic Schrödinger Operator
-
Fabbri, R., Johnson, R. A., and Pavani, R., On the Nature of the Spectrum of the Quasi-periodic Schrödinger Operator, Nonlinear Anal. Real World Appl., 2002, vol. 3, no. 1, pp. 37-59.
-
(2002)
Nonlinear Anal. Real World Appl.
, vol.3
, Issue.1
, pp. 37-59
-
-
Fabbri, R.1
Johnson, R.A.2
Pavani, R.3
-
10
-
-
73149091411
-
On the Spectrum of the One-dimensional Schrödinger Operator
-
Cong, N. D. and Fabbri, R., On the Spectrum of the One-dimensional Schrödinger Operator, Discrete Contin. Dyn. Syst., Ser. B, 2008, vol. 9, nos 3-4, pp. 541-554.
-
(2008)
Discrete Contin. Dyn. Syst., Ser. B
, vol.9
, Issue.3-4
, pp. 541-554
-
-
Cong, N.D.1
Fabbri, R.2
-
11
-
-
77954016470
-
Cantor Spectrum for Schrödinger Operators with Potentials Arising from Generalized Skew-shifts
-
Avila, A., Bochi, J., and Damanik, D., Cantor Spectrum for Schrödinger Operators with Potentials Arising from Generalized Skew-shifts, Duke Math. J., 2009, vol. 146, no. 2, pp. 253-280.
-
(2009)
Duke Math. J.
, vol.146
, Issue.2
, pp. 253-280
-
-
Avila, A.1
Bochi, J.2
Damanik, D.3
-
12
-
-
27144516452
-
Hill's Equation with Quasi-periodic Forcing: Resonance Tongues, Instability Pockets and Global Phenomena
-
Broer, H. W. and Simó, C., Hill's Equation with Quasi-periodic Forcing: Resonance Tongues, Instability Pockets and Global Phenomena, Bol. Soc. Brasil. Mat. (N. S.), 1998, vol. 29, no. 2, pp. 253-293.
-
(1998)
Bol. Soc. Brasil. Mat. (N.S.)
, vol.29
, Issue.2
, pp. 253-293
-
-
Broer, H.W.1
Simó, C.2
-
13
-
-
0003562699
-
-
Delhi: Hindustan Publishing Corp
-
Bogoljubov, N. N., Mitropoliskii, J. A., and Samoǐlenko, A. M., Methods of Accelerated Convergence in Nonlinear Mechanics, Delhi: Hindustan Publishing Corp., 1976.
-
(1976)
Methods of Accelerated Convergence in Nonlinear Mechanics
-
-
Bogoljubov, N.N.1
Mitropoliskii, J.A.2
Samoǐlenko, A.M.3
-
14
-
-
0000868522
-
On the Reducibility of Linear Differential Equations with Quasiperiodic Coefficients
-
Jorba, À. and Simó, C., On the Reducibility of Linear Differential Equations with Quasiperiodic Coefficients, J. Differential Equations, 1992, vol. 98, no. 1, pp. 111-124.
-
(1992)
J. Differential Equations
, vol.98
, Issue.1
, pp. 111-124
-
-
Jorba1
Simó, C.2
-
15
-
-
54049156057
-
Full Measure Reducibility for Generic One-parameter Family of Quasi-periodic Linear Systems
-
He, H. L. and You, J., Full Measure Reducibility for Generic One-parameter Family of Quasi-periodic Linear Systems. Journal of Dynamics and Differential Equations, 2008, vol. 20, pp. 1-36.
-
(2008)
Journal of Dynamics and Differential Equations
, vol.20
, pp. 1-36
-
-
He, H.L.1
You, J.2
-
16
-
-
49349126301
-
A Spectral Theory for Linear Differential Systems
-
Sacker, R. J. and Sell, G. R., A Spectral Theory for Linear Differential Systems, J. Diff. Eq., 1978, vol. 27, pp. 320-358.
-
(1978)
J. Diff. Eq.
, vol.27
, pp. 320-358
-
-
Sacker, R.J.1
Sell, G.R.2
-
17
-
-
0001656464
-
The Ergodic Theory of Subadditive Stochastic Processes
-
Kingman, J. F. C., The Ergodic Theory of Subadditive Stochastic Processes, J. Roy. Statist. Soc. Ser. B, 1968, vol. 30, pp. 499-510.
-
(1968)
J. Roy. Statist. Soc. Ser. B
, vol.30
, pp. 499-510
-
-
Kingman, J.F.C.1
-
18
-
-
0000423029
-
The Rotation Number for Almost Periodic Potentials
-
Johnson, R. A. and Moser, J., The Rotation Number for Almost Periodic Potentials, Commun. Math. Phys., 1982, vol. 84, pp. 403-438.
-
(1982)
Commun. Math. Phys.
, vol.84
, pp. 403-438
-
-
Johnson, R.A.1
Moser, J.2
-
19
-
-
51249181642
-
Une méthode pour minorer les exposants de Lyapunov et quelques exemples montrant le caractère local d'un théorème d'Arnold et de Moser sur le tore de dimension 2
-
Herman, M. R., Une méthode pour minorer les exposants de Lyapunov et quelques exemples montrant le caractère local d'un théorème d'Arnold et de Moser sur le tore de dimension 2. Comment. Math. Helvetici, 1983, vol. 58, no. 3, pp. 453-502.
-
(1983)
Comment. Math. Helvetici
, vol.58
, Issue.3
, pp. 453-502
-
-
Herman, M.R.1
-
20
-
-
21844486186
-
Geometrical Aspects of Stability Theory for Hill's Equations
-
Broer, H. W. and Levi, M., Geometrical Aspects of Stability Theory for Hill's Equations, Arch. Rational Mech. Anal., 1995, vol. 131, no. 3, pp. 225-240.
-
(1995)
Arch. Rational Mech. Anal.
, vol.131
, Issue.3
, pp. 225-240
-
-
Broer, H.W.1
Levi, M.2
-
21
-
-
79952036293
-
Resonance Tongues and Spectral Gaps in Quasi-periodic Schrödinger Operators with One or More Frequencies. A Numerical Exploration
-
(to appear)
-
Puig, J. and Simó, C., Resonance Tongues and Spectral Gaps in Quasi-periodic Schrödinger Operators with One or More Frequencies. A Numerical Exploration, J. Dynam. Differential Equations, 2010 (to appear).
-
(2010)
J. Dynam. Differential Equations
-
-
Puig, J.1
Simó, C.2
-
22
-
-
61549110957
-
Hölder Continuity of the Rotation Number for Quasi-periodic Co-cycles in SL(2,R)
-
Hadj Amor, S., Hölder Continuity of the Rotation Number for Quasi-periodic Co-cycles in SL(2, R), Comm. Math. Phys., 2009, vol. 287, no. 2, pp. 565-588.
-
(2009)
Comm. Math. Phys.
, vol.287
, Issue.2
, pp. 565-588
-
-
Hadj Amor, S.1
-
23
-
-
0001055893
-
The One-dimensional Schrödinger Equation with Quasi-periodic Potential
-
Dinaburg, E. I. and Sinai, Y. G., The One-dimensional Schrödinger Equation with Quasi-periodic Potential, Funkt. Anal. i Prilozh., 1975, vol. 9, pp. 8-21 (Russian).
-
(1975)
Funkt. Anal. I Prilozh.
, vol.9
, pp. 8-21
-
-
Dinaburg, E.I.1
Sinai, Y.G.2
-
24
-
-
0002761035
-
Averaging Under Fast Quasiperiodic Forcing
-
New York: Plenum
-
Simó, C., Averaging Under Fast Quasiperiodic Forcing, in Hamiltonian mechanics (Toruń, 1993), New York: Plenum, 1994, pp. 13-34.
-
(1994)
Hamiltonian Mechanics (Toruń, 1993)
, pp. 13-34
-
-
Simó, C.1
-
25
-
-
34250105111
-
Adiabatic Theory, Liapunov Exponents, and Rotation Number for Quadratic Hamiltonians
-
Delyon, F. and Foulon, P., Adiabatic Theory, Liapunov Exponents, and Rotation Number for Quadratic Hamiltonians, J. Stat. Phys., 1987, vol. 49, nos 3-4, pp. 829-840.
-
(1987)
J. Stat. Phys.
, vol.49
, Issue.3-4
, pp. 829-840
-
-
Delyon, F.1
Foulon, P.2
-
26
-
-
34250121788
-
Adiabatic Invariants and Asymptotic Behavior of Lyapunov Exponents of the Schrödinger Equation
-
Delyon, F. and Foulon, P., Adiabatic Invariants and Asymptotic Behavior of Lyapunov Exponents of the Schrödinger Equation, J. Statist. Phys., 1986, vol. 45, nos 1-2, pp. 41-47.
-
(1986)
J. Statist. Phys.
, vol.45
, Issue.1-2
, pp. 41-47
-
-
Delyon, F.1
Foulon, P.2
-
27
-
-
33748578059
-
Cantor Spectrum and KDS Eigenstates
-
Puig, J., Cantor Spectrum and KDS Eigenstates, Comm. Math. Phys., 2006, vol. 267, no. 3, pp. 735-740.
-
(2006)
Comm. Math. Phys.
, vol.267
, Issue.3
, pp. 735-740
-
-
Puig, J.1
-
28
-
-
0002234361
-
Localization for a Class of One-dimensional Quasi-periodic Schrödinger Operators
-
Fröhlich, J., Spencer, T., and Wittwer, P., Localization for a Class of One-dimensional Quasi-periodic Schrödinger Operators, Comm. Math. Phys., 1990, vol. 132, no. 1, pp. 5-25.
-
(1990)
Comm. Math. Phys.
, vol.132
, Issue.1
, pp. 5-25
-
-
Fröhlich, J.1
Spencer, T.2
Wittwer, P.3
-
29
-
-
33644613378
-
Positive Lyapunov Exponents for Continuous Quasiperiodic Schrödinger Equations
-
Bjerklöv, K., Positive Lyapunov Exponents for Continuous Quasiperiodic Schrödinger Equations, J. Math. Phys., 2006, vol. 47, 022702, 4 pages.
-
(2006)
J. Math. Phys.
, vol.47
, pp. 022702
-
-
Bjerklöv, K.1
-
30
-
-
55449092873
-
Ergodic Schrödinger Operators (On One Foot)
-
Proc. Sympos. Pure Math, Providence, RI: AMS
-
Jitomirskaya, S., Ergodic Schrödinger Operators (On One Foot), in Spectral Theory and Mathematical Physics. A Festschrift in Honor of Barry Simon's 60th birthday, Proc. Sympos. Pure Math., vol. 76, Part 2, Providence, RI: AMS, 2007, pp. 613-647.
-
(2007)
Spectral Theory and Mathematical Physics. A Festschrift in Honor of Barry Simon's 60th Birthday
, vol.76
, pp. 613-647
-
-
Jitomirskaya, S.1
-
31
-
-
0000763917
-
Anderson Localization for One-dimensional Difference Schrödinger Operator with Quasiperiodic Potential
-
Sinai, Ya. G., Anderson Localization for One-dimensional Difference Schrödinger Operator with Quasiperiodic Potential, J. Statist. Phys., 1987, vol. 46, nos 5-6, pp. 861-909.
-
(1987)
J. Statist. Phys.
, vol.46
, Issue.5-6
, pp. 861-909
-
-
Sinai, Y.G.1
-
32
-
-
52449118491
-
Fine Properties of the Integrated Density of States and a Quantitative Separation Property of the Dirichlet Eigenvalues
-
Goldstein, M. and Schlag, W., Fine Properties of the Integrated Density of States and a Quantitative Separation Property of the Dirichlet Eigenvalues, Geom. Funct. Anal., 2008, vol. 18, no. 3, pp. 755-869.
-
(2008)
Geom. Funct. Anal.
, vol.18
, Issue.3
, pp. 755-869
-
-
Goldstein, M.1
Schlag, W.2
-
34
-
-
0001859501
-
Anderson Localization for the 1-D Discrete Schrödinger Operator with Two-frequency Potential
-
Chulaevsky, V. A. and Sinaǐ, Ya. G., Anderson Localization for the 1-D Discrete Schrödinger Operator with Two-frequency Potential, Comm. Math. Phys., 1989, vol. 125, no. 1, pp. 91-112.
-
(1989)
Comm. Math. Phys.
, vol.125
, Issue.1
, pp. 91-112
-
-
Chulaevsky, V.A.1
Sinaǐ, Y.G.2
-
35
-
-
22544468094
-
A Software Package for the Numerical Integration of ODEs by Means of Highorder Taylor Methods
-
Jorba, À. and Zou, M., A Software Package for the Numerical Integration of ODEs by Means of Highorder Taylor Methods, Experimental Mathematics, 2005, vol. 14, no. 1, pp. 99-117.
-
(2005)
Experimental Mathematics
, vol.14
, Issue.1
, pp. 99-117
-
-
Jorba1
Zou, M.2
-
37
-
-
0041529988
-
Phase Space Structure of Multi-dimensional Systems by Means of the Mean Exponential Growth Factor of Nearby Orbits
-
Cincotta, P. M., Giordano, C. M., and Simó, C., Phase Space Structure of Multi-dimensional Systems by Means of the Mean Exponential Growth Factor of Nearby Orbits, Phys. D, 2003, vol. 182, nos 3-4, pp. 151-178.
-
(2003)
Phys. D
, vol.182
, Issue.3-4
, pp. 151-178
-
-
Cincotta, P.M.1
Giordano, C.M.2
Simó, C.3
-
38
-
-
33749356721
-
Reducibility or Non-uniform Hyperbolicity for Quasiperiodic Schrödinger Cocycles
-
Avila, A. and Krikorian, R., Reducibility or Non-uniform Hyperbolicity for Quasiperiodic Schrödinger Cocycles, Ann. of Math., 2006, vol. 164, no. 3, pp. 249-294.
-
(2006)
Ann. Of Math.
, vol.164
, Issue.3
, pp. 249-294
-
-
Avila, A.1
Krikorian, R.2
-
39
-
-
0001091673
-
Almost Periodic Schrödinger Operators III. The Absolute Continuous Spectrum
-
Deift, P. and Simon, B., Almost Periodic Schrödinger Operators III. The Absolute Continuous Spectrum, Comm. Math. Phys., 1983, vol. 90, pp. 389-341.
-
(1983)
Comm. Math. Phys.
, vol.90
, pp. 389-341
-
-
Deift, P.1
Simon, B.2
-
40
-
-
77950574165
-
Rotation Numbers for Quasiperiodically Forced Circle Maps-Mode-Locking vs. Strict Monotonicity
-
Bjerklov, K. and Jager, T., Rotation Numbers for Quasiperiodically Forced Circle Maps-Mode-Locking vs. Strict Monotonicity, J. Am. Math. Soc., 2009, vol. 22, no. 2, pp. 353-362.
-
(2009)
J. Am. Math. Soc.
, vol.22
, Issue.2
, pp. 353-362
-
-
Bjerklov, K.1
Jager, T.2
-
41
-
-
51649166508
-
On Simultaneous Diophantine Approximation
-
Nowak, W. G., On Simultaneous Diophantine Approximation, Rendiconti del Circolo Matematico di Palermo, 1984, vol. 33, no. 3, pp. 456-460.
-
(1984)
Rendiconti Del Circolo Matematico Di Palermo
, vol.33
, Issue.3
, pp. 456-460
-
-
Nowak, W.G.1
|