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Green's function estimates for lattice Schrödinger operators and applications / / J. Bourgain
| Green's function estimates for lattice Schrödinger operators and applications / / J. Bourgain |
| Autore | Bourgain Jean <1954-> |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2005 |
| Descrizione fisica | 1 online resource (184 p.) |
| Disciplina | 515.3/9 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Schrödinger operator
Green's functions Hamiltonian systems Evolution equations |
| Soggetto non controllato |
Almost Mathieu operator
Analytic function Anderson localization Betti number Cartan's theorem Chaos theory Density of states Dimension (vector space) Diophantine equation Dynamical system Equation Existential quantification Fundamental matrix (linear differential equation) Green's function Hamiltonian system Hermitian adjoint Infimum and supremum Iterative method Jacobi operator Linear equation Linear map Linearization Monodromy matrix Non-perturbative Nonlinear system Normal mode Parameter space Parameter Parametrization Partial differential equation Periodic boundary conditions Phase space Phase transition Polynomial Renormalization Self-adjoint Semialgebraic set Special case Statistical significance Subharmonic function Summation Theorem Theory Transfer matrix Transversality (mathematics) Trigonometric functions Trigonometric polynomial Uniformization theorem |
| ISBN |
1-4008-3714-6
0-691-12098-6 |
| Classificazione | 33.06 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Acknowledgment -- Chapter 1. Introduction -- Chapter 2. Transfer Matrix and Lyapounov Exponent -- Chapter 3. Herman's Subharmonicity Method -- Chapter 4. Estimates on Subharmonic Functions -- Chapter 5. LDT for Shift Model -- Chapter 6. Avalanche Principle in SL2(R) -- Chapter 7. Consequences for Lyapounov Exponent, IDS, and Green's Function -- Chapter 8. Refinements -- Chapter 9. Some Facts about Semialgebraic Sets -- Chapter 10. Localization -- Chapter 11. Generalization to Certain Long-Range Models -- Chapter 12. Lyapounov Exponent and Spectrum -- Chapter 13. Point Spectrum in Multifrequency Models at Small Disorder -- Chapter 14. A Matrix-Valued Cartan-Type Theorem -- Chapter 15. Application to Jacobi Matrices Associated with Skew Shifts -- Chapter 16. Application to the Kicked Rotor Problem -- Chapter 17. Quasi-Periodic Localization on the Zd-lattice (d > 1) -- Chapter 18. An Approach to Melnikov's Theorem on Persistency of Nonresonant Lower Dimension Tori -- Chapter 19. Application to the Construction of Quasi-Periodic Solutions of Nonlinear Schrödinger Equations -- Chapter 20. Construction of Quasi-Periodic Solutions of Nonlinear Wave Equations -- Appendix |
| Record Nr. | UNINA-9910790364803321 |
Bourgain Jean <1954->
|
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| Princeton, New Jersey : , : Princeton University Press, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Green's function estimates for lattice Schrödinger operators and applications / / J. Bourgain
| Green's function estimates for lattice Schrödinger operators and applications / / J. Bourgain |
| Autore | Bourgain Jean <1954-> |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2005 |
| Descrizione fisica | 1 online resource (184 p.) |
| Disciplina | 515.3/9 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Schrödinger operator
Green's functions Hamiltonian systems Evolution equations |
| Soggetto non controllato |
Almost Mathieu operator
Analytic function Anderson localization Betti number Cartan's theorem Chaos theory Density of states Dimension (vector space) Diophantine equation Dynamical system Equation Existential quantification Fundamental matrix (linear differential equation) Green's function Hamiltonian system Hermitian adjoint Infimum and supremum Iterative method Jacobi operator Linear equation Linear map Linearization Monodromy matrix Non-perturbative Nonlinear system Normal mode Parameter space Parameter Parametrization Partial differential equation Periodic boundary conditions Phase space Phase transition Polynomial Renormalization Self-adjoint Semialgebraic set Special case Statistical significance Subharmonic function Summation Theorem Theory Transfer matrix Transversality (mathematics) Trigonometric functions Trigonometric polynomial Uniformization theorem |
| ISBN |
1-4008-3714-6
0-691-12098-6 |
| Classificazione | 33.06 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Acknowledgment -- Chapter 1. Introduction -- Chapter 2. Transfer Matrix and Lyapounov Exponent -- Chapter 3. Herman's Subharmonicity Method -- Chapter 4. Estimates on Subharmonic Functions -- Chapter 5. LDT for Shift Model -- Chapter 6. Avalanche Principle in SL2(R) -- Chapter 7. Consequences for Lyapounov Exponent, IDS, and Green's Function -- Chapter 8. Refinements -- Chapter 9. Some Facts about Semialgebraic Sets -- Chapter 10. Localization -- Chapter 11. Generalization to Certain Long-Range Models -- Chapter 12. Lyapounov Exponent and Spectrum -- Chapter 13. Point Spectrum in Multifrequency Models at Small Disorder -- Chapter 14. A Matrix-Valued Cartan-Type Theorem -- Chapter 15. Application to Jacobi Matrices Associated with Skew Shifts -- Chapter 16. Application to the Kicked Rotor Problem -- Chapter 17. Quasi-Periodic Localization on the Zd-lattice (d > 1) -- Chapter 18. An Approach to Melnikov's Theorem on Persistency of Nonresonant Lower Dimension Tori -- Chapter 19. Application to the Construction of Quasi-Periodic Solutions of Nonlinear Schrödinger Equations -- Chapter 20. Construction of Quasi-Periodic Solutions of Nonlinear Wave Equations -- Appendix |
| Record Nr. | UNINA-9910826528403321 |
|
Bourgain Jean <1954->
|
||
| Princeton, New Jersey : , : Princeton University Press, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
New Trends in Lyapunov Exponents : NTLE, Lisbon, Portugal, February 7–11, 2022 / João Lopes Dias ... [et al.] editors
| New Trends in Lyapunov Exponents : NTLE, Lisbon, Portugal, February 7–11, 2022 / João Lopes Dias ... [et al.] editors |
| Pubbl/distr/stampa | Cham, : Springer, 2023 |
| Descrizione fisica | vii, 179 p. : ill. ; 24 cm |
| Soggetto topico |
00B25 - Proceedings of conferences of miscellaneous specific interest [MSC 2020]
34-XX - Ordinary differential equations [MSC 2020] 37-XX - Dynamical systems and ergodic theory [MSC 2020] 93-XX - Systems theory; control [MSC 2020] |
| Soggetto non controllato |
Almost Mathieu operator
Anosov flows Entropy Furstenberg theorem Hyperbolic maps Hyperbolic systems Hölder continuous functions Large deviations Linear cocycles Lyapunov Exponents Non-uniform hyperbolicity Random Dynamical Systems Schrödinger Operators U-entropy |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00278927 |
| Cham, : Springer, 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Vol. 6: In Honor of John Benedetto’s 80th Birthday / Matthew Hirn ... [et al.] editors
| Vol. 6: In Honor of John Benedetto’s 80th Birthday / Matthew Hirn ... [et al.] editors |
| Pubbl/distr/stampa | Cham, : Birkhäuser, : Springer, 2021 |
| Descrizione fisica | xxii, 440 p. : ill. ; 24 cm |
| Soggetto non controllato |
Almost Mathieu operator
Banach-Zaretsky theorem Born-Jordan-type distributions Caderon-Zygmund operator theory Crystallographic groups Discrete translates function spaces Dynamical sampling functions Eigenvalue eigenvector Equiangular frames Harmonic analysis and applications John Benedetto harmonic analysis Nonlinear Shrodinger equations Optimal packing subspaces Spatio-spectral limiting Spectral synthesis problem Wavelet Sets |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0274372 |
| Cham, : Birkhäuser, : Springer, 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Vol. 6: In Honor of John Benedetto’s 80th Birthday / Matthew Hirn ... [et al.] editors
| Vol. 6: In Honor of John Benedetto’s 80th Birthday / Matthew Hirn ... [et al.] editors |
| Pubbl/distr/stampa | Cham, : Birkhäuser, : Springer, 2021 |
| Descrizione fisica | xxii, 440 p. : ill. ; 24 cm |
| Soggetto topico |
00B25 - Proceedings of conferences of miscellaneous specific interest [MSC 2020]
01A70 - Biographies, obituaries, personalia, bibliographies [MSC 2020] 42-XX - Harmonic analysis on Euclidean spaces [MSC 2020] 43-XX - Abstract harmonic analysis [MSC 2020] |
| Soggetto non controllato |
Almost Mathieu operator
Banach-Zaretsky theorem Born-Jordan-type distributions Caderon-Zygmund operator theory Crystallographic groups Discrete translates function spaces Dynamical sampling functions Eigenvalue eigenvector Equiangular frames Harmonic analysis and applications John Benedetto harmonic analysis Nonlinear Shrodinger equations Optimal packing subspaces Spatio-spectral limiting Spectral synthesis problem Wavelet Sets |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00274372 |
| Cham, : Birkhäuser, : Springer, 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||