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The Resource Green''s Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)

Green''s Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)

Label
Green''s Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)
Title
Green''s Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)
Creator
Subject
Language
eng
Summary
This book presents an overview of recent developments in the area of localization for quasi-periodic lattice Schrödinger operators and the theory of quasi-periodicity in Hamiltonian evolution equations. The physical motivation of these models extends back to the works of Rudolph Peierls and Douglas R. Hofstadter, and the models themselves have been a focus of mathematical research for two decades. Jean Bourgain here sets forth the results and techniques that have been discovered in the last few years. He puts special emphasis on so-called ""non-perturbative"" methods and the important role of
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Cataloging source
EBLCP
Index
no index present
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Annals of Mathematics Studies
Green''s Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)
Label
Green''s Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)
Link
http://www.jstor.org/stable/10.2307/j.ctt7zvc64
Publication
Note
Appendix
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Antecedent source
unknown
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Cover; Title; Copyright; 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 LyapounovExponent, 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 DisorderChapter 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 Zd̂-lattice (d> 1); Chapter 18. An Approach to Melnikov's Theorem on Persistency of Non-resonant 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
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{'f': 'http://opac.lib.rpi.edu/record=b4332516'}
Extent
1 online resource (184 pages).
File format
unknown
Form of item
online
Isbn
9781400837144
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Quality assurance targets
not applicable
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Sound
unknown sound
Specific material designation
remote

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