Green's Function Estimates for Lattice Schrödinger Operators and Applications

Jean Bourgain - Collection Annals of Mathematic Studies

174 pages, parution le 14/12/2004

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Résumé

Princeton University Press is proud to have published the Annals or Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition into the twenty-first century as Princeton looks forward to publishing the major works of the new millennium.

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L'auteur - Jean Bourgain

Jean Bourgain is Professor of Mathematics at the Institute for Advanced Study and J. Doob Professor of Mathematics at the University of Illinois, Urbana-Champaign. He is the author of Global Solutions of Nonlinear Schrödinger Equations.

Sommaire

Introduction
Transfer Matrix and Lyapounov Exponent
Herman's Subharmonicity Method
Estimates on Subharmonic Functions
LDT for Shift Model
Avalanche Principle in SL₂(R)
Consequences for Lyapounov Exponent, IDS, and Green's Function
Refinements
Some Facts about Semialgebraic Sets
Localization
Generalization to Certain Long-Range Models
Lyapounov Exponent and Spectrum
Point Spectrum in Multifrequency Models at Small Disorder
A Matrix-Valued Cartan-Type Theorem
Application to Jacobi Matrices Associated with Skew Shifts
Application to the Kicked Rotor Problem
Quasi-Periodic Localization on the Z^d - lattice (d > 1)
An Approach to Melnikov's Theorem on Persistency of Non-resonant Lower Dimension Tori
Application to the Construction of Quasi-Periodic Solutions of Nonlinear Schrödinger Equations
Construction of Quasi-Periodic Solutions of Nonlinear Wave Equations

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Princeton University Press
Auteur(s)	Jean Bourgain
Collection	Annals of Mathematic Studies
Parution	14/12/2004
Nb. de pages	174
Format	15,5 x 23,5
Couverture	Broché
Poids	305g
Intérieur	Noir et Blanc
EAN13	9780691120980
ISBN13	978-0-691-12098-0