# Download Green's Function Estimates for Lattice Schrödinger Operators and Applications. (AM-158) (Annals of Mathematics Studies) fb2

### by Jean Bourgain

**ISBN:**0691120986**Category:**Math & Science**Author:**Jean Bourgain**Subcategory:**Mathematics**Other formats:**rtf docx lit mobi**Language:**English**Publisher:**Princeton University Press (November 21, 2004)**Pages:**200 pages**FB2 size:**1563 kb**EPUB size:**1459 kb**Rating:**4.1**Votes:**885

Author: Jean Bourgain. Composition Operators on Function Spaces (North-Holland Mathematics Studies). The Ergodic Theory of Lattice Subgroups (AM-172) (Annals of Mathematics Studies).

Author: Jean Bourgain. Differential Operators for Partial Differential Equations and Function Theoretic Applications. Topics in the theory of Schrodinger operators. Annals of Mathematics Studies. Topological Function Spaces (Mathematics and its Applications).

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Use features like bookmarks, note taking and highlighting while reading Green's Function Estimates for Lattice Schr?dinger Operators and Applications. AM-158) (Annals of Mathematics Studies). 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.

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Green's Function Estimate. has been added to your Cart. Series: Annals of Mathematics Studies (Book 171).

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Start by marking Green's Function Estimates for Lattice Schr�dinger Operators and Applications. Am-158) as Want to Read: Want to Read savin. ant to Read. 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 subharmonic function theory and semi-algebraic set methods.

Jean Bourgain here sets forth the results and techniques that have been discovered in the last few years.

Series: Annals of Mathematics Studies. Published by: Princeton University Press. 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.

Read unlimited books and audiobooks on the web, iPad, iPhone and Android. He describes various applications to the theory of differential equations and dynamical systems, in particular to the quantum kicked rotor and KAM theory for nonlinear Hamiltonian evolution equations.

Series:Annals of Mathematics Studies 171. Princeton university press.

AM-158) by Jean Bourgain and Publisher Princeton University Press. Save up to 80% by choosing the eTextbook option for ISBN: 9781400837144, 1400837146. The print version of this textbook is ISBN: 9780691120973, 0691120978. digital pages viewed over the past 12 months. institutions using Bookshelf across 241 countries.

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 subharmonic function theory and semi-algebraic set methods. He describes various applications to the theory of differential equations and dynamical systems, in particular to the quantum kicked rotor and KAM theory for nonlinear Hamiltonian evolution equations.

Intended primarily for graduate students and researchers in the general area of dynamical systems and mathematical physics, the book provides a coherent account of a large body of work that is presently scattered in the literature. It does so in a refreshingly contained manner that seeks to convey the present technological "state of the art."