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

0 avg rating
( 0 ratings by Goodreads )
 
9780691120973: Green's Function Estimates for Lattice Schrödinger Operators and Applications. (AM-158) (Annals of Mathematics Studies)
View all copies of this ISBN edition:
 
 

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."

"synopsis" may belong to another edition of this title.

About the Author:

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.

Review:

This text is an up to date introduction to localization problems for lattice Schrödinger operations with deterministic ergodic potentials by one of the leading experts. . . . I can recommend it to any graduate student or researcher in the field.---G. Teschl, Monatschefte für Mathematik

"About this title" may belong to another edition of this title.

Buy New View Book
List Price: US$ 77.00
US$ 111.20

Convert currency

Shipping: US$ 3.27
Within U.S.A.

Destination, rates & speeds

Add to Basket

Other Popular Editions of the Same Title

9780691120980: Green's Function Estimates for Lattice Schrödinger Operators and Applications. (AM-158) (Annals of Mathematics Studies)

Featured Edition

ISBN 10:  0691120986 ISBN 13:  9780691120980
Publisher: Princeton University Press, 2004
Softcover

Top Search Results from the AbeBooks Marketplace

1.

Jean Bourgain
Published by Princeton University Press (2004)
ISBN 10: 0691120978 ISBN 13: 9780691120973
New Hardcover Quantity Available: 1
Seller:
Irish Booksellers
(Portland, ME, U.S.A.)
Rating
[?]

Book Description Princeton University Press, 2004. Condition: New. book. Seller Inventory # M0691120978

More information about this seller | Contact this seller

Buy New
US$ 111.20
Convert currency

Add to Basket

Shipping: US$ 3.27
Within U.S.A.
Destination, rates & speeds

2.

Jean Bourgain
Published by Princeton University Press (2004)
ISBN 10: 0691120978 ISBN 13: 9780691120973
New Hardcover Quantity Available: 1
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description Princeton University Press, 2004. Hardcover. Condition: New. Seller Inventory # DADAX0691120978

More information about this seller | Contact this seller

Buy New
US$ 155.82
Convert currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, rates & speeds