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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Green's Function Estimates for Lattice Schrödinger Operators and Applications

Green's Function Estimates for Lattice Schrödinger Operators and Applications

Bourgain, Jean

Paperback

Series: Annals of Mathematics Studies, Book 158

General Mathematics

ISBN10: 0691120986
ISBN13: 9780691120980
Publisher: Princeton University Press
Published: Nov 21 2004
Pages: 184
Weight: 0.68
Height: 0.57 Width: 6.22 Depth: 9.18
Language: English

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.

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