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Green's Function Estimates for Lattice Schrödinger Operators and Applications. 2024 pdf epub mobi 电子书

Green's Function Estimates for Lattice Schrödinger Operators and Applications.
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发表于2024-11-09

Green's Function Estimates for Lattice Schrödinger Operators and Applications. 2024 pdf epub mobi 电子书

Green's Function Estimates for Lattice Schrödinger Operators and Applications. 2024 pdf epub mobi 电子书

Green's Function Estimates for Lattice Schrödinger Operators and Applications. 2024 pdf epub mobi 电子书


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出版者:Princeton University Press
作者:Jean Bourgain
出品人:
页数:200
译者:
出版时间:2004-11-1
价格:USD 55.00
装帧:Paperback
isbn号码:9780691120980
丛书系列:

图书标签: 数学  其余方程7   

Green's Function Estimates for Lattice Schrödinger Operators and Applications. 2024 pdf epub mobi 电子书 图书描述

This book presents an overview of recent developments in the area of localization for quasi-periodic lattice Schrdinger 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."

Green's Function Estimates for Lattice Schrödinger Operators and Applications. 2024 pdf epub mobi 电子书
Green's Function Estimates for Lattice Schrödinger Operators and Applications. 2024 pdf epub mobi 电子书
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Green's Function Estimates for Lattice Schrödinger Operators and Applications. 2024 pdf epub mobi 电子书

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