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Titlebook: New Trends in Mathematical Physics; Selected contributio Vladas Sidoravičius Conference proceedings 20091st edition Springer Science+Busine

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书目名称New Trends in Mathematical Physics
副标题Selected contributio
编辑Vladas Sidoravičius
视频video
概述The latest developments in mathematical physics, presented by outstanding scientists and leaders in a wide range of mathematical physics/mathematics fields.Gives panoramic state of art view on modern
图书封面Titlebook: New Trends in Mathematical Physics; Selected contributio Vladas Sidoravičius Conference proceedings 20091st edition Springer Science+Busine
描述.This book collects selected papers written by invited and plenary speakers of the 15th International Congress on Mathematical Physics (ICMP) in the aftermath of the conference. In extensive review articles and expository texts as well as advanced research articles the world leading experts present the state of the art in modern mathematical physics. New mathematical concepts and ideas are introduced by prominent mathematicalphysicists and mathematicians, covering among others the fields of Dynamical Systems, Operator Algebras, Partial Differential Equations, Probability Theory, Random Matrices, Condensed Matter Physics, Statistical Mechanics, General Relativity, Quantum Mechanics, Quantum Field Theory, Quantum Information and String Theory. All together the contributions in this book give a panoramic view of the latest developments in mathematical physics. They will help readers with a general interest in mathematical physics to get an update on the most recent developments in their field, and give a broad overview on actual and future research directions in this fascinating and rapidly expanding area..
出版日期Conference proceedings 20091st edition
关键词ICMP; ICMP 2006; Probability theory; condensed matter physics; conference; correlation; developments in ma
版次1
doihttps://doi.org/10.1007/978-90-481-2810-5
isbn_softcover978-94-017-7771-1
isbn_ebook978-90-481-2810-5
copyrightSpringer Science+Business Media B.V. 2009
The information of publication is updating

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Rigorous Construction of Luttinger Liquids Through Ward Identities,ng part of the Beta function. The first one was developed in the last years and is based in an essential way on the exact Mattis-Lieb solution of the Luttinger model. More recently, we found a new proof, based on the Ward identities obtained by a chiral local gauge transformation, applied to a Lutti
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,New Algebraic Aspects of Perturbative and Non-perturbative Quantum Field Theory, of Feynman graphs, and Dyson-Schwinger equations. Starting from Lie and Hopf algebras of Feynman graphs, perturbative renormalization is rephrased algebraically. The Hochschild cohomology of these Hopf algebras leads the way to Slavnov-Taylor identities and Dyson-Schwinger equations. We discuss rec
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,Boundary Effects on the Interface Dynamics for the Stochastic Allen–Cahn Equation,. and .. We investigate the asymptotic behavior of the front separating the two stable phases in the limit .→0, when the intensity of the noise is . and .,.→∞ with .. In particular, we prove that it is possible to choose .=.(.) such that in a suitable time scaling limit, the front evolves according
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Dimensional Entropies and Semi-Uniform Hyperbolicity,d the definition in Buzzi (On entropy-expanding maps, preprint .; Cours de Saint-Flour, in preparation, .) of .. We introduce a new notion of . for diffeomorphisms. We indicate some simple sufficient conditions (some of them new) for these properties. We conclude by some work in progress and more qu
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Weak Turbulence for Periodic NLS,ffilani, H. Takaoka and T. Tao. We build new smooth solutions of the cubic defocussing nonlinear Schrödinger equation on the two dimensional torus which are weakly turbulent: given any .≪1,.≫1,.>1, we construct smooth initial data .. in the Sobolev space .. with ., so that the corresponding time evo
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