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Author:   Yakov G. Sinai ,  Sinai
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2010 ed.
Dimensions:   Width: 19.30cm , Height: 3.00cm , Length: 26.00cm
Weight:   1.188kg
ISBN:  

9781441962041

ISBN 10:   1441962042
Pages:   514
Publication Date:   23 August 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Probability Theory.- Simple Random Walks on Tori.- The Limiting Behavior of a One-Dimensional Random Walk in a Random Medium.- A remark concerning random walks with random potentials.- A Random Walk with Random Potential.- Distribution of Some Functionals of the Integral of a Random Walk.- Statistical Mechanics.- Construction of Dynamics in One-Dimensional Systems of Statistical Mechanics.- Phase Diagrams of Classical Lattice Systems.- An Analysis of ANNNI Model by Peierl’s Contour Method.- Critical Indices for Dyson’s Asymptotically-Hierarchical Models.- Investigation of the Critical Point in Models of the Type of Dyson’s Hierarchical Models.- Mathematical Physics.- The One-Dimensional Schrödinger Equation with a Quasiperiodic Potential.- Distribution of Energy Levels of Quantum Free Particle on the Liouville Surface and Trace Formulae.- Mathematical Problems in the Theory of Quantum Chaos.- Dynamics of a Heavy Particle Surrounded by a Finite Number of Light Particles.- Adiabatic Piston as a Dynamical System.- Poisson Distribution in a Geometric Problem.- Mathematical Fluid Dynamics.- Invariant measures for Burgers equation with stochastic forcing.- An Elementary Proof of the Existence and Uniqueness Theorem for the Navier-Stokes Equations.- Statistics of Shocks in Solutions of Inviscid Burgers Equation.- Gibbsian Dynamics and Ergodicity for the Stochastically Forced Navier–Stokes Equation.- Blow Ups of Complex Solutions of the 3D-Navier-Stokes System and Renormalization Group Method.- Two Results Concerning Asymptotic Behavior of Solutions of the Burgers Equation with Force.

Reviews

From the reviews: The second volume covers statistical mechanics and related topics. It contains 22 papers divided into four groups ... . The reader will find a wealth of information and ideas that can still ignite inspiration and motivate students as well as senior researchers. The reader will also have a touch of Sinai's personality, his taste, enthusiasm, and optimism, which are just as invaluable as his mathematical results. (Nikolai Chernov, Mathematical Reviews, Issue 2012 e)

From the reviews: “The second volume covers statistical mechanics and related topics. It contains 22 papers divided into four groups … . The reader will find a wealth of information and ideas that can still ignite inspiration and motivate students as well as senior researchers. The reader will also have a touch of Sinai’s personality, his taste, enthusiasm, and optimism, which are just as invaluable as his mathematical results.” (Nikolai Chernov, Mathematical Reviews, Issue 2012 e)

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