Hardcover ISBN:  9780821841204 
Product Code:  ADVSOV/20 
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eBook ISBN:  9781470446185 
Product Code:  ADVSOV/20.E 
List Price:  $136.00 
MAA Member Price:  $122.40 
AMS Member Price:  $108.80 
Hardcover ISBN:  9780821841204 
eBook: ISBN:  9781470446185 
Product Code:  ADVSOV/20.B 
List Price:  $272.00 $204.00 
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Hardcover ISBN:  9780821841204 
Product Code:  ADVSOV/20 
List Price:  $136.00 
MAA Member Price:  $122.40 
AMS Member Price:  $108.80 
eBook ISBN:  9781470446185 
Product Code:  ADVSOV/20.E 
List Price:  $136.00 
MAA Member Price:  $122.40 
AMS Member Price:  $108.80 
Hardcover ISBN:  9780821841204 
eBook ISBN:  9781470446185 
Product Code:  ADVSOV/20.B 
List Price:  $272.00 $204.00 
MAA Member Price:  $244.80 $183.60 
AMS Member Price:  $217.60 $163.20 

Book DetailsAdvances in Soviet MathematicsVolume: 20; 1994; 289 ppMSC: Primary 82
Physics has always been a fertile source of new mathematical notions and ideas, and in the past decade the stream of ideas from physics to mathematics has increased dramatically. The subfield of statistical mechanics is no exception. Containing papers written by representatives of the Moscow school of mathematical statistical mechanics, this volume illustrates certain aspects of the developing interaction between statistical mechanics on the one hand and the theories of probability and of dynamical systems on the other. Included here are papers on random walks, phase transition phenomena for Gibbs random fields, the existence of nonstandard motion integrals in statistical physics models, and the FrenkelKontorova model.
ReadershipGraduate students and researchers in mathematics and statistical physics.

Table of Contents

Articles

J. Abdullah — An extension of the Ising model

C. Boldrighini, R. A. Minlos and A. Pellegrinotti — Central limit theorem for the random walk of one and two particles in a random environment, with mutual interaction

R. A. Minlos — Random walk of a particle interacting with a random field

Roland L. Dobrushin and Senya B. Shlosman — Large and moderate deviations in the Ising model

B. M. Gurevich — Asymptotically additive integrals of motion for particles with nonpairwise interaction in dimension one

L. D. Pustyl$^\prime $nikov — On a ground state in the FrenkelKontorova model and metric properties of mappings of standard type


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Physics has always been a fertile source of new mathematical notions and ideas, and in the past decade the stream of ideas from physics to mathematics has increased dramatically. The subfield of statistical mechanics is no exception. Containing papers written by representatives of the Moscow school of mathematical statistical mechanics, this volume illustrates certain aspects of the developing interaction between statistical mechanics on the one hand and the theories of probability and of dynamical systems on the other. Included here are papers on random walks, phase transition phenomena for Gibbs random fields, the existence of nonstandard motion integrals in statistical physics models, and the FrenkelKontorova model.
Graduate students and researchers in mathematics and statistical physics.

Articles

J. Abdullah — An extension of the Ising model

C. Boldrighini, R. A. Minlos and A. Pellegrinotti — Central limit theorem for the random walk of one and two particles in a random environment, with mutual interaction

R. A. Minlos — Random walk of a particle interacting with a random field

Roland L. Dobrushin and Senya B. Shlosman — Large and moderate deviations in the Ising model

B. M. Gurevich — Asymptotically additive integrals of motion for particles with nonpairwise interaction in dimension one

L. D. Pustyl$^\prime $nikov — On a ground state in the FrenkelKontorova model and metric properties of mappings of standard type