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Multicomponent random systems

Author: R L Dobrushin; I︠A︡ G Sinaĭ; David Griffeath
Publisher: New York and Basel : Marcel Dekker Inc., [1980]. ©1980
Series: Advances in probability and related topics, v. 6.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"The present book contains a set of original scientific researches devoted to various problems of the theory of dynamical systems and multicomponent random systems, both theoretical and motivated by concrete applications." - Preface
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Additional Physical Format: Online version:
Multicomponent random systems.
New York : Marcel Dekker, ©1980
(OCoLC)698051654
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: R L Dobrushin; I︠A︡ G Sinaĭ; David Griffeath
ISBN: 0824768310 9780824768317
OCLC Number: 6446786
Language Note: "The contributions to this volume are the work of mathematicians connected with the Institute for Information Transmission Problems in Moscow. The original versions were in Russian. Preliminary translations into English were provided by the authors, but many cases there remained an extensive job of completing the translations." - Note From The Editors
Description: xi, 606 pages : illustrations ; 25 cm.
Contents: Cluster estimates for Gibbs random fields and some applications / F.H. Abdulla-Zadeh, R.A. Minlos, and S.K. Pogosian --
Stationary and ergodicity of Markov interacting processes / V. Ya. Basis --
[Set] Expansion for automodel random fields / P.M. Bleher --
Gaussian random fields --
Gibbsian point of view / R.L. Dobrushin --
Automodel generalized random fields and their renorm-group / R.L. Dobrushin --
Nonexistence of one- and two-dimensional Gibbs fields with noncompact group of continuous symmetries / R.L. Dobrushin and S.B. Shlosman --
Analiticity of correlation functions for latice systems with nonfinite potentional in the multiphased case / V.M. Gertzik --
Asymptotic properties of the product of random matrices depending on a parameter / I. Ja. Goldsheid --
Symmetrical random walks on discrete groups / R.I. Grigorchuk --
Stationary random sequences of maximal entropy / B.M. Gurevich --
Markov partitions for rational endomorphisms of the Riemann sphere / M.V. Jakobson --
The existence of the limiting distributions in some networks with communication of messages / M.J. Kel'bert --
The spectrum of small random perturbations of dynamical systems / Yu. I. Kifer --
Reversible Markov chains with local interaction / O. Kozlov and N. Vasilyev --
An algorithm-theoretic method for the study of uniform random networks / G.I. Kurdumov --
Complete cluster expansions for weakly coupled Gibbs random fields / V.A. Malyshev --
The central limit theorem for random fields with mixing property / B.S. Nahapetian --
Stable and attractive trajectories in multicomponent systems / One system of automata with local interactions / S.S. Vallander --
Some results of numerical experiements relevant to the spectrum of one-dimensional Schrödinger equation with random potential / E.B. Vul --
A structurally stable mechanism of appearance of invariant hyperbolic sets / E.B. Vul and Ya. G. Sinai.
Series Title: Advances in probability and related topics, v. 6.
Responsibility: edited by R.L. Dobrushin and Ya G. Sinai, Institute for Information Transmission Pronlems and Landau Institute of Theoretical Physics, Academy of Sciences, Moscow, USSR ; contributing editor D. Griffeath, series editor Peter Ney.

Abstract:

"The present book contains a set of original scientific researches devoted to various problems of the theory of dynamical systems and multicomponent random systems, both theoretical and motivated by concrete applications." - Preface

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