Advances in probability and related topics / Vol. 6, Multicomponent random systems ; edited by R.L. Dobrushin and Ya. G. Sinai ; contributing editor, D. Griffeath

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 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. Edited By R. L. Dobrushin And Ya G. Sinai ; Contributing Editor D. Griffeath. Originally Published In Russian. Includes Bibliographical References.