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Author:   R.L. Dobrushin
Publisher:   Springer
Imprint:   Kluwer Academic Publishers
Edition:   1986 ed.
Volume:   6
Dimensions:   Width: 15.60cm , Height: 1.90cm , Length: 23.40cm
Weight:   0.572kg
ISBN:  

9789027721839

ISBN 10:   9027721831
Pages:   280
Publication Date:   31 October 1986
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Phase Diagrams for Continuous-Spin Models: An Extension of the Pirogov-Sinai Theory.- 1. Formulation of the Main Result.- 2. Preliminaries.- 3. The Main Lemma.- 4. Proof of the Main Lemma.- References.- Space-Time Entropy of Infinite Classical Systems.- 1. Introduction.- 2. Statistical Estimates of the Gibbs Distribution.- 3. Reduction to Partial Flows.- 4. Estimate of Space-Time Entropy.- References.- Spectrum Analysis and Scattering Theory for a Three-Particle Cluster Operator.- 1. Introduction. A General Definition of the Cluster Operator.- 2. Three-Particle Cluster Operators.- 3. Equations for the Resolvent of a Self-Adjoint Three-Particle Cluster Operator.- 4. Study of Equations (3.4)–(3.6).- 5. The Main Result.- 6. Proof of Theorem 5.11 (Scattering Theory).- References.- Stochastic Attractors and their Small Perturbations.- 1. Introduction.- 2. Dynamical Systems with Stochastic Attractors.- 3. Stochastic Perturbations (Regular Case).- 4. The Law of Exponential Decay and Small Stochastic Perturbations.- 5. Stochastic Perturbations (Singular Case).- 6. Small Quasi-Stochastic Perturbations.- 7. Ergodic Properties of Dynamical System Discretizations.- References.- Statistical Properties of Smooth Smale Horseshoes.- 1. General Background.- 2. Expanding and Contracting Fibrations of a Smale Horseshoe.- 3. Smooth Invariant Conditional Probability Distributions on Fibrations.- 4. Smooth Non-Singular Probability Distributions on a Smale Horseshoe.- 5. A Natural Invariant Probability Distribution on the Hyperbolic Set of a Smale Horseshoe.- 6. Some Properties of the Constructed Limit Probability Distributions on a Smale Horseshoe.- 7. Evolution of Probability Distributions on a Smale Horseshoe.- 7.1. Asymptotic Inequalities for Measures and Integrals.- 7.2. TheAsymptotics of Integrals.- 7.3. Mappings Which Possess a Smale Horseshoe.- Appendix:Ergodic Properties of Positive Matrices with Bounded Ratio of Rows.- References.- Author Index.

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