Dynamical Systems II: Ergodic Theory with Applications to Dynamical Systems and Statistical Mechanics
Author:   Ya G. Sinai
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   1989. 2nd Printing ed.
ISBN:  

9783540170013


Pages:   290
Publication Date:   November 1989
Format:   Hardback
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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Dynamical Systems II: Ergodic Theory with Applications to Dynamical Systems and Statistical Mechanics


Overview

Following the concept of the EMS series this volume sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and to its applications to dynamical systems and statistical mechanics. The exposition starts from the basic of the subject, introducing ergodicity, mixing and entropy. Then the ergodic theory of smooth dynamical systems is presented - hyperbolic theory, billiards, one-dimensional systems and the elements of KAM theory. Numerous examples are presented carefully along with the ideas underlying the most important results. The last part of the book deals with the dynamical systems of statistical mechanics, and in particular with various kinetic equations. This book is compulsory reading for all mathematicians working in this field, or wanting to learn about it.

Full Product Details

Author:   Ya G. Sinai
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1989. 2nd Printing ed.
ISBN:  

9783540170013


ISBN 10:   3540170014
Pages:   290
Publication Date:   November 1989
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Contents: Basic Notions of Ergodic Theory and Examples of Dynamical Systems.- Spectral Theory of Dynamical Systems.- Entropy Theory of Dynamical Systems.- Periodic Approximations and Their Applications. Ergodic Theorems, Spectral and Entropy Theory for the General Group Actions.- Trajectory Theory.- Bibliography.

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