ENGLISH

Dynamical systems: Ergodic theory with applications to dynamical systems and statistical mechanics

By Ya.G. Sinai

Book information

Publisher
Springer
Year
1989
ISBN
3540170014, 9783540170013
Google Books ID
P1fvAAAAMAAJ
Open Library ID
OL9054201M
Language
english
Format
PDF
Filesize
15 MB (16085958 bytes)
Series
Encyclopaedia of Mathematical Sciences, 2
Pages
286\286
Orientation
yes
Scanned
yes
Time added
2012-02-04 16:00:00

Description

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.

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