ENGLISH

Dynamical systems 02

By Ya.G. Sinai , L.A. Bunimovich , I.P. Cornfeld , M.V. Jakobson , Yu.M. Sukhov , R.L. Dobrushin , N.B. Maslova , Ya.B. Pesin , A.M. Vershik

Book information

Publisher
Springer
Year
1996
ISBN
3540170014, 9783540170013
Open Library ID
OL9054201M
Language
english
Format
DJVU
Filesize
2 MB (2056362 bytes)
Series
Encyclopaedia of Mathematical Sciences
Pages
285\285
Library
kolxoz
DPI
300
Scanned
yes
Time added
2009-07-20 03:45:11

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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