ENGLISH

Dynamical systems, ergodic theory, and applications

By Ya.G. Sinai , L.A. Bunimovich , M.V. Jakobson , Yu.M. Sukhov , R.L. Dobrushin , N.B. Maslova , Ya.B. Pesin , A.M. Vershik , S.G. Dani , I.P. Kornfeld , J. Smillie

Book information

Publisher
Springer
Year
2000
ISBN
3540663169, 9783540663164
LCC
QA313 .D96 2000
Open Library ID
OL6897797M
Language
english
Format
DJVU
Filesize
4 MB (3725740 bytes)
Series
Encyclopaedia of mathematical sciences Mathematical physics 100., 1
Edition
2nd, expanded and rev. ed
Pages
467\467
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2009-07-20 03:45:11

Description

This EMS volume, the first edition of which was published as Dynamical Systems II, EMS 2, sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and its applications to dynamical systems and statistical mechanics. The exposition starts from the basic of the subject, introducing ergodicity, mixing and entropy. The ergodic theory of smooth dynamical systems is treated. Numerous examples are presented carefully along with the ideas underlying the most important results. Moreover, the book deals with the dynamical systems of statistical mechanics, and with various kinetic equations. For this second enlarged and revised edition, published as Mathematical Physics I, EMS 100, two new contributions on ergodic theory of flows on homogeneous manifolds and on methods of algebraic geometry in the theory of interval exchange transformations were added. This book is compulsory reading for all mathematicians working in this field, or wanting to learn about it.

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