๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Dynamical systems, ergodic theory, and applications

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

Book ID
127429059
Publisher
Springer
Year
2000
Tongue
English
Weight
4 MB
Series
Encyclopaedia of mathematical sciences Mathematical physics 100., 1
Edition
2nd, expanded and rev. ed
Category
Library
City
Berlin; New York
ISBN-13
9783540663164

No coin nor oath required. For personal study only.

โœฆ Synopsis

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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