Encyclopaedia of Mathematical Sciences

Dynamical Systems, Ergodic Theory and Applications

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

Editors: Sinai, Ya.G. (Ed.)

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Hardcover $189.00
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  • ISBN 978-3-540-66316-4
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Softcover $189.00
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  • ISBN 978-3-642-08561-1
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About this book

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.

Reviews

"... The list of topics gives some idea of the impressive scope of this volume, and the comprehensive bibliographies represent the state of knowledge right up to the late 1990's. ... This survey is much more than a place where one can quickly look up the current state of knowledge on a particular topic or get an idea about the scope of a branch of the theroy. It is also highly recommended and fascinating reading for experts in the subject: the individual chapters are written by top experts inthe field, whose insights and illuminating remarks will reward readers at any level of expertise. The coverage of both 'mathematical' and 'physical' aspects of the theory in a single volume and from a reasonably unified point of view is another very attractive and quite unique feature of this volume."

K.Schmidt, Wien, Monathshefte für Mathematik, Vol. 139, Issue 4, p.351, 2003

"... This Encyclopaedia volume is indeed (as the publisher writes on the back-cover of the book) compulsory reading for all mathematicians working in this field, or wanting to learn about it."

W.T.van Horssen, ZAMM 82 (2002), Issue 8


Buy this book

Hardcover $189.00
price for USA
  • ISBN 978-3-540-66316-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-3-642-08561-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.

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Bibliographic Information

Bibliographic Information
Book Title
Dynamical Systems, Ergodic Theory and Applications
Authors
Editors
  • Ya.G. Sinai
Series Title
Encyclopaedia of Mathematical Sciences
Series Volume
100
Copyright
2000
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
Hardcover ISBN
978-3-540-66316-4
Softcover ISBN
978-3-642-08561-1
Series ISSN
0938-0396
Edition Number
2
Number of Pages
XI, 460
Additional Information
Originally published as volume 2 in the series: Encyclopaedia of Mathematical Sciences with the title: Dynamical Systems II
Topics