Mathematics-Dynamical Systems

Dynamical systems, ergodic theory, and applications

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Title (user) : Dynamical systems, ergodic theory, and applicationsTitle (google) : Dynamical Systems, Ergodic Theory and ApplicationsISBN : 3540663169,9783540663164DDC : 515/.42LCC : QA313 .D96 2000GoogleBook ID : uu-qeVBvQNECOpenLibrary ID : OL6897797M...
Description

Title (user) : Dynamical systems, ergodic theory, and applications

Title (google) : Dynamical Systems, Ergodic Theory and Applications

ISBN : 3540663169,9783540663164

DDC : 515/.42

LCC : QA313 .D96 2000

GoogleBook ID : uu-qeVBvQNEC

OpenLibrary ID : OL6897797M

Edition : 2nd, expanded and rev. ed

Series : Encyclopaedia of mathematical sciences Mathematical physics 100., 1

Authors (user) : 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

Authors (google) : 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

Publisher : Springer

Language : English

Publication Date : 2000

Scanned : yes (300 DPI)

File Format : djvu

Categories : Mathematics


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Description (user) :
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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Description (google) :
This EMS volume, the first edition of which was published as Dynamical Systems II, EMS 2, familiarizes the reader with the fundamental ideas and results of modern ergodic theory and its applications to dynamical systems and statistical mechanics. The enlarged and revised second edition adds two new contributions on ergodic theory of flows on homogeneous manifolds and on methods of algebraic geometry in the theory of interval exchange transformations.

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