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This title in other editions

Dynamical Systems, Ergodic Theory, and Applications

by

Dynamical Systems, Ergodic Theory, and Applications Cover

 

Synopses & Reviews

Publisher Comments:

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.

Description:

Includes bibliographical references and index.

Table of Contents

I. General Ergodic Theory of Groups of Measure Preserving Transformations (contributions by I.P.Kornfeld, Ya.G.Sinai, and A.M.Vershik).- II. Ergodic Theory of Smooth Dynamical Systems (contributions by L.A.Bunimovich, M.V.Jakobson, Y.B.Pesin, and Ya.G.Sinai).- III. Dynamical Systems on Homogeneous Spaces (by S.G.Dani).- IV. The Dynamics of Billiard Flows in Rational Polygons (by J.Smillie).- V. Dynamical Systems of Statistical Mechanics and Kinetic Equations (contributions by R.L.Dobrushin, N.B.Maslova, Ya.G.Sinai, and Yu.M.Sukhov).- References.- Subject Index

Product Details

ISBN:
9783540663164
Other:
Bunimovich, L. a.
Publisher:
Springer
Author:
Sukhov, Yu.M.
Author:
Dobrushin, R. L.
Author:
Smillie, J.
Author:
Kornfeld, I.P.
Author:
Dani, S. G.
Author:
Jakobson, M.V.
Author:
Vershik, A. M.
Author:
Pesin, Ya B.
Author:
Maslova, N.B.
Author:
Bunimovich, L. a.
Author:
Sinai, Ya G.
Location:
Berlin
Subject:
General
Subject:
Calculus
Subject:
Differentiable dynamical systems
Subject:
Ergodic theory
Subject:
Mâecanique câeleste
Subject:
Thâeorie ergodique
Subject:
Mâecanique analytique
Subject:
Mathematical Analysis
Subject:
Functional Analysis
Subject:
DYNAMICAL SYSTEMS
Subject:
ergodic theorem
Subject:
Hyperbolicity
Subject:
invariant measure
Subject:
spectrum of dynamical systems
Subject:
Real functions
Subject:
Manifolds and Cell Complexes (incl. Diff.Topology)
Subject:
Statistical Physics, Dynamical Systems and Complexity
Subject:
Statistical Physics, Dynamical Systems and Complexity This EMS volume is at the cutting edge of research, the authors being the best of the best
Subject:
Mathematics-Calculus
Copyright:
Edition Number:
2
Edition Description:
2nd exp. and rev. ed. 2000
Series:
Encyclopaedia of Mathematical Sciences
Series Volume:
37
Publication Date:
20000511
Binding:
HARDCOVER
Language:
English
Illustrations:
Yes
Pages:
472
Dimensions:
235 x 155 mm 1850 gr

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