Dynamical Systems, Ergodic Theory and Applications

2. exp. and rev. Auflage 2000
ISBN: 978-3-540-66316-4
Verlag: Springer

Buch, Englisch, 460 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1850 g

Reihe: Encyclopaedia of Mathematical Sciences

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.

Zielgruppe

Research

Autoren/Hrsg.

Bunimovich, L.A.

Dani, S.G.

Dobrushin, R.L.

Jakobson, M.V.

Kornfeld, I.P.

Maslova, N.B.

Pesin, Ya.B.

Sinai, Ya.G.

Smillie, J.

Sukhov, Yu.M.

Vershik, A.M.

Fachgebiete

• Naturwissenschaften Physik Quantenphysik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

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