Dynamical systems, ergodic theory and applications

著者

• Sinai, I︠A︡. G.
• Bunimovich, L. A.

書誌事項

Dynamical systems, ergodic theory and applications

L.A. Bunimovich ... [et al.] ; edited by Ya.G. Sinai

（Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze, v. 100 . Mathematical physics ; 1）

Springer-Verlag, c2000

2nd, expanded and rev. ed

注記

1st ed. of this book: Encyclopaedia of mathematical sciences v. 2 . Dynamical systems ; 2

Includes bibliographical references and index

内容説明・目次

内容説明

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.

目次

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

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA46324332
• ISBN:
  • 3540663169
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 原本言語コード: rus
• 出版地: Berlin ; Tokyo
• ページ数/冊数: x, 459 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QA805
  • DC19 : 531
  • NDC9 : 423.35
  • NDC9 : 423.1
• 件名:
  • LCSH : Mechanics, Analytic
  • LCSH : Mechanics, Celestial
  • LCSH : Differentiable dynamical systems
• 親書誌ID:
  • BA01321819