Table des matières: Dynamical systems, ergodic theory and applications

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Détails bibliographiques
Autres auteurs :	Sinai Yakov Grigorevich (Éditeur scientifique)
Format :	Livre
Langue :	anglais
Titre complet :	Dynamical systems, ergodic theory and applications / L.A. Bunimovich, S.G. Dani, R.L. Dobrushin,... [et al.]; ed. by Ya. G. Sinai
Édition :	2nd, expanded and rev. ed.
Publié :	Berlin, Heidelberg, New York [etc.] : Springer , cop. 2000
Description matérielle :	1 vol. (X-459 p.)
Collection :	Encyclopaedia of mathematical sciences ; 100 Mathematical physics ; 1
Sujets :	Théorie ergodique Systèmes dynamiques

I. General ergodic theory of groups of measure preserving transformations
Chapter 1. Basic notions of Ergodic theory and examples of dynamical systems / I.P. Kornfeld, Ya G. Sinai
Chapter 2. Spectral theory of dynamical systems/ I.P. Kornfeld, Ya G. Sinai
Chapter 3. Entropy theory of dynamical systems / I.P. Kornfeld, Ya G. Sinai
Chapter 4. Periodic approximations and their applications. Ergodic theorems, spectral and entropy theory for the general group actions / I.P. Kornfeld, A. M. Vershik
Chapter 5.Trajectory theory / A.M. Vershik
II. Ergodic theory of smooth dynamical systems
Chapter 6. Stochasticity of smooth dynamical systems. The elements of KAM-theory / Ya G. Sinai
Chapter 7. General theory of smooth hyperbolic dynamical systems / Ya B. Pesin
Chapter 8. Billiards and other hyperbolic systems / L.A. Bunimovich
Chapter 9. Ergodic theory of one-dimensional mappings / M.V. Jakobson
III. Dynamical systems on homogeneous spaces
Chapter 10. Dynamical systems on homogeneous spaces / S.G. Dani
IV. The dynamics of billiards flows in rational polygons
Chapter 11. The dynamics of billiards flows in rational polygons / J. Smillie
V. Dynamical systems of statistical mechanics and kinetic equations
Chapter 12. Dynamical systems of statistical mechanics / R.L. Dobrushin, Ya G. Sinai, Yu M. Sukhov
Chapter 13. Existence and uniqueness theorems for the Boltzmann equation / N.B. Maslova