Publication Date
1982
Publication Place
New York -
Springer-Verlag, [1982].
Subject
Ergodic theory, Differentiable dynamical systems
Type
Book
Language
Arabic
Digital
No
Manuscript
No
Pages Count
486
Physical Dimensions
25 cm
Library
The Institute for Advanced Study (IAS)
Record ID
3100001~!494~!33
Library Location
Math Stacks
Date
1982
Notes
Includes bibliographical references (pages 475-482) and index.. 494. x, 486 pages ; 25 cm.
İçindekiler
Part I: Ergodicitiy and Mixing. Examples of dynamic systems -- Basic definitions of ergodic theory -- Smooth dynamical systems on smooth manifolds -- Smooth dynamical systems on the torus -- Dynamical systems of algebraic origin -- Interval exchange transformations -- Billiards -- Dynamical systems in number theory -- Dynamical systems in probability theory -- Examples of infinite dimensional dynamical systems -- Part II: Basic constructions of ergodic theory -- Simplest general constructions and elements of entropy theory of dynamical systems -- Special representations of flows -- Part III: Spectral theory of dynamical systems -- Dynamical systems with pure point specturm -- Examples of spectral analysis of dynamical systems -- Spectral analysis of Gauss dynamical systems -- Part IV: Approximation theory of dynamical systems by periodic dynamical systems and some of its applications -- Approximations of dynamical systems -- Special representations and approximations of smooth dynamical systems on the two-dimensional torus -- Appendix I: Lebesgue spaces and measurable partitions -- Appendix 2: Relevant facts from the spectral theory of unitary operators -- Appendix 3: Proof of the Birkhoff-Khinchin theorem -- Appendix 4: Kronecker sets.
ISBN
0387905804, 9780387905808, 3540905804, 9783540905806
Seri
Grundlehren der mathematischen Wissenschaften 245, Grundlehren der mathematischen Wissenschaften 245.