TY  - BOOK
AU  - SINAI,Grigorevich Iakov
TI  - Topics in Ergodic Theory 
T2  - Princeton Legacy Library
SN  - 9781400887255
PY  - 2017///
CY  - New Jersey : 
PB  - Princeton University Press, 
KW  - UDJG
KW  - DE-Matematică
N1  - vol. 44; Frontmatter; Contents; Preface
; Part I. General Ergodic Theory; Lecture 1. Measurable Transformations. Invariant Measures. Ergodic Theorems
; Lecture 2. Lebesgue Spaces and Measurable Partitions. Ergodicity and Decomposition into Ergodic Components. Spectrum of Interval Exchange Transformations
; Lecture 3. Isomorphism of Dynamical Systems. Generators of Dynamical Systems
; Lecture 4. Dynamical Systems with Pure Point Spectra
; Lecture 5. General Properties of Eigenfunctions and Eigenvalues of Ergodic Automorphisms. Isomorphism of Dynamical Systems with Pure Point Spectrum
; Part II. Entropy Theory of Dynamical Systems; Lecture 6. Entropy Theory of Dynamical Systems
; Lecture 7. Breiman Theorem. Pinsker Partition. K-Systems. Exact Endomorphisms. Gibbs Measures
; Lecture 8. Entropy of Dynamical Systems with Multidimensional Time. Systems of Cellular Automata as Dynamical Systems
; Part III. One-Dimensional Dynamics; Lecture 9. Continued Fractions and Farey Fractions
; Lecture 10. Homeomorphisms and Diffeomorphisms of the Circle
; Lecture 11. Sharkovski's Ordering and Feigenbaum's Universality
; Lecture 12. Expanding Mappings of the Circle
; Part IV. Two-Dimensional Dynamics; Lecture 13. Standard Map. Twist Maps. Periodic Orbits. Aubry-Mather Theory
; Lecture 14. Periodic Hyperbolic Points, Their Stable and Unstable Manifolds. Homoclinic and Heteroclinic Orbits
; Lecture 15. Homoclinic and Heteroclinic Points and Stochastic Layers
; Part V. Elements of the Theory of Hyperbolic Dynamical Systems; Lecture 16. Geodesic Flows and Their Generalizations. Discontinuous Dynamical Systems. Stable and Unstable Manifolds
; Lecture 17. Existence of Local Manifolds. Gibbs Measures
; Lecture 18. Markov Partitions. H-Theorem for Dynamical Systems. Elements of Thermodynamic Formalism
; Index

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