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Ergodic Theory via Joinings
About this Title
Eli Glasner, Tel Aviv University, Tel Aviv, Israel
Publication: Mathematical Surveys and Monographs
Publication Year:
2003; Volume 101
ISBNs: 978-0-8218-3372-8 (print); 978-1-4704-1328-6 (online)
DOI: https://doi.org/10.1090/surv/101
MathSciNet review: MR1958753
MSC: Primary 37A15; Secondary 28Dxx, 37A25, 37A35, 37A45, 37B99, 54H20
Table of Contents
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Front/Back Matter
Part 1. General group actions
- 1. Topological dynamics
- 2. Dynamical systems on Lebesgue spaces
- 3. Ergodicity and mixing properties
- 4. Invariant measures on topological systems
- 5. Spectral theory
- 6. Joinings
- 7. Some applications of joinings
- 8. Quasifactors
- 9. Isometric and weakly mixing extensions
- 10. The Furstenberg-Zimmer structure theorem
- 11. Host’s theorem
- 12. Simple systems and their self-joinings
- 13. Kazhdan’s property and the geometry of $M_\Gamma (X)$
Part 2. Entropy Theory for Z-systems
- 14. Entropy
- 15. Symbolic representations
- 16. Constructions
- 17. The relation between measure and topological entropy
- 18. The Pinsker algebra, CPE and zero entropy systems
- 19. Entropy pairs
- 20. Krieger’s and Ornstein’s theorems
Appendix A. Prerequisite background and theorems