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Equivalence of measure preserving transformations
About this Title
Donald S. Ornstein, Daniel J. Rudolph and Benjamin Weiss
Publication: Memoirs of the American Mathematical Society
Publication Year:
1982; Volume 37, Number 262
ISBNs: 978-0-8218-2262-3 (print); 978-1-4704-0669-1 (online)
DOI: https://doi.org/10.1090/memo/0262
MathSciNet review: 653094
MSC: Primary 28D05; Secondary 28D20
Table of Contents
Chapters
- Equivalence
- 1. Equivalence
- 2. The $f$-metric
- 3. Finitely fixed processes
- 4. The equivalence theorem–I
- 5. The equivalence theorem–II
- 6. Loosely Bernoulli transformations
- 7. Back to flows and skew products
- 8. Transformations with finite rank
- Non-equivalence
- 9. Infinite entropy and various complements
- 10. Feldman’s example
- 11. $J^f$ is not isomorphic to $J$
- 12. $J$ and $J^{-1}$ are not equivalent and uncountably many nonequivalent $0$-entropy transformations
- 13. Uncountably many pairwise nonequivalent transformations of finite and infinite entropy
- 14. A loosely Bernoulli $T$ for which $T\times T$ is not loosely Bernoulli