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Danilenko and Kyewon K . Park , Generators and Bernoullian factors for amenable actions and cocycles on their orbits , Ergodic Theory Dynam
- Publisher
- Springer Journals
- Copyright
- Copyright © 2006 by Springer-Verlag Berlin Heidelberg
- Subject
- Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
- ISSN
- 1678-7544
- eISSN
- 1678-7714
- DOI
- 10.1007/s00574-006-0024-z
- Publisher site
- See Article on Publisher Site
Abstract
V.A. Rohlin asked in 1949 whether 2-fold mixing implies 3-fold mixing for a stationary process (ξ i ) i2ℤ, and the question remains open today. In 1978, F. Ledrappier exhibited a counterexample to the 2-fold mixing implies 3-fold mixing problem, the socalled 3-dot system, but in the context of stationary random fields indexed by ℤ2.
Journal
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Jan 1, 2006