Intrinsical randomness of Kolmogorov Z(d)-actions on a Lebesgue space

Authors
Courbage, M Kaminski, B
Citation
M. Courbage et B. Kaminski, Intrinsical randomness of Kolmogorov Z(d)-actions on a Lebesgue space, J STAT PHYS, 97(3-4), 1999, pp. 781-792
Citations number
8
Categorie Soggetti
Physics
Journal title
JOURNAL OF STATISTICAL PHYSICS
ISSN journal
00224715 → ACNP
Volume
97
Issue
3-4
Year of publication
1999
Pages
781 - 792
Database
ISI
SICI code
0022-4715(199911)97:3-4<781:IROKZO>2.0.ZU;2-9
Abstract
We introduce a concept of an intrinsically weak and strong randomness of a Z(d)-action on a Lebesgue space and we show that Kolmogorov Z(d)-actions ar e intrinsically. weak random, and Bernoulli Z(d)-actions are intrinsically strong random.