ZERO ENTROPY AND DIRECTIONAL BERNOULLICITY OF A GAUSSIAN Z(2)-ACTION

Authors
FERENCZI S KAMINSKI B
Citation
S. Ferenczi et B. Kaminski, ZERO ENTROPY AND DIRECTIONAL BERNOULLICITY OF A GAUSSIAN Z(2)-ACTION, Proceedings of the American Mathematical Society, 123(10), 1995, pp. 3079-3083
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
123
Issue
10
Year of publication
1995
Pages
3079 - 3083
Database
ISI
SICI code
0002-9939(1995)123:10<3079:ZEADBO>2.0.ZU;2-R
Abstract
We give an example of a Gaussian Z(2)-action Phi with zero entropy whi ch is weakly mixing, rigid and such that every non-trivial measure-pre serving transformation Phi(g) defined by Phi, g is an element of Z(2), is a Bernoulli shift with infinite entropy.