Document Type
Article
Publication Date
10-1-1998
Published In
Ergodic Theory And Dynamical Systems
Abstract
We define rank one for Zᵈ actions and show that those rank one actions with a certain tower shape are loosely Bernoulli for d greater than or equal to 1. We also construct a zero entropy Z² loosely Bernoulli action with a zero entropy, ergodic, non-loosely Bernoulli one-dimensional subaction.
Recommended Citation
Aimee S.A. Johnson and A. A. Şahin.
(1998).
"Rank One And Loosely Bernoulli Actions In Zᵈ".
Ergodic Theory And Dynamical Systems.
Volume 18,
Issue 5.
1159-1172.
DOI: 10.1017/s0143385798117534
https://works.swarthmore.edu/fac-math-stat/4
Comments
This work is freely available courtesy of Cambridge University Press.