Ergodic Theory And Dynamical Systems
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.
Aimee S.A. Johnson and A. A. Şahin.
"Rank One And Loosely Bernoulli Actions In Zᵈ".
Ergodic Theory And Dynamical Systems.