Ergodic Theory and Dynamical Systems

Research Article

Stability of the weak Pinsker property for flows

Adam Fieldsteela1

a1 Department of Mathematics, Wesleyan University, Middletown, CT 06457, USA

Abstract

An ergodic flow is said to have the weak Pinsker property if it admits a decreasing sequence of factors whose entropies tend to zero and each of which has a Bernoulli complement. We show that this property is preserved under taking factors and d-limits. In addition, we show that a flow has the weak Pinsker property whenever one ergodic transformation in the flow has this property.

(Received June 03 1983)

(Revised September 13 1983)