Weak Pinsker property and Markov processes
Pinsker's conjecture was that every ergodic dynamical system can be written as the direct product of a K-system and a system of O-entropy. This was proved to be false by D. Ornstein. Then, J.-P. Thouvenot introduced a weaker notion, called weak Pinsker property: A system has this property if it can be written as the direct product of a Bernoulli and a system of arbitrary small entropy. It is the purpose of the paper to show that all the ergodic \({\mathbb{Z}}^ 2\)-Markov processes have this weak Pinsker property.
scientific article; zbMATH DE number 4000284