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Weak Pinsker Joinings of Processes Satisfying the Weak Pinsker Property
Authors:J.-P. Thouvenot
Affiliation:(1) Laboratoire de Probabilités, 4, place Jussieu-tour 56, 75252 Paris cedex 05, France
Abstract:We show that when two transformations satisfy the weak Pinsker property, those among their joinings which also satisfy this property are dense. In particular, the 
$$bar d$$
-bar distance can be arbitrarily well approached while staying in the class.
Keywords:Measure-preserving transformations  entropy  joinings  weak Pinsker property
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