An extension which is relatively twofold mixing but not threefold mixing

Thierry de La Rue (1)

1 LMRS - Laboratoire de Mathématiques Raphaël Salem

We give an example of a dynamical system which is mixing relative to one of its factors, but for which relative mixing of order three does not hold.

Mots clés: relative mixing; threefold mixing; factor; extension

Domaines: Probabilités [math.PR]

Thierry de La Rue. An extension which is relatively twofold mixing but not threefold mixing. Colloquium Mathematicum, 2004, 101, pp.271-277. ⟨hal-00002317⟩