Product of two staircase rank one transformations that is not loosely Bernoulli

Adam Kanigowski (1) , Thierry de La Rue (2)

1 University of Maryland [Baltimore]
2 LMRS - Laboratoire de Mathématiques Raphaël Salem

We construct two staircase rank one transformations whose Cartesian product is not loosely Bernoulli.

Mots clés: loosely Bernoulli; staircase rank-one transformation

Domaines: Systèmes dynamiques [math.DS]

Adam Kanigowski, Thierry de La Rue. Product of two staircase rank one transformations that is not loosely Bernoulli. Journal d'analyse mathématique, 2021, ⟨10.1007/s11854-021-0162-7⟩. ⟨hal-01958522v2⟩