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math.DS2022
Isometric orbit equivalence for probability-measure preserving actions
Matthieu Joseph
We study probability-measure preserving (p.m.p.) actions of finitely generated groups via the graphings they define. We introduce and study the notion of isometric orbit equivalenc…
math.DS2022★ 4 cited
Belinskaya's theorem is optimal
Alessandro Carderi, Matthieu Joseph, François Le Maître +1
Belinskaya's theorem states that given an ergodic measure-preserving transformation, any other transformation with the same orbits and an cocycle must be flip-conjug…