5 citations · 12 across the 5 of their papers we have counts for
5 papers · 1 filter
Stabilizers for ergodic actions and invariant random expansions of non-archimedean Polish groups
Colin Jahel, Matthieu Joseph
Let be a closed permutation group on a countably infinite set , which acts transitively but not highly transitively. If is oligomorphic, has no algebraicity and weakly e…
Amenable wreath products with non almost finite actions of mean dimension zero
Matthieu Joseph
Almost finiteness was introduced in the seminal work of Kerr as an dynamical analogue of Z-stability in the Toms-Winter conjecture. In this article, we provide the first examples o…
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…
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…
Continuum of allosteric actions for non-amenable surface groups
Matthieu Joseph
Let be a closed surface other than the sphere, the torus, the projective plane or the Klein bottle. We construct a continuum of p.m.p. ergodic minimal profinite actions for the…