195 citations
- École Normale Supérieure de LyonFR5 papers
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- Centre de Recherche en Mathématiques de la DécisionFR1 paper
- Courant Institute of Mathematical SciencesUS1 paper
- McMaster UniversityCA1 paper
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4 papers · 1 filter
Examples of Groups that are Measure Equivalent to the Free Group
Damien Gaboriau
Measure Equivalence (ME) is the measure theoretic counterpart of quasi-isometry. This field grew considerably during the last years, developing tools to distinguish between differe…
Sur les espaces mesures singuliers II - Etude spectrale
Mikael Pichot
We are mainly interested here in Kazhdan's property T for measured equivalence relations. Among our main results are characterizations of strong ergodicity and Kazhdan's property i…
Sur les espaces mesures singuliers I - Etude metrique-mesuree
Mikael Pichot
Recall Jones-Schmidt theorem that an ergodic measured equivalence relation is strongly ergodic if and only if it has no nontrivial amenable quotient. We give two new characterizati…
On Lorentz dynamics : From group actions to warped products via homogeneous spaces
Abdelouahab Arouche, Mohamed Deffaf, Abdelghani Zeghib
We show a geometric rigidity of isometric actions of non compact (semisimple) Lie groups on Lorentz manifolds. Namely, we show that the manifold has a warped product structure of a…