374 citations
- École Normale Supérieure de LyonFR33 papers
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10 papers · 1 filter
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…
Cugliandolo-Kurchan equations for dynamics of Spin-Glasses
Gerard Ben Arous, Amir Dembo, Alice Guionnet
We study the Langevin dynamics for the family of spherical -spin disordered mean-field models and prove that in the limit of system size approaching infinity, the empirical…
Some small cancellation properties of random groups
Yann Ollivier
We work in the density model of random groups. We prove that they satisfy an isoperimetric inequality with sharp constant depending upon the density parameter . This impl…
Kazhdan groups with infinite outer automorphism group
Yann Ollivier, Daniel T. Wise
For each countable group we produce a short exact sequence where is f.g. and has a graphical presentation and is f.g. and satisfies…