4 papers
math.GR2012
La propriete de decroissance rapide pour le groupe de Wise
Sylvain Barre, Mikael Pichot
We show that the group of presentation (introduced by D. Wise) has the property of rapid decay.
math.OA2009
Le coût est un invariant isopérimétrique
Mikael Pichot, Stéphane Vassout
For a type II_1 ergodic measured equivalence relation R on a probability space without atom, we prove that h(R)=2C(R)-2, where C(R) is the cost, and h(R) the isoperimetric constant…
math.DS2004
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…
math.DS2004
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…