%0 Journal Article
%T Le co£¿t est un invariant isop¨¦rim¨¦trique
%A Mikael Pichot
%A St¨¦phane Vassout
%J Mathematics
%D 2009
%I arXiv
%X 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. This follows recent result by Lyons and the authors.
%U http://arxiv.org/abs/0903.0911v2