Le co\^ut est un invariant isop\'erim\'etrique
Operator Algebras
2009-03-06 v2 Dynamical Systems
Group Theory
Abstract
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.
Keywords
Cite
@article{arxiv.0903.0911,
title = {Le co\^ut est un invariant isop\'erim\'etrique},
author = {Mikael Pichot and Stéphane Vassout},
journal= {arXiv preprint arXiv:0903.0911},
year = {2009}
}
Comments
5 pages