Le coût est un invariant isopérimétrique

Details Le coût est un invariant isopérimétrique Le coût est un invariant isopérimétrique

2009-03-05

arxiv.org/abs/0903.0911v2

Mathematics

Operator Algebras

5 pages

Scientific paper

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.

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