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arXiv · 0903.0911

Le coût est un invariant isopérimétrique

Mikael Pichot·Stéphane Vassout
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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.

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Mikael Pichot, Stéphane Vassout. 2009-03-06. Le coût est un invariant isopérimétrique. https://arxiv.org/abs/0903.0911

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