Le co\^ut est un invariant isop\'erim\'etrique (2009)
Pichot, Mikael, Vassout, Stéphane
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...
Le coût est un invariant isopérimétrique (2009)
Pichot, Mikael, Vassout, Stéphane
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...
Le coût est un invariant isopérimétrique (2009)
Pichot, Mikael, Vassout, Stéphane
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...
Le coût est un invariant isopérimétrique (2009)
Pichot, Mikael, Vassout, Stéphane
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...
Le coût est un invariant isopérimétrique (2009)
Pichot, Mikael, Vassout, Stéphane
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...
Uniform non-amenability, cost, and the first l^2-Betti number (2007)
Lyons, Russell, Pichot, Mikaël, Vassout, Stéphane
It is shown that $2\beta_1(\G)\leq h(\G)$ for any countable group $\G$, where $\beta_1(\G)$ is the first $\ell^2$-Betti number and $h(\G)$ the uniform isoperimetric constant. In particular, a...