English

Approximations of standard equivalence relations and Bernoulli percolation at p\_u

Group Theory 2015-09-02 v1 Probability

Abstract

The goal of this note is to announce certain results in orbit equivalence theory, especially concerning the approximation of p.m.p. standard equivalence relations by increasing sequence of sub-relations, with applications to the behavior of the Bernoulli percolation on graphs at the threshold pu. R\'esum\'e en Fran\c{c}ais. Approximations de relations d'\'equivalence standards et percolation de Bernoulli \`a p\_u.

Keywords

Cite

@article{arxiv.1509.00247,
  title  = {Approximations of standard equivalence relations and Bernoulli percolation at p\_u},
  author = {Damien Gaboriau and Robin Tucker-Drob},
  journal= {arXiv preprint arXiv:1509.00247},
  year   = {2015}
}