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

Damien Gaboriau; Robin Tucker-Drob

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arXiv · 1509.00247

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

Damien Gaboriau·Robin Tucker-Drob

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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. Résumé en Français. Approximations de relations d'équivalence standards et percolation de Bernoulli à p\_u.

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Damien Gaboriau, Robin Tucker-Drob. 2015-09-01. Approximations of standard equivalence relations and Bernoulli percolation at p\_u. https://arxiv.org/abs/1509.00247

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