Approximations of standard equivalence relations and Bernoulli percolation at p_u

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. Approximations of standard equivalence relations and Bernoulli percolation at p_u. C.R. Acad. Sci., Paris, Série I, 2016, ⟨10.1016/j.crma.2016.09.011⟩. ⟨ensl-01188732⟩

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