Open AccessApproximations of standard equivalence relations and Bernoulli percolation at <i>p</i><sub><i>u</i></sub>
Author(s) -
Damien Gaboriau,
Robin Tucker-Drob
Publication year - 2016
Publication title -
hal (le centre pour la communication scientifique directe)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.803
H-Index - 68
eISSN - 1778-3569
pISSN - 1631-073X
DOI - 10.1016/j.crma.2016.09.011
Subject(s) - mathematics , bernoulli's principle , equivalence relation , equivalence (formal languages) , cayley graph , combinatorics , discrete mathematics , graph , physics , thermodynamics
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 sequences of sub-relations, with application to the behavior of the Bernoulli percolation on Cayley graphs at the threshold pu
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