[Approximations de relations d'équivalence standard et percolation de Bernoulli à pu]
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 .
Le but de cette note est d'annoncer certains résultats d'équivalence orbitale, concernant notamment la notion d'approximation de relations d'équivalence standard préservant la mesure de probabilité par suites croissantes de sous-relations, avec application au comportement en de la percolation de Bernoulli sur les graphes de Cayley.
Accepté le :
Publié le :
Gaboriau, Damien 1 ; Tucker-Drob, Robin 2
@article{CRMATH_2016__354_11_1114_0,
author = {Gaboriau, Damien and Tucker-Drob, Robin},
title = {Approximations of standard equivalence relations and {Bernoulli} percolation at \protect\emph{p}\protect\textsubscript{\protect\emph{u}}},
journal = {Comptes Rendus. Math\'ematique},
pages = {1114--1118},
year = {2016},
publisher = {Elsevier},
volume = {354},
number = {11},
doi = {10.1016/j.crma.2016.09.011},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.crma.2016.09.011/}
}
TY - JOUR AU - Gaboriau, Damien AU - Tucker-Drob, Robin TI - Approximations of standard equivalence relations and Bernoulli percolation at pu JO - Comptes Rendus. Mathématique PY - 2016 SP - 1114 EP - 1118 VL - 354 IS - 11 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.crma.2016.09.011/ DO - 10.1016/j.crma.2016.09.011 LA - en ID - CRMATH_2016__354_11_1114_0 ER -
%0 Journal Article %A Gaboriau, Damien %A Tucker-Drob, Robin %T Approximations of standard equivalence relations and Bernoulli percolation at pu %J Comptes Rendus. Mathématique %D 2016 %P 1114-1118 %V 354 %N 11 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.crma.2016.09.011/ %R 10.1016/j.crma.2016.09.011 %G en %F CRMATH_2016__354_11_1114_0
Gaboriau, Damien; Tucker-Drob, Robin. Approximations of standard equivalence relations and Bernoulli percolation at pu. Comptes Rendus. Mathématique, Tome 354 (2016) no. 11, pp. 1114-1118. doi: 10.1016/j.crma.2016.09.011
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