Nous montrons que dans le cas de la percolation sur un graphe transitif la “condition du triangle” est équivalente à celle du “triangle ouvert”.
We show that for percolation on any transitive graph, the triangle condition implies the open triangle condition.
@article{AIHPB_2011__47_1_75_0,
author = {Kozma, Gady},
title = {The triangle and the open triangle},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
volume = {47},
year = {2011},
pages = {75-79},
doi = {10.1214/09-AIHP352},
mrnumber = {2779397},
zbl = {1221.60140},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPB_2011__47_1_75_0}
}
Kozma, Gady. The triangle and the open triangle. Annales de l'I.H.P. Probabilités et statistiques, Tome 47 (2011) pp. 75-79. doi : 10.1214/09-AIHP352. http://gdmltest.u-ga.fr/item/AIHPB_2011__47_1_75_0/
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