On démontre que les quadrangulations aléatoires infinies uniformes définies respectivement par Chassaing-Durhuus et par Krikun ont la même loi.
We prove that the uniform infinite random quadrangulations defined respectively by Chassaing-Durhuus and Krikun have the same distribution.
@article{AIHPB_2010__46_1_190_0,
author = {M\'enard, Laurent},
title = {The two uniform infinite quadrangulations of the plane have the same law},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
volume = {46},
year = {2010},
pages = {190-208},
doi = {10.1214/09-AIHP313},
mrnumber = {2641776},
zbl = {1201.60009},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPB_2010__46_1_190_0}
}
Ménard, Laurent. The two uniform infinite quadrangulations of the plane have the same law. Annales de l'I.H.P. Probabilités et statistiques, Tome 46 (2010) pp. 190-208. doi : 10.1214/09-AIHP313. http://gdmltest.u-ga.fr/item/AIHPB_2010__46_1_190_0/
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