no. 1
The two uniform infinite quadrangulations of the plane have the same law
Annales de l'I.H.P. Probabilités et statistiques, Tome 46 (2010) no. 1, pp. 190-208.

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.

DOI : 10.1214/09-AIHP313
Classification : 60C05, 60J80, 05C30
Mots clés : random map, random tree, Schaeffer's bijection, uniform infinite planar quadrangulation, uniform infinite planar tree 
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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) no. 1, pp. 190-208. doi : 10.1214/09-AIHP313. http://www.numdam.org/articles/10.1214/09-AIHP313/

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