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February 2010 The two uniform infinite quadrangulations of the plane have the same law
Laurent Ménard
Ann. Inst. H. Poincaré Probab. Statist. 46(1): 190-208 (February 2010). DOI: 10.1214/09-AIHP313

Abstract

We prove that the uniform infinite random quadrangulations defined respectively by Chassaing–Durhuus and Krikun have the same distribution.

On démontre que les quadrangulations aléatoires infinies uniformes définies respectivement par Chassaing–Durhuus et par Krikun ont la même loi.

Citation

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Laurent Ménard. "The two uniform infinite quadrangulations of the plane have the same law." Ann. Inst. H. Poincaré Probab. Statist. 46 (1) 190 - 208, February 2010. https://doi.org/10.1214/09-AIHP313

Information

Published: February 2010
First available in Project Euclid: 1 March 2010

zbMATH: 1201.60009
MathSciNet: MR2641776
Digital Object Identifier: 10.1214/09-AIHP313

Subjects:
Primary: 05C30 , 60C05 , 60J80

Keywords: Random map , Random tree , Schaeffer’s bijection , Uniform infinite planar quadrangulation , Uniform infinite planar tree

Rights: Copyright © 2010 Institut Henri Poincaré

Vol.46 • No. 1 • February 2010
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