On the sphericity of scaling limits of random planar quadrangulations

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dc.creatorMiermont, Grégory Marc
dc.date2007-12-21
dc.date.accessioned2026-07-07T08:51:43Z
dc.date.available2026-07-07T08:51:43Z
dc.descriptionWe give a new proof of a theorem by Le Gall & Paulin, showing that scaling limits of random planar quadrangulations are homeomorphic to the 2-sphere. The main geometric tool is a reinforcement of the notion of Gromov-Hausdorff convergence, called 1-regular convergence, that preserves topological properties of metric surfaces.
dc.description11pp, 1 figure
dc.identifierhttps://arxiv.org/abs/0712.3687
dc.identifierhttp://arxiv.org/abs/0712.3687
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145034
dc.subjectProbability
dc.subject60C05 ; 60F05 ; 60D05
dc.titleOn the sphericity of scaling limits of random planar quadrangulations
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