Local structure of random quadrangulations

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dc.creatorKrikun, Maxim
dc.date2005-12-14
dc.date2006-10-10
dc.date.accessioned2026-07-07T06:55:13Z
dc.date.available2026-07-07T06:55:13Z
dc.descriptionThis paper is an adaptation of a method used in \cite{K} to the model of random quadrangulations. We prove local weak convergence of uniform measures on quadrangulations and show that the local growth of quadrangulation is governed by certain critical time-reversed branching process and the rescaled profile converges to the reversed continuous-state branching process. As an intermediate result we derieve a biparametric generating function for certain class of quadrangulations with boundary.
dc.description23 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/math/0512304
dc.identifierhttp://arxiv.org/abs/math/0512304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106211
dc.subjectProbability
dc.subject60C05, 60J80
dc.titleLocal structure of random quadrangulations
dc.typetext

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