Radius and profile of random planar maps with faces of arbitrary degrees

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dc.creatorMiermont, Grégory
dc.creatorWeill, Mathilde
dc.date2007-06-22
dc.date.accessioned2026-07-07T08:11:54Z
dc.date.available2026-07-07T08:11:54Z
dc.descriptionWe prove some asymptotic results for the radius and the profile of large random rooted planar maps with faces of arbitrary degrees. Using a bijection due to Bouttier, Di Francesco and Guitter between rooted planar maps and certain four-type trees with positive labels, we derive our results from a conditional limit theorem for four-type spatial Galton-Watson trees.
dc.description25 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0706.3334
dc.identifierhttp://arxiv.org/abs/0706.3334
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132273
dc.subjectProbability
dc.subject60F17, 60J80, 05J30
dc.titleRadius and profile of random planar maps with faces of arbitrary degrees
dc.typetext

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