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

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We 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.
25 pages, 2 figures

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Probability, 60F17, 60J80, 05J30

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http://salesiana.dossiersoluciones.com/handle/123456789/132273

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.3334
 http://arxiv.org/abs/0706.3334

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arXiv