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

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

2007-06-22

arxiv.org/abs/0706.3334v1

Mathematics

Probability

25 pages, 2 figures

Scientific paper

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.

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