Mathematics – Probability
Scientific paper
2006-12-12
Mathematics
Probability
22 pages Second version with minor typographical correction
Scientific paper
We prove that scaling limits of random planar maps which are uniformly
distributed over the set of all rooted 2k-angulations are a.s. homeomorphic to
the two-dimensional sphere. Our methods rely on the study of certain random
geodesic laminations of the disk.
Le Gall J. F.
Paulin Frédéric
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