Scaling limits of bipartite planar maps are homeomorphic to the 2-sphere
Abstract
Description
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.
22 pages Second version with minor typographical correction
22 pages Second version with minor typographical correction