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Scaling limits of bipartite planar maps are homeomorphic to the 2-sphere

J. F. Le Gall·F. Paulin
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Abstract

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.

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J. F. Le Gall, F. Paulin. 2006-12-15. Scaling limits of bipartite planar maps are homeomorphic to the 2-sphere. https://arxiv.org/abs/math/0612315

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