Scaling limits of bipartite planar maps are homeomorphic to the 2-sphere
Probability
2007-05-23 v2 Combinatorics
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.
Cite
@article{arxiv.math/0612315,
title = {Scaling limits of bipartite planar maps are homeomorphic to the 2-sphere},
author = {J. F. Le Gall and F. Paulin},
journal= {arXiv preprint arXiv:math/0612315},
year = {2007}
}
Comments
22 pages Second version with minor typographical correction