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

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math.PR2016

Subordination of trees and the Brownian map

Jean-François Le Gall

We discuss subordination of random compact R-trees. We focus on the case of the Brownian tree, where the subordination function is given by the past maximum process of Brownian mot…

math.PR2006★ 10 cited

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

J. F. Le Gall, F. Paulin

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. Ou…