Le Gall, Jean-François; Paulin, Frédéric Scaling limits of bipartite planar maps are homeomorphic to the 2-sphere. (English) Zbl 1166.60006 Geom. Funct. Anal. 18, No. 3, 893-918 (2008). Summary: 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. Cited in 2 ReviewsCited in 52 Documents MSC: 60D05 Geometric probability and stochastic geometry 05C80 Random graphs (graph-theoretic aspects) 53C22 Geodesics in global differential geometry 57R30 Foliations in differential topology; geometric theory PDFBibTeX XMLCite \textit{J.-F. Le Gall} and \textit{F. Paulin}, Geom. Funct. Anal. 18, No. 3, 893--918 (2008; Zbl 1166.60006) Full Text: DOI arXiv