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- W1955583872 abstract "For every integer $ngeq 1$, we consider a random planar map $mathcal{M}_n$ which is uniformly distributed over the class of all rooted bipartite planar maps with $n$ edges. We prove that the vertex set of $mathcal{M}_n$ equipped with the graph distance rescaled by the factor $(2n)^{-1/4}$ converges in distribution, in the Gromov-Hausdorff sense, to the Brownian map. This complements several recent results giving the convergence of various classes of random planar maps to the Brownian map." @default.
- W1955583872 created "2016-06-24" @default.
- W1955583872 creator A5004550566 @default.
- W1955583872 date "2013-12-20" @default.
- W1955583872 modified "2023-09-27" @default.
- W1955583872 title "Rescaled bipartite planar maps converge to the Brownian map" @default.
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