The local limit of unicellular maps in high genus

DOI10.1214/ECP.v18-3037zbMath1310.60002arXiv1309.6254OpenAlexW1978887346MaRDI QIDQ743060

Gourab Ray, Nicolas Curien, Guillaume Chapuy, Omer Angel

Publication date: 22 September 2014

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.6254

zbMATH Keywords

hyperboliclocal limitunicellular mapshigh genus

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Convergence of probability measures (60B10)

Related Items (10)

Planarity and non-separating cycles in uniform high genus quadrangulations ⋮ Local limits of bipartite maps with prescribed face degrees in high genus ⋮ Large expanders in high genus unicellular maps ⋮ Short cycles in high genus unicellular maps ⋮ Unicellular maps vs. hyperbolic surfaces in large genus: simple closed curves ⋮ The mesoscopic geometry of sparse random maps ⋮ Large unicellular maps in high genus ⋮ Local limits of uniform triangulations in high genus ⋮ Unimodular hyperbolic triangulations: circle packing and random walk ⋮ Planar stochastic hyperbolic triangulations

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