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Random maps. (English) Zbl 1360.60029

Summary: This is a quick survey on some recent works done in the field of random maps, which, very roughly speaking, are graphs embedded without edge crossings in a surface. We present the main results and tools in this area then summarize the original contributions presented during the conference Journées MAS 2014.

MSC:

60D05 Geometric probability and stochastic geometry
05C10 Planar graphs; geometric and topological aspects of graph theory
60F17 Functional limit theorems; invariance principles
60J68 Superprocesses
60-02 Research exposition (monographs, survey articles) pertaining to probability theory