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The three-point function of general planar maps

Abstract : We compute the distance-dependent three-point function of general planar maps and of bipartite planar maps, i.e., the generating function of these maps with three marked vertices at prescribed pairwise distances. Explicit expressions are given for maps counted by their number of edges only, or by both their numbers of edges and faces. A few limiting cases and applications are discussed.
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https://hal-cea.archives-ouvertes.fr/cea-01010665
Contributor : Emmanuelle de Laborderie Connect in order to contact the contributor
Submitted on : Friday, June 20, 2014 - 11:22:54 AM
Last modification on : Monday, December 13, 2021 - 9:16:03 AM

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Éric Fusy, Emmanuel Guitter. The three-point function of general planar maps. Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2014, 14, pp.P09012. ⟨10.1088/1742-5468/2014/09/P09012⟩. ⟨cea-01010665⟩

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