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.
Complete list of metadatas

https://hal-cea.archives-ouvertes.fr/cea-01010665
Contributor : Emmanuelle de Laborderie <>
Submitted on : Friday, June 20, 2014 - 11:22:54 AM
Last modification on : Thursday, July 18, 2019 - 10:30:05 AM

Links full text

Identifiers

Collections

Citation

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⟩

Share

Metrics

Record views

203