The distance-dependent two-point function of quadrangulations: a new derivation by direct recursion
Annales de l’Institut Henri Poincaré D, Tome 4 (2017) no. 2, pp. 213-244.

We give a new derivation of the distance-dependent two-point function of planar quadrangulations by solving a new direct recursion relation for the associated slice generating functions. Our approach for both the derivation and the solution of this new recursion is in all points similar to that used recently by the author in the context of planar triangulations.

Accepté le :
Publié le :
DOI : 10.4171/aihpd/39
Classification : 05-XX
Mots-clés : Planar maps, quadrangulations, two-point function 
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     author = {Guitter, Emmanuel},
     title = {The distance-dependent two-point function of quadrangulations: a new derivation by direct recursion},
     journal = {Annales de l{\textquoteright}Institut Henri Poincar\'e D},
     pages = {213--244},
     volume = {4},
     number = {2},
     year = {2017},
     doi = {10.4171/aihpd/39},
     zbl = {1401.05082},
     language = {en},
     url = {http://archive.numdam.org/articles/10.4171/aihpd/39/}
}
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Guitter, Emmanuel. The distance-dependent two-point function of quadrangulations: a new derivation by direct recursion. Annales de l’Institut Henri Poincaré D, Tome 4 (2017) no. 2, pp. 213-244. doi : 10.4171/aihpd/39. http://archive.numdam.org/articles/10.4171/aihpd/39/

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