Eulerian triangulations: two-point function and hull perimeter statistics - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions Année : 2018

Eulerian triangulations: two-point function and hull perimeter statistics

Résumé

We present a new derivation of the distance-dependent two-point function for planar Eulerian triangulations and give expressions for more refined generating functions where we also control hull perimeters. These results are obtained in the framework of a new recursion relation for slice generating functions and extend similar results obtained recently for triangulations and quadrangulations. A number of explicit formulas are given for the statistics of hull perimeters in infinitely large random planar Eulerian triangulations.
Fichier principal
Vignette du fichier
eulerianhull.pdf (612.16 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01335525 , version 1 (22-06-2016)

Identifiants

Citer

Emmanuel Guitter. Eulerian triangulations: two-point function and hull perimeter statistics. Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, In press, ⟨10.4171/AIHPD/62⟩. ⟨hal-01335525⟩
190 Consultations
142 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More