Plane recursive trees, Stirling permutations and an urn model - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Discrete Mathematics and Theoretical Computer Science Année : 2008

Plane recursive trees, Stirling permutations and an urn model

Svante Janson
  • Fonction : Auteur
  • PersonId : 830454

Résumé

We exploit a bijection between plane recursive trees and Stirling permutations; this yields the equivalence of some results previously proven separately by different methods for the two types of objects as well as some new results. We also prove results on the joint distribution of the numbers of ascents, descents and plateaux in a random Stirling permutation. The proof uses an interesting generalized Pólya urn.
Fichier principal
Vignette du fichier
dmAI0137.pdf (168.93 Ko) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte
Loading...

Dates et versions

hal-01194667 , version 1 (07-09-2015)

Identifiants

Citer

Svante Janson. Plane recursive trees, Stirling permutations and an urn model. Fifth Colloquium on Mathematics and Computer Science, 2008, Kiel, Germany. pp.541-548, ⟨10.46298/dmtcs.3590⟩. ⟨hal-01194667⟩

Collections

TDS-MACS
72 Consultations
521 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More