Trees with product-form random weights

Konstantin Borovkov 1 Vladimir Vatutin 2
1 Department of Mathematics and Statistics [Melbourne]
2 Steklov Mathematical Institute
Abstract : We consider growing random recursive trees in random environment, in which at each step a new vertex is attached according to a probability distribution that assigns the tree vertices masses proportional to their random weights.The main aim of the paper is to study the asymptotic behavior of the mean numbers of outgoing vertices as the number of steps tends to infinity, under the assumption that the random weights have a product form with independent identically distributed factors.
Keywords : random recursive trees random environment Sptizer's condition distance to the root outdegrees
Type de document :
Communication dans un congrès
Chassaing, Philippe and others. Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, 2006, Nancy, France. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AG, Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, pp.423-426, 2006, DMTCS Proceedings
Liste complète des métadonnées

Littérature citée [4 références]  Voir  Masquer  Télécharger
https://hal.inria.fr/hal-01184695
Contributeur : Coordination Episciences Iam <>
Soumis le : lundi 17 août 2015 - 14:23:46
Dernière modification le : jeudi 11 mai 2017 - 01:03:04
Document(s) archivé(s) le : mercredi 18 novembre 2015 - 12:07:18

Fichier

dmAG0138.pdf
Fichiers éditeurs autorisés sur une archive ouverte

Identifiants

  • HAL Id : hal-01184695, version 1

Collections

INSMI | TDS-MACS

Citation

Konstantin Borovkov, Vladimir Vatutin. Trees with product-form random weights. Chassaing, Philippe and others. Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, 2006, Nancy, France. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AG, Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, pp.423-426, 2006, DMTCS Proceedings. 〈hal-01184695〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

39

Téléchargements de fichiers

98

Contact


archive-ouverte@inria.fr