Structure of Stable Sand Piles Model

Abstract : In this paper we study a variant of the Sand Piles Model, where the evolution rule consists of the falling down of one grain to a random column and an avalanche to reach a stable configuration. We prove that the infinite set of all stable configurations have a lattice structure which is a sublattice of Young lattice. At the end, based on a discussion about avalanches, we construct a generating tree of this model and show its strongtly recursive structure.
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.407-410, 2006, DMTCS Proceedings
Liste complète des métadonnées

Littérature citée [7 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/hal-01184697
Contributeur : Coordination Episciences Iam <>
Soumis le : lundi 17 août 2015 - 14:23:57
Dernière modification le : jeudi 15 novembre 2018 - 20:26:56
Document(s) archivé(s) le : mercredi 18 novembre 2015 - 12:07:42

Fichier

dmAG0134.pdf
Fichiers éditeurs autorisés sur une archive ouverte

Identifiants

  • HAL Id : hal-01184697, version 1

Collections

Citation

Thi Ha Duong Phan, Thi Thu Huong Tran. Structure of Stable Sand Piles Model. 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.407-410, 2006, DMTCS Proceedings. 〈hal-01184697〉

Partager

Métriques

Consultations de la notice

68

Téléchargements de fichiers

172