Results and conjectures on the Sandpile Identity on a lattice - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Discrete Mathematics and Theoretical Computer Science Année : 2003

Results and conjectures on the Sandpile Identity on a lattice

Résumé

In this paper we study the identity of the Abelian Sandpile Model on a rectangular lattice.This configuration can be computed with the burning algorithm, which, starting from the empty lattice, computes a sequence of configurations, the last of which is the identity.We extend this algorithm to an infinite lattice, which allows us to prove that the first steps of the algorithm on a finite lattice are the same whatever its size.Finally we introduce a new configuration, which shares the intriguing properties of the identity, but is easier to study.
Fichier principal
Vignette du fichier
dmAB0108.pdf (439.04 Ko) Télécharger le fichier
Origine Fichiers éditeurs autorisés sur une archive ouverte
Loading...

Dates et versions

hal-01183316 , version 1 (12-08-2015)

Identifiants

Citer

Arnaud Dartois, Clémence Magnien. Results and conjectures on the Sandpile Identity on a lattice. Discrete Models for Complex Systems, DMCS'03, 2003, Lyon, France. pp.89-102, ⟨10.46298/dmtcs.2308⟩. ⟨hal-01183316⟩
283 Consultations
787 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More