Distribution of Avalanches on the (n,k)-wheel

Dominique Rossin (1) , Arnaud Dartois (2)

1 LIAFA - Laboratoire d'informatique Algorithmique : Fondements et Applications
2 LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]

This paper deals with the sandpile model on the wheel, a lattice with particular boundary conditions. It presents how transducers applied to the language of recurrent configurations of the abelian sandpile model can help determining critical exponents of the underlying model. We present exact results for the avalanche distribution on the simple wheel, and give some clues for the multiple one where strange phenomena happen.

Mots clés: sandpile; lattice; critical group

Domaines: Combinatoire [math.CO]

Dominique Rossin, Arnaud Dartois. Distribution of Avalanches on the (n,k)-wheel. FPSAC/SFCA'03, 2003, Linkoping, Sweden. ⟨hal-00016372⟩