Sandpile probabilities on triangular and hexagonal lattices

Abstract

We consider the Abelian sandpile model on triangular and hexagonal lattices. We compute several height probabilities on the full plane and on half-planes, and discuss some properties of the universality of the model.

26 pages, 12 figures. v2 and v3: minor corrections

References in corpus (3)

• Pair correlations in sandpile model: a check of logarithmic conformal field theory
• Wind on the boundary for the Abelian sandpile model
• Exact integration of height probabilities in the Abelian Sandpile Model