Sandpiles on the heptagonal tiling

Abstract

We study perturbations of the maximal stable state in a sandpile model on the set of faces of the heptagonal tiling on the hyperbolic plane. An explicit description for relaxations of such states is given.

small corrections

References in corpus (2)

• Multiple and inverse topplings in the Abelian Sandpile Model
• Deterministic Abelian Sandpile and square-triangle tilings