Sandpiles on the heptagonal tiling
Nikita Kalinin, Mikhail Shkolnikov

TL;DR
This paper investigates the behavior of sandpile models on the hyperbolic plane's heptagonal tiling, providing explicit descriptions of how these systems relax from maximal stable states.
Contribution
It offers a novel analysis of sandpile dynamics on hyperbolic tilings, extending understanding beyond Euclidean cases.
Findings
Explicit relaxation descriptions for sandpiles on heptagonal tiling
Insights into stability and perturbation effects in hyperbolic geometries
Extension of sandpile theory to non-Euclidean surfaces
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.
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