English

Sandpiles on the heptagonal tiling

Combinatorics 2025-11-05 v2

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.

Cite

@article{arxiv.1509.00654,
  title  = {Sandpiles on the heptagonal tiling},
  author = {Nikita Kalinin and Mikhail Shkolnikov},
  journal= {arXiv preprint arXiv:1509.00654},
  year   = {2025}
}

Comments

small corrections

R2 v1 2026-06-22T10:47:22.478Z