24 citations · 108 across the 21 of their papers we have counts for
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math.CO2015★ 19 cited
Tropical curves in sandpiles
Nikita Kalinin, Mikhail Shkolnikov
We study a sandpile model on the set of the lattice points in a large lattice polygon. A small perturbation of the maximal stable state is obtained by adding extra…
math.CO2015★ 4 cited
Sandpiles on the heptagonal tiling
Nikita Kalinin, Mikhail Shkolnikov
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…
math.CO2015
Tropical curves in sandpile models
Nikita Kalinin, Mikhail Shkolnikov
A sandpile is a cellular automaton on a graph that evolves by the following toppling rule: if the number of grains at a vertex is at least its valency, then this vertex sends one g…