11 citations · 24 across the 8 of their papers we have counts for
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math.PR2022★ 4 cited
The stochastic sandpile model on complete graphs
Thomas Selig
The stochastic sandpile model (SSM) is a generalisation of the standard Abelian sandpile model (ASM), in which topplings of unstable vertices are made random. When unstable, a vert…
math.PR2022
Asymptotics of the single-source stochastic sandpile model
Thomas Selig, Haoyue Zhu
In the single-source sandpile model, a number grains of sand are positioned at a central vertex on the 2-dimensional grid . We study the stabilisation of this con…
math.CO2022★ 6 cited
Combinatorial aspects of sandpile models on wheel and fan graphs
Thomas Selig
We study combinatorial aspects of the sandpile model on wheel and fan graphs, seeking bijective characterisations of the model's recurrent configurations on these families. For whe…