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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…