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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.PR2013
Representations of stack triangulations in the plane
Thomas Selig
Stack triangulations appear as natural objects when defining an increasing family of triangulations by successive additions of vertices. We consider two different probability distr…