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20212023
most citedAverage height for Abelian sandpiles and the looping constant on Sierpinski graphs

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math.PR2023

Sandpiles on the Vicsek fractal explode with probability 1/4

Nico Heizmann, Robin Kaiser, Ecaterina Sava-Huss

Vicsek fractal graphs are an important class of infinite graphs with self similar properties, polynomial growth and treelike features, on which several dynamical processes such as…

math.PR2023★ 1 cited

Average height for Abelian sandpiles and the looping constant on Sierpinski graphs

Nico Heizmann, Robin Kaiser, Ecaterina Sava-Huss

For the Abelian sandpile model on Sierpinski graphs, we investigate several statistics such as average height, height probabilities and looping constant. In particular, we calculat…