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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…
Scaling limit of the sandpile identity element on the Sierpinski gasket
Robin Kaiser, Ecaterina Sava-Huss
We investigate the identity element of the sandpile group on finite approximations of the Sierpinski gasket with normal boundary conditions and show that the sequence of piecewise…
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…