Sandpile probabilities on triangular and hexagonal lattices

Poncelet, Adrien;Ruelle, Philippe
(2018) Journal of Physics A: Mathematical and Theoretical — Vol. 51, p. 15002 (2018)

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Abstract
We consider the Abelian sandpile model on triangular and hexagonal lattices. We compute several height probabilities on the full plane and on half-planes, and discuss some properties of the universality of the model.
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Poncelet, A., & Ruelle, P. (2018). Sandpile probabilities on triangular and hexagonal lattices. Journal of Physics A: Mathematical and Theoretical, 51, 15002. https://doi.org/10.1088/1751-8121/aa9255 (Original work published 2018)