Videos of sandpile identity dynamics

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White pixels represent vertices carrying zero particles, while green, blue and black pixels represent vertices carrying one, two or three particles, respectively.

Mathematical Background

Harmonic sandpile dynamics:

Moritz Lang and Mikhail Shkolnikov (2019). Harmonic dynamics of the abelian sandpile. Proceedings of the National Academy of Sciences (online first). DOI: 10.1073/pnas.1812015116

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Sandpile monomorphisms:

Moritz Lang and Mikhail Shkolnikov (2019). Sandpile monomorphisms and harmonic functions. ArXiv preprint arXiv:1904.12209.

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