In preparation for the publication of the preprint of our research on the harmonic dynamics of the Abelian sandpile identity, we created this homepage. The current version of the open-source software InterPile used to generate these dynamics is already available for download. Videos showing the sandpile identity dynamics induced by different harmonics will be made available soon.
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
Sandpile monomorphisms:
Moritz Lang and Mikhail Shkolnikov (2019).
Sandpile monomorphisms and harmonic functions.
ArXiv preprint arXiv:1904.12209.
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