Even more videos

We uploaded even more videos, most of which are showing the effect when combining different harmonic fields. We also created a "promotional video" to illustrate how the different dynamics play together, called A roundtrip through the sandpile group, which can be seen on the start page of this website.

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

BibTeX  View

Sandpile monomorphisms:

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


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