First Domain Scaling Movies and new Release of InterPile

The first videos are online showing configurations corresponding to the sandpile identity dynamics induced by a given harmonic fields at the same or scaled times for increasing domain sizes. This visualizes both the capability of our approach for renormalization, as well as the super-position of different time scales.

We also released a new beta of InterPile (beta 3), with which these videos can be easily generated. Feel free to send us your best videos!

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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