Mathematical Background
Harmonic Sandpile Dynamics
For an explanation of the harmonic sandpile dynamics, we refer to our manuscript:
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 .
An early preprint of our manuscript is also available, however, misses some of the topics discussed in the PNAS version:
Moritz Lang and Mikhail Shkolnikov (2018).
Harmonic dynamics of the Abelian sandpile.
ArXiv preprint arXiv:1806.10823.
Sandpile Monomorphisms
The sandpile monomorphisms from NxM to s(N+1)-1 x s(M+1)-1 domains are explained in our preprint:
Moritz Lang and Mikhail Shkolnikov (2018).
Sandpile monomorphisms and harmonic functions.
ArXiv preprint arXiv:1904.12209.
License InterPile
InterPile is free software licensed under the GNU General Public License, Version 3 (see LICENSE).
