Confluence in Labeled Chip-Firing
arXiv:2006.12324
Abstract
In 2016, Hopkins, McConville, and Propp proved that labeled chip-firing on a line always leaves the chips in sorted order if the number of chips is even. We present a novel proof of this result. We then apply our methods to resolve a number of related conjectures concerning the confluence of labeled chip-firing systems.
23 pages, 9 figures, accepted as poster to FPSAC 2020, submitted to JCTA-A