# Chip-Firing and Rotor-Routing on Directed Graphs

@article{Holroyd2008ChipFiringAR, title={Chip-Firing and Rotor-Routing on Directed Graphs}, author={Alexander E. Holroyd and Lionel Levine and Karola M{\'e}sz{\'a}ros and Yuval Peres and James Gary Propp and David Bruce Wilson}, journal={arXiv: Combinatorics}, year={2008}, pages={331-364} }

We give a rigorous and self-contained survey of the abelian sandpile model and rotor-router model on finite directed graphs, highlighting the connections between them. We present several intriguing open problems.

## 190 Citations

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