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arXiv · 0801.3306

Chip-Firing and Rotor-Routing on Directed Graphs

Alexander E. Holroyd·Lionel Levine·Karola Meszaros·Yuval Peres·James Propp·David B. Wilson
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Abstract

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.

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Alexander E. Holroyd, Lionel Levine, Karola Meszaros, Yuval Peres, James Propp, David B. Wilson. 2013-06-20. Chip-Firing and Rotor-Routing on Directed Graphs. https://doi.org/10.1007/978-3-7643-8786-0_17

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