Chip-Firing and Rotor-Routing on Directed Graphs

Details Chip-Firing and Rotor-Routing on Directed Graphs Chip-Firing and Rotor-Routing on Directed Graphs

2008-01-22

arxiv.org/abs/0801.3306v3

In and Out of Equilibrium 2, eds. Vladas Sidoravicius and Maria Eul\'alia Vares, ``Progress in Probability'' vol. 60, pages 33

Mathematics

Combinatorics

34 pages, 11 figures. v2 has additional references, v3 corrects figure 9

Scientific paper

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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