Provides an introduction to the combinatorial theory of chip-firing on finite graphs. Part 1 motivates the study of the discrete Laplacian by introducing the dollar game. Part 2 focuses on sandpiles. Part 3 addresses various topics connecting the theory of chip-firing to other areas of mathematics.
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Provides an introduction to the combinatorial theory of chip-firing on finite graphs. Part 1 motivates the study of the discrete Laplacian by introducing the dollar game. Part 2 focuses on sandpiles. Part 3 addresses various topics connecting the theory of chip-firing to other areas of mathematics.
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