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The rotor-router model is a deterministic analogue of random walk.
F. Spitzer, Principles of Random Walk
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L. Levine, The rotor-router model, Harvard University senior thesis (2002), http://arxiv.org/abs/math/0409407
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L. Levine and Y. Peres, The rotor-router shape is spherical, Math. Intelligencer
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A. Fey and F. Redig, Limiting shapes for deterministic centrally seeded growth models, J. Stat. Phys
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L. Levine and Y. Peres, Spherical asymptotics for the rotor-router model in ℤ d \Z^{d} , Indiana Univ. Math. J
2008
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M. Cook, The tent metaphor, available at http://paradise.caltech.edu/~cook/Warehouse/ForPropp/
Cited in the paper.
Cited in the paper.
J. Propp, Three lectures on quasirandomness, available at http://faculty.uml.edu/jpropp/berkeley.html
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