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The rotor walk is a derandomized version of the random walk on a graph.
The probabilistic abacus
A. Engel · 1975
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Why does the probabilistic abacus work?
A. Engel · 1976
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Principles of random walk
F. Spitzer · 1976
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Generating spanning trees more quickly than the cover time
D. Wilson · 1984
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Self-organized critical state of sandpile automaton models
D. Dhar · 1990
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Intersections of random walks
G. F. Lawler · 1991
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Eulerian walkers as a model of self-organized criticality
V. B. Priezzhev, D. Dhar, A. Dhar, and S. Krishnamurthy · 1996
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Markov chains
J. R. Norris · 1997
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On playing golf with two balls
I. Dumitriu, P. Tetali, and P. Winkler · 2003
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Goldbug variations
M. Kleber · 2005
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Deterministic random walks
J. Cooper, B. Doerr, J. Spencer, and G. Tardos · 2006
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Simulating a random walk with constant error
J. N. Cooper and J. Spencer · 2006
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Deterministic random walks on the integers
J. Cooper, B. Doerr, J. Spencer, and G. Tardos · 2007
Cited alongside, same era.
Deterministic random walks on regular trees
J. Cooper, B. Doerr, T. Friedrich, and J. Spencer · 2008
Cited alongside, same era.
Chip-firing and rotor-routing on directed graphs
A. E. Holroyd, L. Levine, K. Mészáros, Y. Peres, J. Propp, and D. B. Wilson · 2008
Later among the works it cites.
Spherical asymptotics for the rotor-router model in Z d Z^{d}
L. Levine and Y. Peres · 2008
Later among the works it cites.
Discrete low-discrepancy sequences
O. Angel, A. E. Holroyd, J. Martin, and J. Propp · 2009
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Deterministic random walks on the two-dimensional grid
B. Doerr and T. Friedrich · 2009
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The rotor-router model on regular trees
I. Landau and L. Levine · 2009
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Strong spherical asymptotics for rotor-router aggregation and the divisible sandpile
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Rotor walks on general trees
O. Angel and A. E. Holroyd
Cited in the paper.
The rotor-router model
L. Levine
Cited in the paper.
Scaling limits for internal aggregation models with multiple sources
L. Levine and Y. Peres
Cited in the paper.
L. Levine and Y. Peres · 2009
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Rotor walk and Markov chains: Refinements and examples
J. Propp · 2009
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