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» Deterministic random walks on the integers
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EJC
2007
14 years 10 months ago
Deterministic random walks on the integers
Jim Propp’s P-machine, also known as the ‘rotor router model’ is a simple deterministic process that simulates a random walk on a graph. Instead of distributing chips to ran...
Joshua N. Cooper, Benjamin Doerr, Joel H. Spencer,...
WIA
2009
Springer
15 years 5 months ago
Random Generation of Deterministic Tree (Walking) Automata
Uniform random generators deliver a simple empirical means to estimate the average complexity of an algorithm. We present a general rejection algorithm that generates sequential le...
Pierre-Cyrille Héam, Cyril Nicaud, Sylvain ...
SODA
2008
ACM
105views Algorithms» more  SODA 2008»
15 years 4 days ago
Deterministic random walks on regular trees
Jim Propp's rotor router model is a deterministic analogue of a random walk on a graph. Instead of distributing chips randomly, each vertex serves its neighbors in a fixed or...
Joshua N. Cooper, Benjamin Doerr, Tobias Friedrich...
COCOON
2010
Springer
15 years 1 months ago
The Cover Time of Deterministic Random Walks
Tobias Friedrich, Thomas Sauerwald
APPROX
2007
Springer
88views Algorithms» more  APPROX 2007»
15 years 4 months ago
Derandomization of Euclidean Random Walks
We consider the problem of derandomizing random walks in the Euclidean space Rk . We show that for k = 2, and in some cases in higher dimensions, such walks can be simulated in Lo...
Ilia Binder, Mark Braverman