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» Deterministic random walks on the integers
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EJC
2007
13 years 4 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
13 years 11 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»
13 years 6 months 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
13 years 7 months ago
The Cover Time of Deterministic Random Walks
Tobias Friedrich, Thomas Sauerwald
APPROX
2007
Springer
88views Algorithms» more  APPROX 2007»
13 years 10 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