Scaling of random spreading in small world networks

Details Scaling of random spreading in small world networks Scaling of random spreading in small world networks

2001-08-13

arxiv.org/abs/cond-mat/0108199v1

Physics

Condensed Matter

Statistical Mechanics

3 pages, 4 figures

Scientific paper

10.1103/PhysRevE.64.057105

In this study we have carried out computer simulations of random walks on
Watts-Strogatz-type small world networks and measured the mean number of
visited sites and the return probabilities. These quantities were found to obey
scaling behavior with intuitively reasoned exponents as long as the probability
$p$ of having a long range bond was sufficiently low.

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