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research article
Power law size distribution of supercritical random trees
2001
The probability distribution P(k) of the sizes k of critical trees ( branching ratio m = 1) is well known to show a power law behavior k(-3/2). Such behavior corresponds to the mean-field approximation for many critical and self-organized critical phenomena. Here we show numerically and analytically that also supercritical trees (branching ration m > 1) are critical in that their size distribution obeys a power law k(-2). We mention some possible applications of these results.
Type
research article
Authors
Publication date
2001
Publisher
Published in
Volume
56
Start page
898
End page
903
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
March 22, 2010
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