research article
Power law size distribution of supercritical random trees
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
Author(s)
Date Issued
2001
Publisher
Volume
56
Start page
898
End page
903
Subjects
Editorial or Peer reviewed
REVIEWED
Written at
EPFL
EPFL units
Available on Infoscience
March 22, 2010
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