Publication

Power law size distribution of supercritical random trees

Paolo De Los Rios
2001
Journal paper

Abstract

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.

Official source

https://infoscience.epfl.ch/record/147455?ln=en

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Power law size distribution of supercritical random trees

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Explosive fragmentation of Prince Rupert's drops leads to well-defined fragment sizes