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Re-inventing Willis

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arxiv physics/0601192 v3 pith:3ZJAXB6W submitted 2006-01-25 physics.soc-ph cond-mat.stat-mechmath.STstat.TH

Re-inventing Willis

classification physics.soc-ph cond-mat.stat-mechmath.STstat.TH
keywords relatedreviewwillisactivitiesbiologicalbranchingcloselycoagulation
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Scientists often re-invent things that were long known. Here we review these activities as related to the mechanism of producing power law distributions, originally proposed in 1922 by Yule to explain experimental data on the sizes of biological genera, collected by Willis. We also review the history of re-invention of closely related branching processes, random graphs and coagulation models.

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Cited by 1 Pith paper

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  1. On the transformation of the Maxwell-Boltzmann Distribution to a Power-Law

    astro-ph.HE 2026-04 unverdicted novelty 5.0

    Power-law distributions arise in colliding hard-sphere systems from Maxwell-Boltzmann when starting far from equilibrium, with scale-free intermediate dynamics and open scale-free boundaries.