Scale-invariance of random populations: From Paretian to Poissonian fractality

Iddo Eliazar and Joseph Klafter

Physica A: Statistical Mechanics and its Applications, 2007, vol. 383, issue 2, 171-189

Abstract: Random populations represented by stochastically scattered collections of real-valued points are abundant across many fields of science. Fractality, in the context of random populations, is conventionally associated with a Paretian distribution of the population's values.

Keywords: Fractals; Scale-invariance; Renormalization; Paretian fractality; Poisson processes; Poissonian fractality; Extreme value distributions; Lévy Stable distributions (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:383:y:2007:i:2:p:171-189

DOI: 10.1016/j.physa.2007.04.044

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