Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
975464 | Physica A: Statistical Mechanics and its Applications | 2007 | 19 Pages |
Abstract
Using a Poissonian approach to the modeling of random populations, we introduce a definition of “Poissonian fractality” based on the notion of scale-invariance. This definition leads to the characterization of four different classes of Fractal Poissonian Populations-three of which being non-Paretian objects. The Fractal Poissonian Populations characterized turn out to be the unique fixed points of natural renormalizations, and turn out to be intimately related to Extreme Value distributions and to Lévy Stable distributions.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Iddo Eliazar, Joseph Klafter,