The universal macroscopic statistics and phase transitions of rank distributions

Article ID	Journal	Published Year	Pages	File Type
7382957	Physica A: Statistical Mechanics and its Applications	2011	11 Pages	PDF

Abstract

âº We establish a “Lorenzian Limit Law” for rank distributions, which provides: âº a universal characterization of the macroscopic statistics of rank distributions; âº a universal statistical classication of macroscopic network topologies; âº a universal statistical classication of macroscopic socioeconomic states; âº a statistical classication of Zipfs law and its “self-organized criticality”.

Keywords

Rank distributions Self-organized criticality (SOC)Central Limit Theorem (CLT)Phase transitions Regular variation Network topologies Universality Zipf’s law Pareto’s Law Power-laws Lorenz curves