q-distributions in complex systems: a brief review

Abstract

The nonextensive statistical mechanics proposed by Tsallis is today an intense and growing research field. Probability distributions which emerges from the nonextensive formalism (q-distributions) have been applied to an impressive variety of problems. In particular, the role of q-distributions in the interdisciplinary field of complex systems has been expanding. Here, we make a brief review of q-exponential, q-Gaussian and q-Weibull distributions focusing some of their basic properties and recent applications. The richness of systems analyzed may indicate future directions in this field.

Sergio de Picoli Jr.
Sergio de Picoli Jr.
Assistant Professor
Renio dos Santos Mendes
Renio dos Santos Mendes
Associate Professor