Statistical-Mechanical Foundation of the Ubiquity of Lévy Distributions in Nature

We show that the use of the recently proposed thermostatistics based on the generalized entropic form ${S}_{q}\ensuremath{\equiv}\frac{k(1\ensuremath{-}\ensuremath{\Sigma}{i}^{}{p}_{i}^{q})}{(q\ensuremath{-}1)}$ (where $q\ensuremath{\in}R$, with $q=1$ corresponding to the Boltzmann-Gibbs-Shannon ent... View More