While entropy was introduced in the second half of the 19th century in the international
vocabulary as a scientific term, in the 20th century it became common in colloquial use …

We propose a new mechanism for generating power laws. Starting from a random walk, we
first outline a simple derivation of the Fokker–Planck equation. By analogy, starting from a …

The diameter distribution of a given species of deciduous trees is well approximated by a
Gamma distribution. Here we give new experimental evidence for this conjecture by …

Socio-economic inequalities derived from an exhaustive wealth distribution is studied in a
closed geographical region from Transylvania (Romania). Exhaustive wealth data is …

The local growth global reset (LGGR) dynamical model is reviewed and its performance in
describing the hadron energy spectra in relativistic collisions is demonstrated. It is shown …

Earthquake and avalanche statistics show a magnitude distribution (Gutenberg-Richter) and
a distribution of consecutive times (Omori). In order to describe such phenomena within a …

At first glance lottery is a form of gambling, a game in which the chances of winning are
extremely small. But upon a deeper look, considering that the Jackpot prize of lotteries is a …

We address two mathematical aspects of the Biró–Néda dynamical model, recently applied
in the statistical analysis of several and varied complex phenomena. First, we show that a …

Ever since the seminal work of Vilfredo Pareto the unusual heavy-tailed nature of wealth and
income distributions are intensely studied by economists and physicists. These distributions …

In the context of a large class of stochastic processes used to describe the dynamics of
wealth growth, we prove a set of inequalities establishing necessary and sufficient …