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Empirical analysis on the connection between power-law distributions and allometries for urban indicators

We report on the existing connection between power-law distributions and allometries. As it was first reported in Gomez-Lievano et al. (2012) for the relationship between homicides and population, when these urban indicators present asymptotic …

Universal bursty behaviour in human violent conflicts

Understanding the mechanisms and processes underlying the dynamics of collective violence is of considerable current interest. Recent studies indicated the presence of robust patterns characterizing the size and timing of violent events in human …

Fractional Diffusion Equations and Equivalent Circuits Applied to Ionic Solutions

We investigate dilute solutions of different salts (KClO3, K2SO4, and CdCl2H2O) dissolved in Milli-Q deionized water in the context of the fractional diffusion equations and equivalent circuits. The experimental results show that in the low frequency …

Long-range spatial correlations and fluctuation statistics of lightning activity rates in Brazil

We report on a statistical analysis of the lightning activity rates in all Brazilian cities. We find out that the average of lightning activity rates exhibit a dependence on the latitude of the cities, displaying one peak around the Tropic of …

First passage time for a diffusive process under a geometric constraint

We investigate the solutions, survival probability, and first passage time for a two dimensional diffusive process subjected to the geometric constraints of a backbone structure. We consider this process governed by a fractional Fokker-Planck …

Engagement in the electoral processes: Scaling laws and the role of the political positions

| PDF We report on a statistical analysis of the engagement in the electoral processes of all Brazilian cities by considering the number of party memberships and the number of candidates for mayor and councillor. By investigating the relationships …

Time dependent solutions for a fractional Schrödinger equation with delta potentials

We investigate, for an arbitrary initial condition, the time dependent solutions for a fractional Schrödinger equation in presence of delta potentials by using the Green function approach. The solutions obtained show an anomalous spreading …

Distance to the scaling law: a useful approach for unveiling relationships between crime and urban metrics

We report on a quantitative analysis of relationships between the number of homicides, population size and other ten urban metrics. By using data from Brazilian cities, we show that well defined average scaling laws with the population size emerge …

The transformation groupoid structure of the q-Gaussian family

Groupoid theory plays an important role in physics since the beginnings of quantum mechanics. Recent developments in understanding symmetries in complex dynamical systems underpin the growing importance of groupoid theory also for statistical …

Antipersistent behavior of defects in a lyotropic liquid crystal during annihilation

We report on the dynamical behavior of defects of strength s = +/- 1/2 in a lyotropic liquid crystal during the annihilation process. By following their positions using time resolved polarizing microscopy technique, we present statistically …