q-Gaussian behavior is often encountered in quite distinct settings. A possible explanation is here given with reference to experimental scenarios in which data are gathered using a set-up that performs a normalization preprocessing. We show that the ensuing normalized input, as recorded by the...

We present a thermodynamic formulation for scale-invariant systems based on the minimization with constraints of the Fisher information measure. In such a way a clear analogy between these systems’ thermal properties and those of gases and fluids is seen to emerge in a natural fashion. We...

In a recent paper, we have studied a generalization of the Jensen–Shannon divergence (JSD) (Physica A 329 (2003) 81). This generalization was made in the context of Tsallis’ statistical mechanics. The present work is devoted to an investigation of the metric character of the JSD generalization.

Non-extensive thermostatistics is a new paradigm statistical mechanics (SM) that has reached the rather mature age of 15 in 2003. It has considerably extended both SM formalism and its range of applicability. It constitutes one of physics’ new frontiers, with advances being made almost on a...

The problem of separating structured information representing phenomena of differing natures is considered. A structure is assumed to be independent of the others if can be represented in a complementary subspace. When the concomitant subspaces are well separated the problem is readily solvable...

We show here how to use pieces of thermodynamics’ first law to generate probability distributions for generalized ensembles when only level-population changes are involved. Such microstate occupation modifications, if properly constrained via first law ingredients, can be associated not...

We present a general method to study the dynamics of quantum-classical systems. The emergency of chaotic motion in the classical limit together with the transition between regimes are also described.

We concern ourselves with statistical quantifiers of semiclassical time-evolutions and their classical limit. The system of interest represents the interaction between matter and a given field. Our tool here is the so-called Permutation Entropy, evaluated by recourse to the so-called Bandt-Pompe...

In order to ascertain which are the essential requirements that allow for the application of MaxEnt techniques in connection with evolution problems, we study time-dependent probability distributions governed by a general, linear evolution equation that admits, as particular instances, the...

We undertake the study of EEG-signals by recourse to a wavelet based multiresolution analysis as adapted to an information-measure-scenario. Different information measures are employed. It is shown that non-extensive ones seem to be of particular usefulness.