By recourse to information-theory tools, we study aspects of the dynamics of the interaction between a single trapped ion with a laser field. Despite its simplicity the model we use exhibits a broad range of intricate physical effects that are clearly detected by information quantifiers like...

We undertake the study of human 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. Their use opens up perspectives...

The description of the temporal evolution of some physical systems is tackled from an information theory view-point in which Tsallis' entropy is extremalized with the constraints posed by the knowledge of the generalized expectation values of a selected set of observables. The concomitant...

We consider maximum entropy solutions to Nonlinear Fokker–Planck equations within general thermostatistical formalisms. We show that the family of generalized nonextensive entropies introduced by Tsallis is the only one that has an associated family of nonlinear Fokker–Planck equations...

A regularization method based on the non-extensive maximum entropy principle is devised. Special emphasis is given to the q=1/2 case. We show that, when the residual principle is considered as constraint, the q=1/2 generalized distribution of Tsallis yields a regularized solution for...

A Tsallis-like information measure that elaborates upon those of the Tsallis type is shown to be a rather powerful tool for the analysis of complex, non-stationary signals, as exemplified by the Henon map and EEGs. The ensuing results could be of importance concerning the automatic detection of...

The problem of structured noise suppression is addressed by (i) modelling the subspaces hosting the components of the signal conveying the information and (ii) applying a nonlinear non-extensive technique for effecting the right separation. Although the approach is applicable to all situations...

We propose a new type of entropic descriptor that is able to quantify the statistical complexity (a measure of complex behaviour) by taking simultaneously into account the average departures of a system’s entropy S from both its maximum possible value Smax and its minimum possible value Smin....

Consider a bipartite quantum system with at least one of its two components being itself a composite system. By tracing over part of one (or both) of these two subsystems it is possible to obtain a reduced (separable) state that exhibits quantum correlations even if the original state of the...