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Chaotic systems share with stochastic processes several properties that make them almost undistinguishable. In this communication we introduce a representation space, to be called the… (More)
We discuss bounds on the values adopted by the generalized statistical complexity measures [M.T. Martin et al., Phys. Lett. A 311 (2003) 126; P.W. Lamberti et al., Physica A 334 (2004) 119]… (More)
A non-linear, generalized Fokker-Planck (GFP) equation is studied whose exact stationary solutions are the maximum entropy distributions introduced by Tsallis in his generalization of Statistical… (More)
We discuss a way of characterizing probability distributions, complementing that provided by the celebrated notion of information measure, with reference to a measure of complexity that we call a… (More)
Abstract We study the concept of disequilibrium as an essential ingredient of a family of statistical complexity measures. We find that Wootters' objections to the use of Euclidean distances for… (More)
By appealing to a long list of different nonlinear maps we review the characterization of time series arising from chaotic maps. The main tool for this characterization is the permutation Bandt-Pompe… (More)
The role of Tsalli's non-extensive Information Measure within an a la Jaynes Information-Theory-based formulation of Statistical Mechanics is discussed in rather detailed fashion.
Abstract We derive the Tsallis generalized canonical distribution by recourse to considerations that originate in the traditional Gibbs microcanonical ensemble. The route to be followed has… (More)
The past decade has witnessed an impressive growth in the scope and variety of physical applications of Fisher's information measure (FIM). As a consequence, FIM is widely regarded today as providing… (More)
Impairments of action language have been documented in early stage Parkinson's disease (EPD). The action-sentence compatibility effect (ACE) paradigm has revealed that EPD involves deficits to… (More)