We review the Chilean Pension System (CPS) under an entirely new prism: the fluctuation of the capitalization funds measured by means of information theory, which is achieved by the application of the recently proposed data compressor wlzip. We begin by explaining the basics of the CPS at the...

We analyze some models of nonequilibrium systems proposed in the past decade which derive the laws of irreversible thermodynamics from deterministic dynamics. We find that these models do not posses the crucial property of local thermodynamic equilibrium, since they represent noninteracting...

We consider the effect of shear and normal viscous pressures on the non-equilibrium entropy of ideal gases in Couette flow. These results extend the previous ones (Bidar et al., Physica A 233 (1996) 163), where normal pressure effects were ignored. Furthermore, we analyze the non-equilibrium...

We revisit some aspects of the foundations of the q-non-extensive thermostatistical formalism, which are particularly relevant to its astronomical applications. We analyse some important features of escort mean values and escort distributions, in connection with the dynamical evolution of...

The Fisher–Shannon statistical measure of complexity is analyzed for a continuous manifold of quantum observables. It is shown that evaluating this measure only in the configuration or in the momentum spaces does not provide an adequate characterization of the complexity of some quantum...

We present a new information theoretic approach for network characterizations. It is developed to describe the general type of networks with n nodes and L directed and weighted links, i.e., it also works for the simpler undirected and unweighted networks. The new information theoretic measures...

This study introduces the constrained forms of the Shannon information entropy and Kullback–Leibler cross-entropy functions. Applicable to a closed system, these functions incorporate the constraints on the system in a generic fashion, irrespective of the form or even the number of the...

We introduce a new kind of Information Theory. From a finite number of local, noisy comparisons, we want to design a robust filter such that the outcome is a high ranking number. Both analytical and numerical results are encouraging and we believe our toy model has wide ranging implications in...

A recent attempt to extend Shannon's source coding theorem with a nonadditive information content is briefly reviewed. The information entropy used here is a modified form of Tsallis entropy (Tsallis entropy divided by the factor ∑ipiq). In addition we refer to some relations which can be...

Many networks are characterized by highly heterogeneous distributions of links which are called scale-free networks, and the degree distributions follow p(k)∼ck-α. We study the robustness of scale-free networks to random failures from the character of their heterogeneity. Entropy of the...