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.

The Jensen–Shannon divergence is a symmetrized and smoothed version of the Kullback–Leibler divergence. Recently it has been widely applied to the analysis and characterization of symbolic sequences. In this paper we investigate a generalization of the Jensen–Shannon divergence. This...

Within a real space renormalization group framework based on self-dual clusters, we discuss the criticality of the quenched bond-mixed q-state Potts ferromagnet on a square lattice. On qualitative grounds we exhibit that crossover from the pure fixed point to the random one occurs, while q...

Using a real space renormalization group method, we calculate the thermal dependence of the susceptibility of the q-state Potts model (ferro- and antiferromagnet) on self-dual Wheatstone-bridge-like hierarchical lattices. The influence of external fields on the antiferromagnetic phase diagram is...

We consider a population with biparental procreation which genetically transmits, through a specific blending-like mechanism, a combination of two characters, namely a nomadic and a sedentary one. Consequently, as time goes on, the population spreads out geographically, space distribution thus...

We study the dynamics of a Hamiltonian system of N classical spins with infinite-range interaction. We present numerical results which confirm the existence of metaequilibrium quasi stationary states (QSS), characterized by non-Gaussian velocity distributions, anomalous diffusion, Lévy walks...

Increasing the number N of elements of a system typically makes the entropy to increase. The question arises on what particular entropic form we have in mind and how it increases with N. Thermodynamically speaking it makes sense to choose an entropy which increases linearly with N for large N,...

We carry on computer simulations in order to discuss the maintenance of polygenic variance in a model with migrating finite diploid population, non-overlapping generations and non-random mating, submitted to stabilizing selection and to spontaneous mutations. We sweep a wide spectrum of mutation...

The experimental formation factor (F) vs. porosity (φ) as well as resistivity index (I) vs. water saturation (Sw) results typically present, in double-logarithmic representation, bendings which we now interpret as crossovers between different fractal-like regimes. We consistently propose for...

We consider probabilistic models of N identical distinguishable, binary random variables. If these variables are strictly or asymptotically independent, then, for N→∞, (i) the attractor in distribution space is, according to the standard central limit theorem, a Gaussian, and (ii) the...