Two different local divergence measures, the Fisher (FD) and the Jensen–Fisher (JFD) ones, are compared in this work by applying them to atomic one-particle densities in position and momentum spaces. They are defined in terms of the absolute and the relative Fisher information functionals. The...

In this paper we explore the patterns of the division of inter-vivos financial transfers from parents to adult children in a sample of 12 European countries. We exploit two waves of the Survey of Health, Aging, and Retirement in Europe (SHARE) for 50+. Contrary to previous studies, we find a...

A generalization of the original Jensen–Shannon divergence (JSD) is presented in this work, which gives rise to a non-extensive one-parameter divergence providing a powerful dissimilarity measure between electronic distributions. The analysis performed in this study employs the JTD measure to...

The Dirac-delta-like quantum-mechanical potentials are frequently used to describe and interpret numerous phenomena in many scientific fields including atomic and molecular physics, condensed matter and quantum computation. The entropy and complexity properties of potentials with one and two...

Most of research on complexities and the corresponding conclusions have been obtained by numerically quantifying their values, and little attention has been paid to their theoretical properties and the exact meaning within an statistical framework, valid for any arbitrary n-dimensional...

The extremization of the information-theoretic measures (Fisher information, Shannon entropy, Tsallis entropy), which complementary describe the spreading of the physical states of natural systems, gives rise to fundamental equations of motion and/or conservation laws. At times, the associated...