Some natural phenomena are deviating from standard statistical behavior and their study has increased interest in obtaining new definitions of information measures. But the steps for deriving the best definition of the entropy of a given dynamical system remain unknown. In this paper, we...

Recently Jeffreys–Tsallis and Jensen–Shannon–Tsallis divergences have been introduced, for which we establish new inequalities. Our results refine and generalize recent results in Tsallis theory and one respond to an interesting open problem dated since 2011.

By means of a novel classical limiting method we derive classical Liouville equations for particles with spin 0 and 1 from the Klein–Gordon and the Duffin–Kemmer–Petiau equations in relativistic quantum phase space within a geometric algebra structure.

In this work we have shown that the tunnel effect through an unidimensional rectangular barrier can be described as a stochastic process by means of a random-walk approximation model. Through this approximation we observed good agreement with the quantum mechanical predictions for the tunneling...

We investigate the quantum–classical transition problem. The main issue addressed is how quantum mechanics can reproduce results provided by Newton’s laws of motion. We show that the measurement process is critical to resolve this issue. In the limit of continuous monitoring with minimal...

Classical statistical relaxation is quantitatively characterized by the ergodicity, an important relation connecting the time-averaged and ensemble-averaged properties of dynamical observables. In principle, the quantum statistical relaxation should be characterized correspondingly by the...

Starting from the Liouvillian formulation of classical physics, it is possible by means of a Fourier transform to introduce the Wigner representation and to derive an operator structure to classical mechanics. The importance of this new representation lies in the fact that it turns out to be the...

This paper provides a general overview of the social, environmental, and economical issues related to biofuels and a review of economic modeling of biofuels. The increasing importance of biofuels is driven primarily by government policies since currently available biofuels are generally not...

This paper proposes a new set of transformed polynomial functions that provide a flexible setting for nonlinear autoregressive modeling of the conditional mean while at the same time ensuring the strict stationarity, ergodicity, fading memory and existence of moments of the implied stochastic...

A.W.H. Phillips is little known to the economics profession today, except at the creator of the Phillips curve. Bollard's engaging biography tells the story of a provincial New Zealander and practical engineer, who emerges as a hero in World War II, and plots a spectacular rise from 3rd class...