Escort distributions are a well established but (for physicists) a relatively new concept that is rapidly gaining wide acceptance in world. In this work we wish to revisit the concept within the strictures of the celebrated semiclassical Husimi distributions (HDs) and thereby investigate the...

In this paper, we present some geometric properties of the maximum entropy Tsallis-distributions under energy constraint. In the case q1, these distributions are proved to be marginals of uniform distributions on the sphere; in the case q1, they can be constructed as conditional distributions of...

Information concerning important details of an ecosystem's evolution are shown to be contained in an appropriately constructed power spectrum. In particular, it provides an answer to the question of just why power-law behavior vanishes in the absence of Darwinian competition.

We discuss here the use of generalized forms of entropy, taken as information measures, to characterize phase transitions and critical behavior in thermodynamic systems. Our study is based on geometric considerations pertaining to the space of parameters that describe statistical mechanics...

We study the classical statistical mechanics of a phase–space curve. This unveils a mechanism that, via the associated entropic force, provides us with a simple realization of effects such as confinement, hard core, and asymptotic freedom. Additionally, we obtain negative specific heats, a...

We introduce a game admitting both classical and quantal players. Strategies are determined by the initial conditions of the associated dynamical system, whose time evolution is characterized by the existence of attractors that represent the possible results of the game. The physics associated...

Variational principles for the rate distortion (RD) theory in lossy compression are formulated within the ambit of the generalized nonextensive statistics of Tsallis, for values of the nonextensivity parameter satisfying 0<q<1 and q>1. Alternating minimization numerical schemes to evaluate the nonextensive...</q<1>

The dynamical problem posed by the coupling of quantal to classical degrees of freedom is tackled, within the framework of the quantum friction phenomenon, by recourse to statistical methods embedded within Jaynes' maximum entropy principle.

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 one with a unifying principle for physics. In the present paper, we investigate its usefulness...

Via a first-order linear differential equation, we determine a general link between two different solutions of the MaxEnt variational problem, namely, the ones that correspond to using either Shannon’s or Tsallis’ entropies in the concomitant variational problem. It is shown that the two...