Statistical physics relates the properties of macroscale systems to the distributions of their
microscale agents. Its central tool has been the maximization of entropy, an equilibrium …

The aim of this focus article is to present a comprehensive classification of the main entropic
forms introduced in the last fifty years in the framework of statistical physics and information …

In this Letter, we show that the Shore-Johnson axioms for the maximum entropy principle in
statistical estimation theory account for a considerably wider class of entropic functional than …

We investigate the recently proposed holographic dark energy models with the apparent
horizon as the IR cutoff by assuming Kaniadakis and generalized Tsallis entropies in the …

In this paper, a simple case of Bayesian mechanics under the free energy principle is
formulated in axiomatic terms. We argue that any dynamical system with constraints on its …

Because of the long-range nature of the gravitational interaction, self-gravitating systems
never reach thermal equilibrium in the thermodynamic limit but remain trapped in …

In many papers in the literature, author (s) express their perplexity concerning the fact that
the (3+ 1) black-hole 'thermodynamical'entropy appears to be proportional to its area and …

This paper is a review of a particular approach to the method of maximum entropy as a
general framework for inference. The discussion emphasizes pragmatic elements in the …

The observed distributions of stellar parameters, in particular, rotational and radial velocities,
often depart from the Maxwellian (Gaussian) distribution. In the absence of a consistent …

The focus of this article is on entropy and Markov processes. We study the properties of
functionals which are invariant with respect to monotonic transformations and analyze two …