Statistical mechanics constitutes one of the pillars of contemporary physics. Recognized as
such-together with mechanics (classical, quantum, relativistic), electromagnetism and …

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 …

We discuss the interest of escort distributions and Rényi entropy in the context of source
coding. We first recall a source coding theorem by Campbell relating a generalized measure …

The principle of maximum entropy (PME), as expounded by Jaynes, is based on the
maximization of the Boltzmann-Gibbs-Shannon (BGS) entropy subject to linear constraints …

Diverse linear and nonlinear statistical parameters of rainfall under aggregation in time and
the kind of temporal memory are investigated. Data sets from the Andes of Colombia at …

A principle of hierarchical entropy maximization is proposed for generalized superstatistical
systems, which are characterized by the existence of three levels of dynamics. If a …

The maximum entropy principle consists of two steps: The first step is to find the distribution
which maximizes entropy under given constraints. The second step is to calculate the …

We extend stochastic thermodynamics by relaxing the two assumptions that the Markovian
dynamics must be linear and that the equilibrium distribution must be a Boltzmann …

In a recent paper (Entropy 2020, 22 (1), 17), Tsallis states that entropy—as in Shannon or
Kullback–Leiber's definitions—is inadequate to interpret black hole entropy and suggests …

It is generally assumed that the Rényi entropy is maximized by the q-exponentials and is
hence useful to construct a generalized statistical mechanics. However, to the best of our …