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 …

Rényi entropy was originally introduced in the field of information theory as a parametric
relaxation of Shannon (in physics, Boltzmann–Gibbs) entropy. This has also fuelled different …

The concept of entropy connects the number of possible configurations with the number of
variables in large stochastic systems. Independent or weakly interacting variables render the …

We derive generalized Fokker-Planck equations (FPEs) based on two nonextensive entropy
measures S±that depend exclusively on the probability. These entropies have been …

The statistical theory based on the two-parameter Sharma–Mittal functional is a
generalization of Gibbs, Renyi, and Tsallis statistics. This study focuses on the formalism of …

As a non-extensive statistical mechanics application, a possible path to generalised
information theory is discussed by introducing a family of non-extensive entropies …

It is discussed how the superstatistical formulation of effective Boltzmann factors can be
related to the concept of Kolmogorov complexity, generating an infinite set of complexity …

As an application of generalised statistical mechanics, it is studied a possible route toward a
consistent generalised information theory in terms of a family of non-extensive, non …

The generalized theory of fluctuations corresponding to probability-dependent generalized
entropies in the canonical and grand canonical ensembles is formulated. The entropies …

Статистическая теория, построенная на основе двухпараметрического функционала
Шарма-Миттала, является обобщением статистик Гиббса, Реньи и Тсаллиса. В …