A brief review of generalized entropies

JM Amigó, SG Balogh, S Hernández - Entropy, 2018 - mdpi.com
… so-called generalized entropies, which from … generalized entropies that we consider in this
paper are related to ongoing work on graphs [18]. Further instances of generalized entropies

Generalized entropies

F Dupuis, L Kraemer, P Faist, JM Renes… - XVIIth international …, 2014 - World Scientific
… The aim of this work is to study an alternative measure of entropy that generalizes von
Neumann entropy. The generalized entropy is closely related to smooth entropies, which, in turn, …

Stabilities of generalized entropies

S Abe, G Kaniadakis, AM Scarfone - Journal of Physics A …, 2004 - iopscience.iop.org
… Therefore, we conclude that the generalized entropy is stable in the thermodynamic limit,
W … We have discussed the generalized entropy maximized by a given arbitrary distribution …

Generalized entropies, variance and applications

A Toomaj, A Di Crescenzo - Entropy, 2020 - mdpi.com
generalized cumulative entropy, which is a dual measure to the generalized cumulative residual
entropy… between the variance and the generalized cumulative residual entropy. First, we …

Bayes' estimators of generalized entropies

D Holste, I Grosse, H Herzel - Journal of Physics A: Mathematical …, 1998 - iopscience.iop.org
… the Rényi entropy. This paper is organized as follows. In section 2 we introduce the generalized
entropy concept, starting from the definition of the canonical (Shannon) entropy, which …

H-theorem and generalized entropies within the framework of nonlinear kinetics

G Kaniadakis - Physics Letters A, 2001 - Elsevier
entropy as the deformation parameter approaches to zero. … , we obtain the associated
generalized entropy. Subsequently, … which maximizes the generalized entropy, we demonstrate …

When do generalized entropies apply? How phase space volume determines entropy

R Hanel, S Thurner - Europhysics Letters, 2011 - iopscience.iop.org
… We give a concise criterion when this entropy is not of Boltzmann-Gibbs type but has to
assume a generalized (non-additive) form. We show that generalized entropies can only exist …

Generalized entropies and the transformation group of superstatistics

R Hanel, S Thurner… - Proceedings of the …, 2011 - National Acad Sciences
entropy principle (MEP) to reconstruct generalized entropies … widely used in the context of
generalized entropies, eg, refs. 17 … associated with the generalized entropies can be written as …

Some inequalities on generalized entropies

S Furuichi, N Minculete, FC Mitroi - Journal of Inequalities and Applications, 2012 - Springer
… Quite recently, we provided mathematical inequalities for some divergences in [19],
considering that it is important to study the mathematical inequalities for the development of …

Generalized entropy arising from a distribution of indices

GA Tsekouras, C Tsallis - Physical Review E—Statistical, Nonlinear, and Soft …, 2005 - APS
… using the generalized logarithm for defining a generalized entropy which … generalized
entropy under appropriate constraints. This distribution does not necessarily have the generalized