The nonadditive entropy S q has been introduced in 1988 focusing on a generalization of
Boltzmann–Gibbs (BG) statistical mechanics. The aim was to cover a (possibly wide) class of …

The Boltzmann–Gibbs (BG) entropy and its associated statistical mechanics were
generalized, three decades ago, on the basis of the nonadditive entropy S q (q∈ R), which …

The concept of the renormalization group (RG) emerged from the renormalization of
quantum field variables, which is typically used to deal with the issue of divergences to …

A wide class of physical distributions appears to follow the q-Gaussian form, which plays the
role of attractor according to a q-generalized Central Limit Theorem, where a q-generalized …

We present a coupled variational autoencoder (VAE) method, which improves the accuracy
and robustness of the model representation of handwritten numeral images. The …

We briefly review the foundations and applications of statistical mechanics based on the
nonadditive entropies S q. Then we address four frequently focused points, namely (i) On …

The so called q-triplets were conjectured in 2004 [C. Tsallis, Physica A 340, 1 (2004)] and
then found in nature in 2005 [LF Burlaga, AF Vinas, Physica A 356, 375 (2005)]. A relevant …

In a paper by Umarov, Tsallis and Steinberg (2008), a generalization of the Fourier
transform, called the $ q $-Fourier transform, was introduced and applied for the proof of a …

The increased uncertainty and complexity of nonlinear systems have motivated investigators
to consider generalized approaches to defining an entropy function. New insights are …

Tsallis statistics, which is based on a non-additive entropy characterized by an index q, is a
very useful tool in physics and statistical mechanics. This paper presents an application of …