655 citations · 9.2k across the 222 of their papers we have counts for
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Nonadditive entropy: the concept and its use
Constantino Tsallis
The entropic form is, for any , {\it nonadditive}. Indeed, for two probabilistically independent subsystems, it satisfies $S_q(A+B)/k=[S_q(A)/k]+[S_q(B)/k]+(1-q)[S_…
On the robustness of q-expectation values and Renyi entropy
Rudolf Hanel, Stefan Thurner, Constantino Tsallis
We study the robustness of functionals of probability distributions such as the Rényi and nonadditive S_q entropies, as well as the q-expectation values under small variations of t…
On "Ergodicity and Central Limit Theorem in Systems with Long-Range Interactions" by Figueiredo et al
A. Pluchino, A. Rapisarda, C. Tsallis
In the present paper we refute the criticism advanced in a recent preprint by Figueiredo et al [1] about the possible application of the -generalized Central Limit Theorem (CLT)…
q-Gaussians in the porous-medium equation: stability and time evolution
Veit Schwämmle, Fernando D. Nobre, Constantino Tsallis
The stability of -Gaussian distributions as particular solutions of the linear diffusion equation and its generalized nonlinear form, $\pderiv{P(x,t)}{t} = D \pderiv{^2 [P(x,t)]…
Strictly and asymptotically scale-invariant probabilistic models of correlated binary random variables having {\em q}--Gaussians as limiting distributions
A. Rodríguez, V. Schwämmle, C. Tsallis
In order to physically enlighten the relationship between {\it --independence} and {\it scale-invariance}, we introduce three types of asymptotically scale-invariant probabilist…
Escort mean values and the characterization of power-law-decaying probability densities
Constantino Tsallis, Angel R. Plastino, Ramon F. Alvarez-Estrada
Escort mean values (or -moments) constitute useful theoretical tools for describing basic features of some probability densities such as those which asymptotically decay like {\…