655 citations · 9.2k across the 222 of their papers we have counts for
9 papers · 2 filters
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 {\…
A closer look at time averages of the logistic map at the edge of chaos
Ugur Tirnakli, Constantino Tsallis, Christian Beck
The probability distribution of sums of iterates of the logistic map at the edge of chaos has been recently shown [see U. Tirnakli, C. Beck and C. Tsallis, Phys. Rev. E 75, 040106(…