655 citations · 9.2k across the 222 of their papers we have counts for
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Generalized entropy arising from a distribution of q-indices
Giorgos-Artemios Tsekouras, Constantino Tsallis
It is by now well known that the Boltzmann-Gibbs (BG) entropy can be usefully generalized into the entropy $S_q=k (1-\sum_{i=1}^Wp_i^{q}) / (q-1…
Nonextensive statistical mechanics, anomalous diffusion and central limit theorems
Constantino Tsallis
We briefly review Boltzmann-Gibbs and nonextensive statistical mechanics as well as their connections with Fokker-Planck equations and with existing central limit theorems. We then…
On the extensivity of the entropy for specially correlated binary subsystems
Yuzuru Sato, Constantino Tsallis
Many natural and artificial systems whose range of interaction is long enough are known to exhibit (quasi)stationary states that defy the standard, Boltzmann-Gibbs statistical mech…
Preferential attachment growth model and nonextensive statistical mechanics
Danyel J. B. Soares, Constantino Tsallis, Ananias M. Mariz +1
We introduce a two-dimensional growth model where every new site is located, at a distance from the barycenter of the pre-existing graph, according to the probability law $1/r^…
Human and computer learning: An experimental study
Alexandra C. Tsallis, Constantino Tsallis, Aglae C. N. de Magalhaes +1
Simple memorizing tasks have been chosen such as a binary code on a matrix. After the establishment of an appropriate protocol, the codified matrices were individually presented to…
Is the entropy Sq extensive or nonextensive?
Constantino Tsallis
The cornerstones of Boltzmann-Gibbs and nonextensive statistical mechanics respectively are the entropies and $S_{q}\equiv k (1-\sum_{i…