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The q-Gaussian distribution is known to be an attractor of certain correlated systems, and is the distribution which, under appropriate constraints, maximizes the entropy S q , the basis of nonextensive statistical mechanics. This theory is postulated as a natural extension of the standard (Boltzmann-Gibbs) statistical mechanics, and may explain the… (More)

Ergodicity, this is to say, dynamics whose time averages coincide with ensemble averages, naturally leads to Boltzmann-Gibbs (BG) statistical mechanics, hence to standard thermodynamics. This formalism has been at the basis of an enormous success in describing, among others, the particular stationary state corresponding to thermal equilibrium. There are,… (More)

We propose a model for network formation and study some of its statistical properties. The motivation for the model comes from the growth of several kinds of real networks (i.e., kinship and trading networks, networks of corporate alliances, networks of autocatalytic chemical reactions). These networks grow either by establishing closer connections by… (More)

- Alexandra C Tsallis, Constantino Tsallis, Aglae C N De Magalhaes, Francisco A Tamarit
- 2004

Simple memorizing tasks have been chosen such as a binary code on a 5 × 5 matrix. After the establishment of an appropriate protocol, the codified matrices were individually presented to 150 university students (conveniently pre-selected) who had to memorize them. Multiple presentations were offered seeking perfect performance verified through the correct… (More)

We study chaotic orbits of conservative low–dimensional maps and present numerical results showing that the probability density functions (pdfs) of the sum of N iterates in the large N limit exhibit very interesting time-evolving statistics. In some cases where the chaotic layers are thin and the (positive) maximal Lyapunov exponent is small, long–lasting… (More)

- Douglas R White, Nataša Kejžar, Constantino Tsallis, Doyne Farmer, Scott White

We propose a model for network formation and study some of its statistical properties. The motivation for the model comes from the growth of several kinds of real networks (i.e. kinship and trading networks, networks of corporate alliances, networks of autocatalytic chemical reactions). These networks grow by either establishing closer connections by adding… (More)

We study the effect of a weak random additive noise in a linear chain of N locally coupled logistic maps at the edge of chaos. Maps tend to synchronize for a strong enough coupling, but if a weak noise is added, very intermittent fluctuations in the returns time series are observed. This intermittency tends to disappear when noise is increased. Considering… (More)

- Constantino Tsallis, Andre M C Souza
- Physical review. E, Statistical, nonlinear, and…
- 2003

The basic aspects of both Boltzmann-Gibbs (BG) and nonextensive statistical mechanics can be seen through three different stages. First, the proposal of an entropic functional (S(BG)=-k Sigma(i)p(i)ln p(i) for the BG formalism) with the appropriate constraints (Sigma(i)p(i)=1 and Sigma(i)p(i)E(i)=U for the BG canonical ensemble). Second, through… (More)