The Boltzmann–Gibbs (BG) statistical mechanics constitutes one of the pillars of
contemporary theoretical physics. It is constructed upon the other pillars—classical …

The pillars of contemporary theoretical physics are classical mechanics, Maxwell
electromagnetism, relativity, quantum mechanics, and Boltzmann–Gibbs (BG) statistical …

The book is devoted to the mathematical foundations of nonextensive statistical mechanics.
This is the first book containing the systematic presentation of the mathematical theory and …

The Beck-Cohen superstatistics became an important theory in the scenario of complex
systems because it generates distributions representing regions of a nonequilibrium system …

Boltzmann–Gibbs statistical mechanics applies satisfactorily to a plethora of systems. It fails
however for complex systems generically involving nonlocal space–time entanglement. Its …

Despite its centennial successes in describing physical systems at thermal equilibrium,
Boltzmann–Gibbs (BG) statistical mechanics have exhibited, in the last several decades …

We use the configuration model to generate random networks having a degree distribution
that follows aq-exponential, P q (k)=(2− q) λ [1−(1− q) λ k]− 1/(q− 1), for arbitrary values of the …

Abstract Systems that consist of many localized constituents interacting with each other can
be represented by complex networks. Consistently, network science has become highly …

We use the configuration model to generate networks having a degree distribution that
follows a $ q $-exponential, $ P_q (k)=(2-q)\lambda [1-(1-q)\lambda k]^{1/(q-1)} $, for …

In the field of statistical mechanics and system science, it is acknowledged that the financial
crisis has a profound influence on stock market. However, the influence of total asset of …