Metaphors, generalizations and unifications are natural and desirable ingredients of the
evolution of scientific theories and concepts. Physics, in particular, obviously walks along …

The Gibbs–Jaynes path for introducing statistical mechanics is based on the adoption of a
specific entropic form Sand of physically appropriate constraints. For instance, for the usual …

The domain of validity of standard thermodynamics and Boltzmann-Gibbs statistical
mechanics is discussed and then formally enlarged in order to hopefully cover a variety of …

Nonextensive statistical mechanics is now a rapidly growing field and a new stream in the
research of the foundations of statistical mechanics. This generalization of the well-known …

Through the use of a recently introduced, nonextensive, entropy, we generalize that of
Kullback and Leibler [Ann. Math. Stat. 22, 79 (1961)] and study its properties. This in turn …

The domain of validity of standard thermodynamics and Boltzmann-Gibbs statistical
mechanics is focused on along a historical perspective. It is then formally enlarged in order …

An updated review (corresponding to the inaugural talk delivered at the The International
Workshop on Classical and Quantum Complexity and Nonextensive Thermodynamics …

In this Letter, we show that the Shore-Johnson axioms for the maximum entropy principle in
statistical estimation theory account for a considerably wider class of entropic functional than …

The kinetic foundations of Tsallis' nonextensive thermostatistics are investigated through
Boltzmann's transport equation approach. Our analysis follows from a nonextensive …

A generalized nonextensive two-parameter entropy is developed, along lines which unify
current nonextensive frameworks. It recovers, as particular cases, the Tsallis and symmetric …