373 citations · 1.1k across the 29 of their papers we have counts for
29 papers
Nonlinear dynamical systems: Time reversibility {\it versus} sensitivity to the initial conditions
Constantino Tsallis, Ernesto P. Borges
Time reversal of vast classes of phenomena has direct implications with predictability, causality and the second principle of thermodynamics. We analyze in detail time reversibilit…
Time evolution of nonadditive entropies: The logistic map
Constantino Tsallis, Ernesto P. Borges
Due to the second principle of thermodynamics, the time dependence of entropy for all kinds of systems under all kinds of physical circumstances always thrives interest. The logist…
Along the lines of nonadditive entropies: -prime numbers and -zeta functions
Ernesto P. Borges, Takeshi Kodama, Constantino Tsallis
The rich history of prime numbers includes great names such as Euclid, who first analytically studied the prime numbers and proved that there is an infinite number of them, Euler,…
Deformed mathematical objects stemming from the -logarithm function
Ernesto P. Borges, Bruno G. da Costa
Generalized numbers, arithmetic operators and derivative operators, grouped in four classes based on symmetry features, are introduced. Their building element is the pair of -lo…
Algebraic structures and deformed Schrödinger equations from groups entropies
Ignacio S. Gomez, Ernesto P. Borges
Motivated by the group entropy theory, in this work we generalize the algebra of real numbers (that we called G-algebra), from which we develop an associated G-differential calculu…
Fisher metric from relative entropy group
Ignacio S. Gomez, Ernesto P. Borges, M. Portesi
In this work we consider the Fisher metric which results from the Hessian of the relative entropy group, that we called Fisher metric group, and we obtain the corresponding ones to…