3 papers
cond-mat.stat-mech2024
On the origin of escort distributions for q-entropies
Nikolaos Kalogeropoulos
We present an argument about the origin of escort distributions used in conjunction with the q-entropy in non-additive thermo-statistics. The origin of the escort distributions is…
cond-mat.stat-mech2024
Composition of q-entropies and hyperbolic orthogonality
Nikolaos Kalogeropoulos
We point out that the q-entropy composition for independent events has exactly the same form as the Pythagorean theorem in hyperbolic geometry. We justify the formal relation of hy…
cond-mat.stat-mech2024
Logarithmic and power-law entropies from convexity
Nikolaos Kalogeropoulos
In an attempt to understand the origin and robustness of the Boltzmann/Gibbs/Shannon entropic functional, we adopt a geometric approach and discuss the implications of the Johnson-…