Composability in a certain family of entropies

Abstract

It is shown that the Tsallis entropies are the only entropies of the form $H(P)=-{\sum }_{i}f(p_i)$, with suitable assumptions on $f$, satisfying the condition of composability.

7 pages, updated references and introduction / discussion sections. Main text remains unchanged

References in corpus (1)

• Two-parameter generalization of the logarithm and exponential functions and Boltzmann-Gibbs-Shannon entropy