Universality classes of complex systems, information-theoretic measures of complexity and group entropies

Piergiulio Tempesta, Henrik Jeldtoft Jensen

Published 2019-03-18Version 1

We introduce a class of information measures based on group entropies, allowing us to describe the information-theoretical properties of complex systems. These entropic measures are nonadditive, and are mathematically deduced from a series of natural requirements. In particular, we introduce an extensivity postulate as a natural requirement for an information measure to be meaningful. The information measures proposed are suitably defined for describing universality classes of complex systems, each characterized by a specific phase space growth rate function.