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

Universality Classes and Information-Theoretic Measures of Complexity via Group Entropies