%0 Journal Article
%A Tempesta, Piergiulio
%T Multivariate group entropies, super-exponentially growing complex systems, and functional equations
%D 2020
%@ 1054-1500
%U https://hdl.handle.net/20.500.14352/7661
%X We define the class of multivariate group entropies as a novel set of information-theoretical measures, which extends significantly the family of group entropies. We propose new examples related to the "super-exponential" universality class of complex systems; in particular, we introduce a general entropy, representing a suitable information measure for this class. We also show that the group-theoretical structure associated with our multivariate entropies can be used to define a large family of exactly solvable discrete dynamical models. The natural mathematical framework allowing us to formulate this correspondence is offered by the theory of formal groups and rings.
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