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oai:docta.ucm.es:20.500.14352/76612023-08-28T11:28:33Zcom_20.500.14352_14col_20.500.14352_15

Tempesta, Piergiulio 2023-06-17T08:56:58Z 2023-06-17T08:56:58Z 2020-12 1054-1500 10.1063/5.0009846 https://hdl.handle.net/20.500.14352/7661 http://dx.doi.org/10.1063/5.0009846 https://aip.scitation.org/ 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. eng open access Multivariate group entropies, super-exponentially growing complex systems, and functional equations journal article