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arXiv · 1912.10907

Multivariate Group Entropies, Super-exponentially Growing Complex Systems and Functional Equations

Piergiulio Tempesta
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Abstract

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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Piergiulio Tempesta. 2019-12-23. Multivariate Group Entropies, Super-exponentially Growing Complex Systems and Functional Equations. https://doi.org/10.1063/5.0009846

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