Universality classes and information-theoretic measures of complexity via group entropies.

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Tempesta, Piergiulio and Jensen, Henrik Jeldtoft (2020) Universality classes and information-theoretic measures of complexity via group entropies. Scientific reports, 10 (1). ISSN 2045-2322

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Official URL: http://dx.doi.org/10.1038/s41598-020-60188-y




Abstract

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 axioms. In addition, we require extensivity in order to ensure that our information measures are meaningful. The entropic measures proposed are suitably defined for describing universality classes of complex systems, each characterized by a specific state space growth rate function.


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© The Autor(s) 2020
This work has been partly supported by the research project FIS2015-63966, MINECO, Spain, and by the ICMAT Severo Ochoa project SEV-2015-0554 (MINECO). P.T. is member of the Gruppo Nazionale di Fisica Matematica (INDAM), Italy.

Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:62253
Deposited On:29 Sep 2020 14:58
Last Modified:29 Sep 2020 14:58

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