Universality Classes and Information-Theoretic Measures of Complexity via Group Entropies-Reference-Cited by-同舟云学术

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

Published:2020-04-06 Issue:1 Volume:10 Page:
ISSN:2045-2322
Container-title:Scientific Reports
language:en
Short-container-title:Sci Rep

Author:

Tempesta Piergiulio,Jensen Henrik Jeldtoft^ORCID

Abstract

AbstractWe 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.

Publisher

Springer Science and Business Media LLC

Subject

Multidisciplinary

Link

http://www.nature.com/articles/s41598-020-60188-y.pdf

Reference42 articles.

1. Tempesta, P. Group entropies, correlation laws and zeta functions. Phys. Rev. E 84, 021121 (2011).

2. Tempesta, P. Beyond the Shannon-Khinchin Formulation: The Composability Axiom and the Universal Group Entropy. Ann. Phys. 365, 180–197 (2016).

3. Tempesta, P. Formal Groups and Z–Entropies. Proc. Royal Soc. A. 472, 20160143 (2016).

4. Mediano, P. A. M., Seth, A. K. & Barrett, A. B. Measuring integrated information: Comparison of candidate measures in theory and simulation. Entropy 21, 17 (2018).

5. Cohen, E. Statistics and Dynamics. Physica A 305, 19 (2002).

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