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

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Title: Universality classes and information-theoretic measures of complexity via group entropies
Authors: Jensen, H
Item Type: Journal Article
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 information measures proposed are suitably defined for describing universality classes of complex systems, each characterized by a specific state space growth rate function.
Issue Date: 6-Apr-2020
Date of Acceptance: 5-Feb-2020
URI: http://hdl.handle.net/10044/1/77616
DOI: 10.1038/s41598-020-60188-y
ISSN: 2045-2322
Publisher: Nature Publishing Group
Start Page: 1
End Page: 11
Journal / Book Title: Scientific Reports
Volume: 10
Copyright Statement: © The Author(s) 2020. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. Te images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
Publication Status: Published
Online Publication Date: 2020-04-06
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences