Universality classes and information-theoretic measures of complexity via group entropies
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Published version
Author(s)
Jensen, Henrik
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.
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.
Date Issued
2020-04-06
Date Acceptance
2020-02-05
Citation
Scientific Reports, 2020, 10, pp.1-11
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/.
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/.
Identifier
https://www.nature.com/articles/s41598-020-60188-y
Publication Status
Published
Date Publish Online
2020-04-06