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

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 or...

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Autores principales: Tempesta, Piergiulio, Jensen, Henrik Jeldtoft
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7136250/
https://www.ncbi.nlm.nih.gov/pubmed/32249779
http://dx.doi.org/10.1038/s41598-020-60188-y
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author Tempesta, Piergiulio
Jensen, Henrik Jeldtoft
author_facet Tempesta, Piergiulio
Jensen, Henrik Jeldtoft
author_sort Tempesta, Piergiulio
collection PubMed
description 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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spelling pubmed-71362502020-04-11 Universality Classes and Information-Theoretic Measures of Complexity via Group Entropies Tempesta, Piergiulio Jensen, Henrik Jeldtoft Sci Rep Article 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. Nature Publishing Group UK 2020-04-06 /pmc/articles/PMC7136250/ /pubmed/32249779 http://dx.doi.org/10.1038/s41598-020-60188-y Text en © The Author(s) 2020 Open Access 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. The 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/.
spellingShingle Article
Tempesta, Piergiulio
Jensen, Henrik Jeldtoft
Universality Classes and Information-Theoretic Measures of Complexity via Group Entropies
title Universality Classes and Information-Theoretic Measures of Complexity via Group Entropies
title_full Universality Classes and Information-Theoretic Measures of Complexity via Group Entropies
title_fullStr Universality Classes and Information-Theoretic Measures of Complexity via Group Entropies
title_full_unstemmed Universality Classes and Information-Theoretic Measures of Complexity via Group Entropies
title_short Universality Classes and Information-Theoretic Measures of Complexity via Group Entropies
title_sort universality classes and information-theoretic measures of complexity via group entropies
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7136250/
https://www.ncbi.nlm.nih.gov/pubmed/32249779
http://dx.doi.org/10.1038/s41598-020-60188-y
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