Statistical Mechanics and Information-Theoretic Perspectives on Complexity in the Earth System
This review provides a summary of methods originated in (non-equilibrium) statistical mechanics and information theory, which have recently found successful applications to quantitatively studying complexity in various components of the complex system Earth. Specifically, we discuss two classes of m...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2013-11-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/15/11/4844 |
| _version_ | 1798041027872817152 |
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| author | Konstantinos Eftaxias Jürgen Kurths Ioannis A. Daglis Constantinos Papadimitriou Stelios M. Potirakis Jakob Runge Reik V. Donner Georgios Balasis |
| author_facet | Konstantinos Eftaxias Jürgen Kurths Ioannis A. Daglis Constantinos Papadimitriou Stelios M. Potirakis Jakob Runge Reik V. Donner Georgios Balasis |
| author_sort | Konstantinos Eftaxias |
| collection | DOAJ |
| description | This review provides a summary of methods originated in (non-equilibrium) statistical mechanics and information theory, which have recently found successful applications to quantitatively studying complexity in various components of the complex system Earth. Specifically, we discuss two classes of methods: (i) entropies of different kinds (e.g., on the one hand classical Shannon and R´enyi entropies, as well as non-extensive Tsallis entropy based on symbolic dynamics techniques and, on the other hand, approximate entropy, sample entropy and fuzzy entropy); and (ii) measures of statistical interdependence and causality (e.g., mutual information and generalizations thereof, transfer entropy, momentary information transfer). We review a number of applications and case studies utilizing the above-mentioned methodological approaches for studying contemporary problems in some exemplary fields of the Earth sciences, highlighting the potentials of different techniques. |
| first_indexed | 2024-04-11T22:15:45Z |
| format | Article |
| id | doaj.art-ca12399e22cc4d6ab93f1ed06ddd3927 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T22:15:45Z |
| publishDate | 2013-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-ca12399e22cc4d6ab93f1ed06ddd39272022-12-22T04:00:24ZengMDPI AGEntropy1099-43002013-11-0115114844488810.3390/e15114844Statistical Mechanics and Information-Theoretic Perspectives on Complexity in the Earth SystemKonstantinos EftaxiasJürgen KurthsIoannis A. DaglisConstantinos PapadimitriouStelios M. PotirakisJakob RungeReik V. DonnerGeorgios BalasisThis review provides a summary of methods originated in (non-equilibrium) statistical mechanics and information theory, which have recently found successful applications to quantitatively studying complexity in various components of the complex system Earth. Specifically, we discuss two classes of methods: (i) entropies of different kinds (e.g., on the one hand classical Shannon and R´enyi entropies, as well as non-extensive Tsallis entropy based on symbolic dynamics techniques and, on the other hand, approximate entropy, sample entropy and fuzzy entropy); and (ii) measures of statistical interdependence and causality (e.g., mutual information and generalizations thereof, transfer entropy, momentary information transfer). We review a number of applications and case studies utilizing the above-mentioned methodological approaches for studying contemporary problems in some exemplary fields of the Earth sciences, highlighting the potentials of different techniques.http://www.mdpi.com/1099-4300/15/11/4844entropy measuressymbolic dynamicsnon-extensive statistical mechanicscausalityEarth sciences |
| spellingShingle | Konstantinos Eftaxias Jürgen Kurths Ioannis A. Daglis Constantinos Papadimitriou Stelios M. Potirakis Jakob Runge Reik V. Donner Georgios Balasis Statistical Mechanics and Information-Theoretic Perspectives on Complexity in the Earth System Entropy entropy measures symbolic dynamics non-extensive statistical mechanics causality Earth sciences |
| title | Statistical Mechanics and Information-Theoretic Perspectives on Complexity in the Earth System |
| title_full | Statistical Mechanics and Information-Theoretic Perspectives on Complexity in the Earth System |
| title_fullStr | Statistical Mechanics and Information-Theoretic Perspectives on Complexity in the Earth System |
| title_full_unstemmed | Statistical Mechanics and Information-Theoretic Perspectives on Complexity in the Earth System |
| title_short | Statistical Mechanics and Information-Theoretic Perspectives on Complexity in the Earth System |
| title_sort | statistical mechanics and information theoretic perspectives on complexity in the earth system |
| topic | entropy measures symbolic dynamics non-extensive statistical mechanics causality Earth sciences |
| url | http://www.mdpi.com/1099-4300/15/11/4844 |
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