From Complexity to Information Geometry and Beyond

DOI10.33581/1561-4085-2020-23-2-212-220zbMath1452.94034OpenAlexW3047865691WikidataQ125747545 ScholiaQ125747545MaRDI QIDQ5145574

Demetris P. K. Ghikas

Publication date: 21 January 2021

Published in: Nonlinear Phenomena in Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33581/1561-4085-2020-23-2-212-220

zbMATH Keywords

complex systemsinformation geometrygeneralized entropies

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Differential geometric aspects of statistical manifolds and information geometry (53B12)

Cites Work

• Information geometry on complexity and stochastic interaction
• Deformed algebras and generalizations of independence on deformed exponential families
• What is a complex system?
• Geometry of \(q\)-exponential family of probability distributions
• The maximization of Tsallis entropy with complete deformed functions and the problem of constraints
• Information geometry of finite Ising models
• Dually flat geometries of the deformed exponential family
• An entropical characterization for complex systems becoming out of control
• Towards an information geometric characterization/classification of complex systems. I: Use of generalized entropies
• Towards an information geometric characterization/classification of complex systems. II: Critical parameter values from the (c,d)-manifold
• Introduction to Nonextensive Statistical Mechanics
• Outline of a New Approach to the Analysis of Complex Systems and Decision Processes
• A geometric approach to complexity
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