Titlebook: Complex and Adaptive Dynamical Systems; A Comprehensive Intr Claudius Gros Textbook 2024Latest edition The Editor(s) (if applicable) and Th

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Information Theory of Complex Systems,in the context of time series analysis, and as starting points for the formulation of quantitative measures of complexity. The chapter concludes with a short overview regarding generative approaches to complexity.

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er on machine learning.Expanded solutions available for all .This textbook offers a comprehensive introduction to the concepts underpinning our modern understanding of complex and emergent behavior. Mathematical methods necessary for the discussion are introduced and explained on the run. All deriva

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https://doi.org/10.1007/978-3-322-87175-6 understanding will be attained with the help of random branching theory. The chapter concludes with a discussion of whether self-organized criticality occurs in the most adaptive dynamical system of all, namely in the context of long-term evolution.

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Textbook 2024Latest editionrganized criticality, synchronization phenomena, and a game-theoretical treatment of the tragedy of the commons. The dynamical systems view of modern machine learning is presented in a new chapter..Chapters include exercises and suggestions for further reading. The textbook is suitable for graduate

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Darwinian Evolution, Hypercycles and Game Theory,ics. For Darwinian evolution the core notions are fitness, selection and mutation. On this basis, generic concepts from dynamical systems theory unfold, like the phenomenon of stochastic escape. Furthermore we will show that evolutionary processes affect not only the welfare of an individual species