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1 Adamatzky, Andrew Cellular Automata I08961 2018 eBook  
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TitleCellular Automata : A Volume in the Encyclopedia of Complexity and Systems Science, Second Edition
Author(s)Adamatzky, Andrew
PublicationNew York, NY, Springer US, 2018.
Description425 illus., 190 illus. in color. eReference : online resource
Abstract NoteThis volume of the Encyclopedia of Complexity and Systems Science, Second Edition, provides an authoritative introduction and overview of the latest research in cellular automata (CA) models of physical systems, emergent phenomena, computational universality, chaos, growth phenomena, phase transitions, self-organised criticality, reaction-diffusion systems, self-replications, parallel computation, and more. Fundamental topics of algorithmic complexity, algebraic groups, language theory, evolving CA, ergodic theory, synchronisation, tiling problems and undecidability and topological dynamics of CA are addressed. Cellular automata are regular uniform networks of locally-connected finite-state machines, and represent discrete systems with non-trivial behavior, including waves, patterns and travelling localisations. CA are ubiquitous: they are mathematical models of computation and computer models of natural systems. Classes of CA presented in this book include additive CA, automata in hyperbolic spaces and non-compact spaces, CA in triangular, pentagonal and hexagonal tessellations, automata with memory, quantum and reversible automata, structurally-dynamic CA, and asynchronous automata. Topics added to the second edition include: asynchronous cellular automata, stochastic cellular automata as models of reaction-diffusion processes, cellular automata hardware implementation, cellular automata basins of attraction, orbits of Bernoulli measures in cellular automata, and graphs related to reversibility and complexity in cellular. This state-of-the-art reference is unique in bringing together unequalled expertise of interdisciplinary studies at the edge of mathematics, computer science, and physics
Keyword(s)1. APPLIED MATHEMATICS 2. COMPLEX SYSTEMS 3. Computation by Abstract Devices 4. Computer logic 5. Computer science???Mathematics 6. COMPUTERS 7. DISCRETE MATHEMATICS 8. Discrete Mathematics in Computer Science 9. DYNAMICAL SYSTEMS 10. EBOOK 11. EBOOK - SPRINGER 12. ENGINEERING MATHEMATICS 13. Logics and Meanings of Programs 14. Mathematical and Computational Engineering 15. STATISTICAL PHYSICS
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