Identification of Probabilistic Cellular Automata
Author | : S. A. Billings |
Publisher | : |
Total Pages | : |
Release | : 1999 |
Genre | : Applied mathematics |
ISBN | : |
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Author | : S. A. Billings |
Publisher | : |
Total Pages | : |
Release | : 1999 |
Genre | : Applied mathematics |
ISBN | : |
Author | : Pierre-Yves Louis |
Publisher | : Springer |
Total Pages | : 350 |
Release | : 2018-02-21 |
Genre | : Mathematics |
ISBN | : 3319655582 |
This book explores Probabilistic Cellular Automata (PCA) from the perspectives of statistical mechanics, probability theory, computational biology and computer science. PCA are extensions of the well-known Cellular Automata models of complex systems, characterized by random updating rules. Thanks to their probabilistic component, PCA offer flexible computing tools for complex numerical constructions, and realistic simulation tools for phenomena driven by interactions among a large number of neighboring structures. PCA are currently being used in various fields, ranging from pure probability to the social sciences and including a wealth of scientific and technological applications. This situation has produced a highly diversified pool of theoreticians, developers and practitioners whose interaction is highly desirable but can be hampered by differences in jargon and focus. This book – just as the workshop on which it is based – is an attempt to overcome these difference and foster interest among newcomers and interaction between practitioners from different fields. It is not intended as a treatise, but rather as a gentle introduction to the role and relevance of PCA technology, illustrated with a number of applications in probability, statistical mechanics, computer science, the natural sciences and dynamical systems. As such, it will be of interest to students and non-specialists looking to enter the field and to explore its challenges and open issues.
Author | : Andrew I. Adamatzky |
Publisher | : CRC Press |
Total Pages | : 384 |
Release | : 1994-11-25 |
Genre | : Science |
ISBN | : 9780748401727 |
This book presents the foundation and development of the theory of cellular automata identification and its application to natural systems. It first sets out the known and proposes the new classes of cellular automata. Numerous examples are included for ease of understanding. It then deals with the designs of algorithms for cellular automata identification. Conceptual questions of automata theory are next addressed and the focus is shifted from synthesis to analysis and from pronostication to accurate factorization. Finally, the author discusses a number of naturally occuring specific instances with a view to expanding and transforming current ideas on cellular automata practice.
Author | : Andrew I. Adamatzky |
Publisher | : CRC Press |
Total Pages | : 384 |
Release | : 1994-11-30 |
Genre | : Science |
ISBN | : 9780748401734 |
This book presents the foundation and development of the theory of cellular automata identification and its application to natural systems. It first sets out the known and proposes the new classes of cellular automata. Numerous examples are included for ease of understanding. It then deals with the designs of algorithms for cellular automata identification. Conceptual questions of automata theory are next addressed and the focus is shifted from synthesis to analysis and from pronostication to accurate factorization. Finally, the author discusses a number of naturally occuring specific instances with a view to expanding and transforming current ideas on cellular automata practice.
Author | : Alejandro Salcido |
Publisher | : BoD – Books on Demand |
Total Pages | : 444 |
Release | : 2011-04-11 |
Genre | : Computers |
ISBN | : 9533071729 |
Modelling and simulation are disciplines of major importance for science and engineering. There is no science without models, and simulation has nowadays become a very useful tool, sometimes unavoidable, for development of both science and engineering. The main attractive feature of cellular automata is that, in spite of their conceptual simplicity which allows an easiness of implementation for computer simulation, as a detailed and complete mathematical analysis in principle, they are able to exhibit a wide variety of amazingly complex behaviour. This feature of cellular automata has attracted the researchers' attention from a wide variety of divergent fields of the exact disciplines of science and engineering, but also of the social sciences, and sometimes beyond. The collective complex behaviour of numerous systems, which emerge from the interaction of a multitude of simple individuals, is being conveniently modelled and simulated with cellular automata for very different purposes. In this book, a number of innovative applications of cellular automata models in the fields of Quantum Computing, Materials Science, Cryptography and Coding, and Robotics and Image Processing are presented.
Author | : Harold V. McIntosh |
Publisher | : Luniver Press |
Total Pages | : 294 |
Release | : 2009 |
Genre | : Computers |
ISBN | : 1905986203 |
The book deals with analytical and computational studies of spatially-extended discrete dynamical systems: one-dimensional cellular automata. The topics included are non-constructible configurations, reversibility, probabilistic analysis and De Bruijn diagrams. Techniques discussed are based on topology, matrix theory, formal languages and probability theory. The book is an excellent reading for anybody interested in non-linearity, emergency, complexity and self-organization.
Author | : Peter M.A. Sloot |
Publisher | : Springer Science & Business Media |
Total Pages | : 899 |
Release | : 2004-10-14 |
Genre | : Computers |
ISBN | : 3540235965 |
This book constitutes the refereed proceedings of the 6th International Conference on Cellular Automata for Research and Industry, ACRI 2004, held in Amsterdam, The Netherlands in October 2004. The 60 revised full papers and 30 poster papers presented were carefully reviewed and selected from 150 submissions. The papers are devoted to methods and theory; evolved cellular automata; traffic, networks, and communication; applications in science and engineering; biomedical applications, natural phenomena and ecology; and social and economical applications.