Probabilistic Cellular Automata

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Author :
Release : 2018-03-01
Genre : Mathematics
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Book Rating : 567/5 ( reviews)

Probabilistic Cellular Automata - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Probabilistic Cellular Automata write by Pierre-Yves Louis. This book was released on 2018-03-01. Probabilistic Cellular Automata available in PDF, EPUB and Kindle. 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.

Probabilistic Cellular Automata

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Author :
Release : 2018-02-21
Genre : Mathematics
Kind :
Book Rating : 582/5 ( reviews)

Probabilistic Cellular Automata - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Probabilistic Cellular Automata write by Pierre-Yves Louis. This book was released on 2018-02-21. Probabilistic Cellular Automata available in PDF, EPUB and Kindle. 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.

Cellular Automata with Memory

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Author :
Release : 2008
Genre : Computers
Kind :
Book Rating : 807/5 ( reviews)

Cellular Automata with Memory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Cellular Automata with Memory write by Ramón Alonso-Sanz. This book was released on 2008. Cellular Automata with Memory available in PDF, EPUB and Kindle.

The Cellular Automaton Interpretation of Quantum Mechanics

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Release : 2016-09-02
Genre : Science
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Book Rating : 85X/5 ( reviews)

The Cellular Automaton Interpretation of Quantum Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Cellular Automaton Interpretation of Quantum Mechanics write by Gerard 't Hooft. This book was released on 2016-09-02. The Cellular Automaton Interpretation of Quantum Mechanics available in PDF, EPUB and Kindle. This book presents the deterministic view of quantum mechanics developed by Nobel Laureate Gerard 't Hooft. Dissatisfied with the uncomfortable gaps in the way conventional quantum mechanics meshes with the classical world, 't Hooft has revived the old hidden variable ideas, but now in a much more systematic way than usual. In this, quantum mechanics is viewed as a tool rather than a theory. The author gives examples of models that are classical in essence, but can be analysed by the use of quantum techniques, and argues that even the Standard Model, together with gravitational interactions, might be viewed as a quantum mechanical approach to analysing a system that could be classical at its core. He shows how this approach, even though it is based on hidden variables, can be plausibly reconciled with Bell's theorem, and how the usual objections voiced against the idea of ‘superdeterminism' can be overcome, at least in principle. This framework elegantly explains - and automatically cures - the problems of the wave function collapse and the measurement problem. Even the existence of an “arrow of time" can perhaps be explained in a more elegant way than usual. As well as reviewing the author’s earlier work in the field, the book also contains many new observations and calculations. It provides stimulating reading for all physicists working on the foundations of quantum theory.

One Dimensional Cellular Automata

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Release : 2009
Genre : Computers
Kind :
Book Rating : 203/5 ( reviews)

One Dimensional Cellular Automata - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook One Dimensional Cellular Automata write by Harold V. McIntosh. This book was released on 2009. One Dimensional Cellular Automata available in PDF, EPUB and Kindle. 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.