Probabilistic Cellular Automata

Author : Pierre-Yves Louis,Francesca R. Nardi
Publisher : Springer
Page : 344 pages
File Size : 46,9 Mb
Release : 2018-02-21
Category : Mathematics
ISBN : 9783319655581

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Probabilistic Cellular Automata by Pierre-Yves Louis,Francesca R. Nardi Pdf

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 : Giancarlo Mauri,Samira El Yacoubi,Alberto Dennunzio,Katsuhiro Nishinari,Luca Manzoni
Publisher : Springer
Page : 528 pages
File Size : 42,7 Mb
Release : 2018-09-03
Category : Computers
ISBN : 9783319998138

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Cellular Automata by Giancarlo Mauri,Samira El Yacoubi,Alberto Dennunzio,Katsuhiro Nishinari,Luca Manzoni Pdf

This book constitutes the proceedings of the 13th International Conference on Cellular Automata for Research and Industry, ACRI 2018, held in Como, Italy, in September 2018. The 47 full papers presented in this volume were carefully reviewed and selected from 64 submissions. This volume contains invited contributions and accepted papers from the main track and from the three organized workshops. The volume is organized in the following topics: biological systems modeling; simulation and other applications of CA; multi-agent systems; pedestrian and traffic dynamics; synchronization and control; theory and cryptography; asynchronous cellular automata; and crowds, traffic and cellular automata.

Author : M. Delorme,J. Mazoyer
Publisher : Springer Science & Business Media
Page : 394 pages
File Size : 45,9 Mb
Release : 1998-12-31
Category : Computers
ISBN : 0792354931

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Cellular Automata by M. Delorme,J. Mazoyer Pdf

Cellular automata can be viewed both as computational models and modelling systems of real processes. This volume emphasises the first aspect. In articles written by leading researchers, sophisticated massive parallel algorithms (firing squad, life, Fischer's primes recognition) are treated. Their computational power and the specific complexity classes they determine are surveyed, while some recent results in relation to chaos from a new dynamic systems point of view are also presented. Audience: This book will be of interest to specialists of theoretical computer science and the parallelism challenge.

Author : N. Boccara,E. Goles,Servet Martínez,Pierre Picco
Publisher : Springer Science & Business Media
Page : 545 pages
File Size : 44,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401116916

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Cellular Automata and Cooperative Systems by N. Boccara,E. Goles,Servet Martínez,Pierre Picco Pdf

This book contains the lectures given at the NATO Advanced Study Institute on `Cellular Automata and Cooperative Systems', held at Les Houches, France, from June 22 to July 2, 1992. The book contains contributions by mathematical and theoretical physicists and mathematicians working in the field of local interacting systems, cellular probabilistic automata, statistical physics, and complexity theory, as well as the applications of these fields.

Author : Harold V. McIntosh
Publisher : Luniver Press
Page : 294 pages
File Size : 48,9 Mb
Release : 2009
Category : Computers
ISBN : 9781905986200

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One Dimensional Cellular Automata by Harold V. McIntosh Pdf

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 : Henryk Fukś
Publisher : Springer Nature
Page : 304 pages
File Size : 45,9 Mb
Release : 2023-10-09
Category : Science
ISBN : 9783031387005

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Solvable Cellular Automata by Henryk Fukś Pdf

The main focus of the book is solvability of cellular automata, that is, expressing the state of a given cell after a given number of steps by an explicit formula. The author considers solutions of two types of initial value problems for cellular automata, the deterministic one and the probabilistic one. In the first chapter the basic concepts of cellular automata theory are introduced. Deterministic initial value problem is introduced next and solutions for selected simple rules are also presented. In the following chapters various techniques for solving the deterministic problem are introduced, using elementary CA rules of increasing complexity as examples. The second part of the book introduces the concept of probability measure in the context of cellular automata and the probabilistic initial value problem for both deterministic and probabilistic rules. The book is amply illustrated with examples and applications such as the density classification problem, phase transitions in traffic models or the diffusion of innovations model. In the appendix, solution formulae (both deterministic and probabilistic) for over 60 elementary cellular automata rules are listed. Ruelle-Frobenius-Perron equations for all 88 minimal elementary cellular automata are also provided.

Author : Alejandro Salcido
Publisher : BoD – Books on Demand
Page : 444 pages
File Size : 47,9 Mb
Release : 2011-04-11
Category : Computers
ISBN : 9789533071725

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Cellular Automata by Alejandro Salcido Pdf

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 : Paul Manneville,Nino Boccara,Gerard Y. Vichniac,Roger Bidaux
Publisher : Springer
Page : 319 pages
File Size : 51,9 Mb
Release : 2011-12-06
Category : Science
ISBN : 3642752616

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Cellular Automata and Modeling of Complex Physical Systems by Paul Manneville,Nino Boccara,Gerard Y. Vichniac,Roger Bidaux Pdf

Cellular automata are fully discrete dynamical systems with dynamical variables defined at the nodes of a lattice and taking values in a finite set. Application of a local transition rule at each lattice site generates the dynamics. The interpretation of systems with a large number of degrees of freedom in terms of lattice gases has received considerable attention recently due to the many applications of this approach, e.g. for simulating fluid flows under nearly realistic conditions, for modeling complex microscopic natural phenomena such as diffusion-reaction or catalysis, and for analysis of pattern-forming systems. The discussion in this book covers aspects of cellular automata theory related to general problems of information theory and statistical physics, lattice gas theory, direct applications, problems arising in the modeling of microscopic physical processes, complex macroscopic behavior (mostly in connection with turbulence), and the design of special-purpose computers.

Author : Tommaso Toffoli,Norman Margolus
Publisher : MIT Press
Page : 284 pages
File Size : 53,5 Mb
Release : 1987
Category : Computers
ISBN : 0262200600

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Cellular Automata Machines by Tommaso Toffoli,Norman Margolus Pdf

Theory of Computation -- Computation by Abstracts Devices.

Author : Gerard 't Hooft
Publisher : Springer
Page : 296 pages
File Size : 48,6 Mb
Release : 2016-09-02
Category : Science
ISBN : 9783319412856

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The Cellular Automaton Interpretation of Quantum Mechanics by Gerard 't Hooft Pdf

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.

Author : Ramón Alonso-Sanz
Publisher : Archives contemporaines
Page : 259 pages
File Size : 45,6 Mb
Release : 2008
Category : Computers
ISBN : 9782914610803

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Cellular Automata with Memory by Ramón Alonso-Sanz Pdf

Author : Xuewei Li,Jinpei Wu,Xueyan Li
Publisher : Springer
Page : 352 pages
File Size : 55,7 Mb
Release : 2018-05-17
Category : Business & Economics
ISBN : 9789811074974

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Theory of Practical Cellular Automaton by Xuewei Li,Jinpei Wu,Xueyan Li Pdf

This book addresses the intellectual foundations, function, modeling approaches and complexity of cellular automata; explores cellular automata in combination with genetic algorithms, neural networks and agents; and discusses the applications of cellular automata in economics, traffic and the spread of disease. Pursuing a blended approach between knowledge and philosophy, it assigns equal value to methods and applications.

Author : Bastien Chopard,Michel Droz
Publisher : Cambridge University Press
Page : 356 pages
File Size : 40,6 Mb
Release : 2005-06-30
Category : Science
ISBN : 0521673453

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Cellular Automata Modeling of Physical Systems by Bastien Chopard,Michel Droz Pdf

This book provides a self-contained introduction to cellular automata and lattice Boltzmann techniques. Beginning with a chapter introducing the basic concepts of this developing field, a second chapter describes methods used in cellular automata modeling. Following chapters discuss the statistical mechanics of lattice gases, diffusion phenomena, reaction-diffusion processes and non-equilibrium phase transitions. A final chapter looks at other models and applications, such as wave propagation and multiparticle fluids. With a pedagogic approach, the volume focuses on the use of cellular automata in the framework of equilibrium and non-equilibrium statistical physics. It also emphasises application-oriented problems such as fluid dynamics and pattern formation. The book contains many examples and problems. A glossary and a detailed bibliography are also included. This will be a valuable book for graduate students and researchers working in statistical physics, solid state physics, chemical physics and computer science.

Author : Jacques Demongeot,E. Golès,Maurice Tchuente
Publisher : Unknown
Page : 432 pages
File Size : 43,9 Mb
Release : 1985
Category : Mathematics
ISBN : UOM:39015009791263

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Dynamical Systems and Cellular Automata by Jacques Demongeot,E. Golès,Maurice Tchuente Pdf

Author : Stephen Wolfram
Publisher : CRC Press
Page : 608 pages
File Size : 48,9 Mb
Release : 2018-03-08
Category : Mathematics
ISBN : 9780429962646

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Cellular Automata And Complexity by Stephen Wolfram Pdf

Are mathematical equations the best way to model nature? For many years it had been assumed that they were. But in the early 1980s, Stephen Wolfram made the radical proposal that one should instead build models that are based directly on simple computer programs. Wolfram made a detailed study of a class of such models known as cellular automata, and discovered a remarkable fact: that even when the underlying rules are very simple, the behaviour they produce can be highly complex, and can mimic many features of what we see in nature. And based on this result, Wolfram began a program of research to develop what he called A Science of Complexity."The results of Wolfram's work found many applications, from the so-called Wolfram Classification central to fields such as artificial life, to new ideas about cryptography and fluid dynamics. This book is a collection of Wolfram's original papers on cellular automata and complexity. Some of these papers are widely known in the scientific community others have never been published before. Together, the papers provide a highly readable account of what has become a major new field of science, with important implications for physics, biology, economics, computer science and many other areas.