Cellular Automata

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Cellular Automata

Howard Gutowitz
Cellular Automata Book PDF

Author : Howard Gutowitz
Publisher : MIT Press
Page : 510 pages
File Size : 40,5 Mb
Release : 1991
Category : Computers
ISBN : 0262570866

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Cellular Automata by Howard Gutowitz Pdf

The thirty four contributions in this book cover many aspects of contemporary studies on cellular automata and include reviews, research reports, and guides to recent literature and available software. Cellular automata, dynamic systems in which space and time are discrete, are yielding interesting applications in both the physical and natural sciences. The thirty four contributions in this book cover many aspects of contemporary studies on cellular automata and include reviews, research reports, and guides to recent literature and available software. Chapters cover mathematical analysis, the structure of the space of cellular automata, learning rules with specified properties: cellular automata in biology, physics, chemistry, and computation theory; and generalizations of cellular automata in neural nets, Boolean nets, and coupled map lattices.Current work on cellular automata may be viewed as revolving around two central and closely related problems: the forward problem and the inverse problem. The forward problem concerns the description of properties of given cellular automata. Properties considered include reversibility, invariants, criticality, fractal dimension, and computational power. The role of cellular automata in computation theory is seen as a particularly exciting venue for exploring parallel computers as theoretical and practical tools in mathematical physics. The inverse problem, an area of study gaining prominence particularly in the natural sciences, involves designing rules that possess specified properties or perform specified task. A long-term goal is to develop a set of techniques that can find a rule or set of rules that can reproduce quantitative observations of a physical system. Studies of the inverse problem take up the organization and structure of the set of automata, in particular the parameterization of the space of cellular automata. Optimization and learning techniques, like the genetic algorithm and adaptive stochastic cellular automata are applied to find cellular automaton rules that model such physical phenomena as crystal growth or perform such adaptive-learning tasks as balancing an inverted pole.Howard Gutowitz is Collaborateur in the Service de Physique du Solide et Résonance Magnetique, Commissariat a I'Energie Atomique, Saclay, France.

Game of Life Cellular Automata

Andrew Adamatzky
Game of Life Cellular Automata Book PDF

Author : Andrew Adamatzky
Publisher : Springer Science & Business Media
Page : 579 pages
File Size : 47,8 Mb
Release : 2010-06-14
Category : Computers
ISBN : 9781849962179

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Game of Life Cellular Automata by Andrew Adamatzky Pdf

In the late 1960s British mathematician John Conway invented a virtual mathematical machine that operates on a two-dimensional array of square cell. Each cell takes two states, live and dead. The cells’ states are updated simultaneously and in discrete time. A dead cell comes to life if it has exactly three live neighbours. A live cell remains alive if two or three of its neighbours are alive, otherwise the cell dies. Conway’s Game of Life became the most programmed solitary game and the most known cellular automaton. The book brings together results of forty years of study into computational, mathematical, physical and engineering aspects of The Game of Life cellular automata. Selected topics include phenomenology and statistical behaviour; space-time dynamics on Penrose tilling and hyperbolic spaces; generation of music; algebraic properties; modelling of financial markets; semi-quantum extensions; predicting emergence; dual-graph based analysis; fuzzy, limit behaviour and threshold scaling; evolving cell-state transition rules; localization dynamics in quasi-chemical analogues of GoL; self-organisation towards criticality; asynochrous implementations. The volume is unique because it gives a comprehensive presentation of the theoretical and experimental foundations, cutting-edge computation techniques and mathematical analysis of the fabulously complex, self-organized and emergent phenomena defined by incredibly simple rules.

Cellular Automata Machines

Tommaso Toffoli,Norman Margolus
Cellular Automata Machines Book PDF

Author : Tommaso Toffoli,Norman Margolus
Publisher : MIT Press
Page : 284 pages
File Size : 45,5 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.

Modern Cellular Automata

Kendall Preston Jr.,Michael J.B. Duff
Modern Cellular Automata Book PDF

Author : Kendall Preston Jr.,Michael J.B. Duff
Publisher : Springer Science & Business Media
Page : 354 pages
File Size : 45,5 Mb
Release : 2013-06-29
Category : Computers
ISBN : 9781489903938

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Modern Cellular Automata by Kendall Preston Jr.,Michael J.B. Duff Pdf

It is with great pleasure that I present this fourth vol ume in the series "Advanced Applications in Pattern Recognition." It would be difficult to find two authors better versed in the design and application of parallel image processing systems, due to both their own many years of pioneering in the field and their encyclopedic knowledge of what is going on in uni versity and industrial laboratories around the world. The monograph is unique in its parallel presentation of orthogonal and hexagonal dissections, and the wealth of graphic illustration of algorithmic procedures for processing and analyz ing images in the various known implementations of parallel im age-processing architectures. This volume should find a place on the bookshelf of every practitioner of pattern recognition, image processing, and compu ter graphics. Morton Nadler General Editor vii PREFACE This book endeavors to introduce the reader to the subject of cellular logic and cellular automata and is devoted particu larly to those parts dealing with the manipulation of pictorial data. The study of cellular automata owes much to the pioneer ing work of John von Neumann during the 1950s. Von Neumann was interested in general problems in the behavior of computing structures and was immensely impressed by the complexity and performance of the human brain, which he felt must point to wards successful designs for automatic computing machines.

Cellular Automata

Alejandro Salcido
Cellular Automata Book PDF

Author : Alejandro Salcido
Publisher : BoD – Books on Demand
Page : 584 pages
File Size : 49,9 Mb
Release : 2011-04-11
Category : Computers
ISBN : 9789533072302

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Cellular Automata by Alejandro Salcido Pdf

Cellular automata make up a class of completely discrete dynamical systems, which have became a core subject in the sciences of complexity due to their conceptual simplicity, easiness of implementation for computer simulation, and their ability to exhibit a wide variety of amazingly complex behavior. The feature of simplicity behind complexity of cellular automata has attracted the researchers' attention from a wide range of divergent fields of study of science, which extend from the exact disciplines of mathematical physics up to the social ones, and beyond. Numerous complex systems containing many discrete elements with local interactions have been and are being conveniently modelled as cellular automata. In this book, the versatility of cellular automata as models for a wide diversity of complex systems is underlined through the study of a number of outstanding problems using these innovative techniques for modelling and simulation.

The Nature of Code

Daniel Shiffman
The Nature of Code Book PDF

Author : Daniel Shiffman
Publisher : No Starch Press
Page : 0 pages
File Size : 53,8 Mb
Release : 2024-09-03
Category : Computers
ISBN : 9781718503717

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The Nature of Code by Daniel Shiffman Pdf

All aboard The Coding Train! This beginner-friendly creative coding tutorial is designed to grow your skills in a fun, hands-on way as you build simulations of real-world phenomena with “The Coding Train” YouTube star Daniel Shiffman. How can we use code to capture the unpredictable properties of nature? How can understanding the mathematical principles behind our physical world help us create interesting digital environments? Written by “The Coding Train” YouTube star Daniel Shiffman, The Nature of Code is a beginner-friendly creative coding tutorial that explores a range of programming strategies for developing computer simulations of natural systems—from elementary concepts in math and physics to sophisticated machine-learning algorithms. Using the same enthusiastic style on display in Shiffman’s popular YT channel, this book makes learning to program fun, empowering you to generate fascinating graphical output while refining your problem-solving and algorithmic-thinking skills. You’ll progress from building a basic physics engine that simulates the effects of forces like gravity and wind resistance, to creating evolving systems of intelligent autonomous agents that can learn from their mistakes and adapt to their environment. The Nature of Code introduces important topics such as: Randomness Forces and vectors Trigonometry Cellular automata and fractals Genetic algorithms Neural networks Learn from an expert how to transform your beginner-level skills into writing well-organized, thoughtful programs that set the stage for further experiments in generative design. NOTE: All examples are written with p5.js, a JavaScript library for creative coding, and are available on the book's website.

The Cellular Automaton Interpretation of Quantum Mechanics

Gerard 't Hooft
The Cellular Automaton Interpretation of Quantum Mechanics Book PDF

Author : Gerard 't Hooft
Publisher : Springer
Page : 296 pages
File Size : 42,5 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.

Cellular Automata and Groups

Tullio Ceccherini-Silberstein,Michel Coornaert
Cellular Automata and Groups Book PDF

Author : Tullio Ceccherini-Silberstein,Michel Coornaert
Publisher : Springer Science & Business Media
Page : 440 pages
File Size : 40,8 Mb
Release : 2010-08-24
Category : Computers
ISBN : 9783642140341

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Cellular Automata and Groups by Tullio Ceccherini-Silberstein,Michel Coornaert Pdf

Cellular automata were introduced in the first half of the last century by John von Neumann who used them as theoretical models for self-reproducing machines. The authors present a self-contained exposition of the theory of cellular automata on groups and explore its deep connections with recent developments in geometric group theory, symbolic dynamics, and other branches of mathematics and theoretical computer science. The topics treated include in particular the Garden of Eden theorem for amenable groups, and the Gromov-Weiss surjunctivity theorem as well as the solution of the Kaplansky conjecture on the stable finiteness of group rings for sofic groups. The volume is entirely self-contained, with 10 appendices and more than 300 exercises, and appeals to a large audience including specialists as well as newcomers in the field. It provides a comprehensive account of recent progress in the theory of cellular automata based on the interplay between amenability, geometric and combinatorial group theory, symbolic dynamics and the algebraic theory of group rings which are treated here for the first time in book form.

Probabilistic Cellular Automata

Pierre-Yves Louis,Francesca R. Nardi
Probabilistic Cellular Automata Book PDF

Author : Pierre-Yves Louis,Francesca R. Nardi
Publisher : Springer
Page : 344 pages
File Size : 47,9 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.

Lattice-Gas Cellular Automata and Lattice Boltzmann Models

Dieter A. Wolf-Gladrow
Lattice Gas Cellular Automata and Lattice Boltzmann Models Book PDF

Author : Dieter A. Wolf-Gladrow
Publisher : Springer
Page : 314 pages
File Size : 42,9 Mb
Release : 2004-10-20
Category : Mathematics
ISBN : 9783540465867

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Lattice-Gas Cellular Automata and Lattice Boltzmann Models by Dieter A. Wolf-Gladrow Pdf

Lattice-gas cellular automata (LGCA) and lattice Boltzmann models (LBM) are relatively new and promising methods for the numerical solution of nonlinear partial differential equations. The book provides an introduction for graduate students and researchers. Working knowledge of calculus is required and experience in PDEs and fluid dynamics is recommended. Some peculiarities of cellular automata are outlined in Chapter 2. The properties of various LGCA and special coding techniques are discussed in Chapter 3. Concepts from statistical mechanics (Chapter 4) provide the necessary theoretical background for LGCA and LBM. The properties of lattice Boltzmann models and a method for their construction are presented in Chapter 5.

One Dimensional Cellular Automata

Harold V. McIntosh
One Dimensional Cellular Automata Book PDF

Author : Harold V. McIntosh
Publisher : Luniver Press
Page : 294 pages
File Size : 52,9 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.

Designing Beauty: The Art of Cellular Automata

Andrew Adamatzky,Genaro J. Martínez
Designing Beauty The Art of Cellular Automata Book PDF

Author : Andrew Adamatzky,Genaro J. Martínez
Publisher : Springer
Page : 191 pages
File Size : 55,6 Mb
Release : 2016-01-05
Category : Technology & Engineering
ISBN : 9783319272702

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Designing Beauty: The Art of Cellular Automata by Andrew Adamatzky,Genaro J. Martínez Pdf

This fascinating, colourful book offers in-depth insights and first-hand working experiences in the production of art works, using simple computational models with rich morphological behaviour, at the edge of mathematics, computer science, physics and biology. It organically combines ground breaking scientific discoveries in the theory of computation and complex systems with artistic representations of the research results. In this appealing book mathematicians, computer scientists, physicists, and engineers brought together marvelous and esoteric patterns generated by cellular automata, which are arrays of simple machines with complex behavior. Configurations produced by cellular automata uncover mechanics of dynamic patterns formation, their propagation and interaction in natural systems: heart pacemaker, bacterial membrane proteins, chemical rectors, water permeation in soil, compressed gas, cell division, population dynamics, reaction-diffusion media and self-organisation. The book inspires artists to take on cellular automata as a tool of creativity and it persuades scientists to convert their research results into the works of art. The book is lavishly illustrated with visually attractive examples, presented in a lively and easily accessible manner.

Cellular Automata in Image Processing and Geometry

Paul Rosin,Andrew Adamatzky,Xianfang Sun
Cellular Automata in Image Processing and Geometry Book PDF

Author : Paul Rosin,Andrew Adamatzky,Xianfang Sun
Publisher : Springer
Page : 304 pages
File Size : 40,9 Mb
Release : 2014-05-29
Category : Technology & Engineering
ISBN : 9783319064314

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Cellular Automata in Image Processing and Geometry by Paul Rosin,Andrew Adamatzky,Xianfang Sun Pdf

The book presents findings, views and ideas on what exact problems of image processing, pattern recognition and generation can be efficiently solved by cellular automata architectures. This volume provides a convenient collection in this area, in which publications are otherwise widely scattered throughout the literature. The topics covered include image compression and resizing; skeletonization, erosion and dilation; convex hull computation, edge detection and segmentation; forgery detection and content based retrieval; and pattern generation. The book advances the theory of image processing, pattern recognition and generation as well as the design of efficient algorithms and hardware for parallel image processing and analysis. It is aimed at computer scientists, software programmers, electronic engineers, mathematicians and physicists, and at everyone who studies or develops cellular automaton algorithms and tools for image processing and analysis, or develops novel architectures and implementations of massive parallel computing devices. The book will provide attractive reading for a general audience because it has do-it-yourself appeal: all the computer experiments presented within it can be implemented with minimal knowledge of programming. The simplicity yet substantial functionality of the cellular automaton approach, and the transparency of the algorithms proposed, makes the text ideal supplementary reading for courses on image processing, parallel computing, automata theory and applications.

Cellular Automaton Modeling of Biological Pattern Formation

Andreas Deutsch,Sabine Dormann
Cellular Automaton Modeling of Biological Pattern Formation Book PDF

Author : Andreas Deutsch,Sabine Dormann
Publisher : Birkhäuser
Page : 464 pages
File Size : 44,6 Mb
Release : 2018-03-09
Category : Mathematics
ISBN : 9781489979803

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Cellular Automaton Modeling of Biological Pattern Formation by Andreas Deutsch,Sabine Dormann Pdf

This text explores the use of cellular automata in modeling pattern formation in biological systems. It describes several mathematical modeling approaches utilizing cellular automata that can be used to study the dynamics of interacting cell systems both in simulation and in practice. New in this edition are chapters covering cell migration, tissue development, and cancer dynamics, as well as updated references and new research topic suggestions that reflect the rapid development of the field. The book begins with an introduction to pattern-forming principles in biology and the various mathematical modeling techniques that can be used to analyze them. Cellular automaton models are then discussed in detail for different types of cellular processes and interactions, including random movement, cell migration, adhesive cell interaction, alignment and cellular swarming, growth processes, pigment cell pattern formation, tissue development, tumor growth and invasion, and Turing-type patterns and excitable media. In the final chapter, the authors critically discuss possibilities and limitations of the cellular automaton approach in modeling various biological applications, along with future research directions. Suggestions for research projects are provided throughout the book to encourage additional engagement with the material, and an accompanying simulator is available for readers to perform their own simulations on several of the models covered in the text. QR codes are included within the text for easy access to the simulator. With its accessible presentation and interdisciplinary approach, Cellular Automaton Modeling of Biological Pattern Formation is suitable for graduate and advanced undergraduate students in mathematical biology, biological modeling, and biological computing. It will also be a valuable resource for researchers and practitioners in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science. PRAISE FOR THE FIRST EDITION “An ideal guide for someone with a mathematical or physical background to start exploring biological modelling. Importantly, it will also serve as an excellent guide for experienced modellers to innovate and improve their methodologies for analysing simulation results.” —Mathematical Reviews

Cellular Automata

M. Delorme,J. Mazoyer
Cellular Automata Book PDF

Author : M. Delorme,J. Mazoyer
Publisher : Springer Science & Business Media
Page : 394 pages
File Size : 51,8 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.