Cellular Automata And Groups

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Cellular Automata and Groups

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

Author : Tullio Ceccherini-Silberstein,Michel Coornaert
Publisher : Springer Nature
Page : 562 pages
File Size : 43,9 Mb
Release : 2024-02-16
Category : Mathematics
ISBN : 9783031433283

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

This unique book provides a self-contained exposition of the theory of cellular automata on groups and explores its deep connections with recent developments in geometric and combinatorial group theory, amenability, symbolic dynamics, the algebraic theory of group rings, and other branches of mathematics and theoretical computer science. The topics treated include the Garden of Eden theorem for amenable groups, the Gromov–Weiss surjunctivity theorem, and the solution of the Kaplansky conjecture on the stable finiteness of group rings for sofic groups. Entirely self-contained and now in its second edition, the volume includes 10 appendices and more than 600 exercises, the solutions of which are presented in the companion book Exercises in Cellular Automata and Groups (2023) by the same authors. It will appeal to a large audience, including specialists and newcomers to the field.

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 : 446 pages
File Size : 54,7 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.

Exercises in Cellular Automata and Groups

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

Author : Tullio Ceccherini-Silberstein,Michel Coornaert
Publisher : Springer Nature
Page : 638 pages
File Size : 48,6 Mb
Release : 2023-11-01
Category : Mathematics
ISBN : 9783031103919

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

This book complements the authors’ monograph Cellular Automata and Groups [CAG] (Springer Monographs in Mathematics). It consists of more than 600 fully solved exercises in symbolic dynamics and geometric group theory with connections to geometry and topology, ring and module theory, automata theory and theoretical computer science. Each solution is detailed and entirely self-contained, in the sense that it only requires a standard undergraduate-level background in abstract algebra and general topology, together with results established in [CAG] and in previous exercises. It includes a wealth of gradually worked out examples and counterexamples presented here for the first time in textbook form. Additional comments provide some historical and bibliographical information, including an account of related recent developments and suggestions for further reading. The eight-chapter division from [CAG] is maintained. Each chapter begins with a summary of the main definitions and results contained in the corresponding chapter of [CAG]. The book is suitable either for classroom or individual use. Foreword by Rostislav I. Grigorchuk

Cellular Automata and Discrete Complex Systems

Matthew Cook,Turlough Neary
Cellular Automata and Discrete Complex Systems Book PDF

Author : Matthew Cook,Turlough Neary
Publisher : Springer
Page : 199 pages
File Size : 48,6 Mb
Release : 2016-06-01
Category : Computers
ISBN : 9783319393001

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Cellular Automata and Discrete Complex Systems by Matthew Cook,Turlough Neary Pdf

This volume constitutes the thoroughly refereed proceedings of the 22nd IFIP WG 1.5International Workshop on Cellular Automata and Discrete ComplexSystems, AUTOMATA 2016, held in Zurich, Switzerland, in June 2016. This volume contains 3 invited talks in full-paper length and 12 regularpapers, which were carefully reviewed and selected from a total of 23submissions. The papers feature research on all fundamental aspects of cellular automata and related discrete complex systems and deal with the following topics: dynamical, topological, ergodic and algebraic aspects; algorithmic and complexity issues; emergent properties; formal language processing; symbolic dynamics; models of parallelism and distributed systems; timing schemes; phenomenological descriptions; scientific modeling; and practical applications.

Cellular Automata

Samira El Yacoubi,Jarosław Wąs,Stefania Bandini
Cellular Automata Book PDF

Author : Samira El Yacoubi,Jarosław Wąs,Stefania Bandini
Publisher : Springer
Page : 468 pages
File Size : 47,6 Mb
Release : 2016-08-29
Category : Computers
ISBN : 9783319443652

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Cellular Automata by Samira El Yacoubi,Jarosław Wąs,Stefania Bandini Pdf

This book constitutes the proceedings of the 12th International Conference on Cellular Automata for Research and Industry, ACRI 2016, held in Fez, Morocco, in September 2014. The 45 full papers and 4 invited talks presented in this volume were carefully reviewed and selected from 59 submissions. This volume contains invited contributions and accepted papers from the main track and from the three organized workshops. The first part is organized according to three topics: (1) Cellular Automata Theory and Implementation (2) Cellular Automata Dynamics and Synchronization, (3) Asynchronous Cellular Automata and Asynchronous Discrete Models - ACA. The second part of the volume contains three topics: (4) Modelling and Sim-ulation with Cellular Automata (5) Crowds, Traffic and Cellular Automata –CT&CA (6) Agent-Based Simulation and Cellular Automata – ABS&CA.

Geometric Group Theory Down Under

John Cossey,Charles F. Miller,Walter D. Neumann,Michael Shapiro
Geometric Group Theory Down Under Book PDF

Author : John Cossey,Charles F. Miller,Walter D. Neumann,Michael Shapiro
Publisher : Walter de Gruyter
Page : 349 pages
File Size : 46,6 Mb
Release : 2011-05-02
Category : Mathematics
ISBN : 9783110806861

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Geometric Group Theory Down Under by John Cossey,Charles F. Miller,Walter D. Neumann,Michael Shapiro Pdf

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Cellular Automata

Georgios Ch. Sirakoulis,Stefania Bandini
Cellular Automata Book PDF

Author : Georgios Ch. Sirakoulis,Stefania Bandini
Publisher : Springer
Page : 875 pages
File Size : 49,5 Mb
Release : 2012-09-20
Category : Computers
ISBN : 9783642333507

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Cellular Automata by Georgios Ch. Sirakoulis,Stefania Bandini Pdf

This book constitutes the refereed proceedings of the 10th International Conference on Cellular Automata for Research and Industry, ACRI 2012, held in Santorini Island, Greece, in September 2012. The 88 revised papers were carefully selected from numerous submissions. In order to give a perspective in which both theoretical and applicational aspects of cellular automata contribute to the growth of the area, this book mirrors the structure of the conference, grouping the 88 papers into two main parts. The first part collects papers presented as part of the main conference and organized according to six main topics: theoretical results on cellular automata; cellular automata dynamics, control and synchronization; cellular automata and networks; modeling and simulation with cellular automata; cellular automata-based hardware and architectures; codes, pseudorandom number generators and cryptography with cellular automata. The second part of the volume is dedicated to contributions presented during the ACRI 2012 workshops on theoretical advances, specifically asynchronous cellular automata, and challenging application contexts for cellular automata: crowds and CA, traffic and CA, and the satellite Workshop on cellular automata of cancer growth and invasion.

Additive Cellular Automata

Parimal Pal Chaudhuri,Dipanwita Roy Chowdhury,Sukumar Nandi,Santanu Chattopadhyay
Additive Cellular Automata Book PDF

Author : Parimal Pal Chaudhuri,Dipanwita Roy Chowdhury,Sukumar Nandi,Santanu Chattopadhyay
Publisher : John Wiley & Sons
Page : 372 pages
File Size : 51,7 Mb
Release : 1997-07-11
Category : Technology & Engineering
ISBN : 0818677171

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Additive Cellular Automata by Parimal Pal Chaudhuri,Dipanwita Roy Chowdhury,Sukumar Nandi,Santanu Chattopadhyay Pdf

This book presents an extensive survey and report of related research on important developments in cellular automata (CA) theory. The authors introduce you to this theory in a comprehensive manner that will help you understand the basics of CA and be prepared for further research. They illustrate the matrix algebraic tools that characterize group CA and help develop its applications in the field of VLSI testing. The text examines schemes based on easily testable FSM, bit-error correcting code, byte error correcting code, and characterization of 2D cellular automata. In addition, it looks into CA-based universal pattern generation, data encryption, and synthesis of easily testable combinational logic. The book covers new characterizations of group CA behavior, CA-based tools for fault diagnosis, and a wide variety of applications to solve real-life problems.

Cellular Automata

Giancarlo Mauri,Samira El Yacoubi,Alberto Dennunzio,Katsuhiro Nishinari,Luca Manzoni
Cellular Automata Book PDF

Author : Giancarlo Mauri,Samira El Yacoubi,Alberto Dennunzio,Katsuhiro Nishinari,Luca Manzoni
Publisher : Springer
Page : 528 pages
File Size : 43,6 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.

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 : 44,6 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.

Quantum Cellular Automata

Massimo Macucci
Quantum Cellular Automata Book PDF

Author : Massimo Macucci
Publisher : Imperial College Press
Page : 299 pages
File Size : 45,5 Mb
Release : 2006
Category : Computers
ISBN : 9781860949067

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Quantum Cellular Automata by Massimo Macucci Pdf

The Quantum Cellular Automaton (QCA) concept represents an attempt to break away from the traditional three-terminal device paradigm that has dominated digital computation. Since its early formulation in 1993 at Notre Dame University, the QCA idea has received significant attention and several physical implementations have been proposed. This book provides a comprehensive discussion of the simulation approaches and the experimental work that have been undertaken on the fabrication of devices capable of demonstrating the fundamentals of QCA action. Complementary views of future perspectives for QCA technology are presented, highlighting a process of realistic simulation and of targeted experiments that can be assumed as a model for the evaluation of future device proposals. Contents: The Concept of Quantum-Dot Cellular Automata (C S Lent); QCA Simulation with the Occupation-Number Hamiltonian (M Macucci & M Governale); Realistic Time-Independent Models of a QCA Cell (J Martorell et al.); Time-Independent Simulation of QCA Circuits (L Bonci et al.); Simulation of the Time-Dependent Behavior of QCA Circuits with the Occupation-Number Hamiltonian (I Yakimenko & K-F Berggren); Time-Dependent Analysis of QCA Circuits with the Monte Carlo Method (L Bonci et al.); Implementation of QCA Cells with SOI Technology (F E Prins et al.); Implementation of QCA Cells in GaAs Technology (Y Jin et al.); Non-Invasive Charge Detectors (G Iannaccone et al.); Metal Dot QCA (G L Snider et al.); Molecular QCA (C S Lent); Magnetic Quantum-Dot Cellular Automata (MQCA) (A Imre et al.). Readership: Physicists, electronic engineers and academics.

Game of Life Cellular Automata

Andrew Adamatzky
Game of Life Cellular Automata Book PDF

Author : Andrew Adamatzky
Publisher : Springer Science & Business Media
Page : 576 pages
File Size : 48,7 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.

Proceedings of First Asian Symposium on Cellular Automata Technology

Sukanta Das,Genaro J. Martinez
Proceedings of First Asian Symposium on Cellular Automata Technology Book PDF

Author : Sukanta Das,Genaro J. Martinez
Publisher : Springer Nature
Page : 251 pages
File Size : 42,8 Mb
Release : 2022-04-27
Category : Technology & Engineering
ISBN : 9789811905421

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Proceedings of First Asian Symposium on Cellular Automata Technology by Sukanta Das,Genaro J. Martinez Pdf

This book gathers selected research papers presented at the First Asian Symposium on Cellular Automata Technology (ASCAT 2022), organized online by academicians from Kolkata, India, during March 3–5, 2022. The book presents one of the most emergent areas in natural computing, cellular automaton (CA). CA is a paradigm of uniform fine-grained parallel computation which has been explored to understand complex systems by developing its model at the microscopic level. The book discusses many real-life problems in the domain of very large-scale integration (VLSI) design and test, pattern recognition and classification, cryptography, pseudo-random pattern generation, image processing, sensor networks, material science, etc., by using CA.

Cellular Automata and Discrete Complex Systems

Jarkko Kari
Cellular Automata and Discrete Complex Systems Book PDF

Author : Jarkko Kari
Publisher : Springer
Page : 263 pages
File Size : 55,8 Mb
Release : 2015-06-03
Category : Computers
ISBN : 9783662472217

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Cellular Automata and Discrete Complex Systems by Jarkko Kari Pdf

This volume constitutes the thoroughly refereed proceedings of the 21st International Workshop on Cellular Automata and Discrete Complex Systems, AUTOMATA 2015, held in Turku, Finland, in June 2015. This volume contains 4 invited talks in full-paper length and 15 regular papers, which were carefully reviewed and selected from a total of 33 submissions. Topics of interest include, the following aspects and features of such systems: dynamical, topological, ergodic and algebraic aspects; algorithmic and complexity issues; emergent properties; formal language processing aspects; symbolic dynamics; models of parallelism and distributed systems; timing schemes; phenomenological descriptions; scientific modeling; and practical applications.

New Methods and Paradigms for Modeling Dynamic Processes Based on Cellular Automata

Bilan, Stepan Mykolayovych,Bilan, Mykola Mykolayovych,Motornyuk, Ruslan Leonidovich
New Methods and Paradigms for Modeling Dynamic Processes Based on Cellular Automata Book PDF

Author : Bilan, Stepan Mykolayovych,Bilan, Mykola Mykolayovych,Motornyuk, Ruslan Leonidovich
Publisher : IGI Global
Page : 326 pages
File Size : 41,9 Mb
Release : 2020-10-16
Category : Computers
ISBN : 9781799826514

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New Methods and Paradigms for Modeling Dynamic Processes Based on Cellular Automata by Bilan, Stepan Mykolayovych,Bilan, Mykola Mykolayovych,Motornyuk, Ruslan Leonidovich Pdf

The accelerating development of computer technology and communications can replace many of the functions of human intellectual activity, as well as help them in making decisions in various situations of their lives. To implement intelligent functions for various purposes, numerous models, paradigms, architectures, and hardware and software are being developed. Because the world is constantly evolving, there is a need to constantly study various dynamic processes to determine possible negative situations that can lead to undesirable catastrophic phenomena and changes. Recently, more attention has been paid to the study of natural processes in nature. Scientific works are appearing that describe the behavior and development of living organisms and the processes of their interaction. Cellular automata are increasingly used to describe and model them. New Methods and Paradigms for Modeling Dynamic Processes Based on Cellular Automata is a collection of innovative research that describes the models and paradigms of building cellular automata that allows for the simulation of the dynamics of the interaction of living organisms from a different scientific point of view. For this, asynchronous cellular automata with a dynamically changing number of “living” cells are used. The chapters describe the theoretical concepts of constructing asynchronous cellular automata with active cells. Much attention is paid to the use of the proposed theoretical principles for solving modeling problems and solving specific applied problems of forming pseudorandom sequences and image processing based on modeling of the human visual channel. Featuring research on topics such as colony interaction, image processing and recognition, and influence mode, this book is ideally designed for engineers, programmers, software developers, researchers, academicians, and students.