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Cellular Automata On Group Sets
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Author :Tullio Ceccherini-Silberstein Publisher :Springer Science & Business Media ISBN 13 :3642140343 Total Pages :446 pages Book Rating :4.6/5 (421 download)
Book Synopsis Cellular Automata and Groups by : Tullio Ceccherini-Silberstein
Download or read book Cellular Automata and Groups written by Tullio Ceccherini-Silberstein and published by Springer Science & Business Media. This book was released on 2010-08-24 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Cellular Automata on Group Sets by : Simon Wacker
Download or read book Cellular Automata on Group Sets written by Simon Wacker and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Cellular Automata and Groups by : Tullio Ceccherini-Silberstein
Download or read book Cellular Automata and Groups written by Tullio Ceccherini-Silberstein and published by Springer Nature. This book was released on 2024-02-16 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Exercises in Cellular Automata and Groups by : Tullio Ceccherini-Silberstein
Download or read book Exercises in Cellular Automata and Groups written by Tullio Ceccherini-Silberstein and published by Springer Nature. This book was released on 2023-11-01 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Cellular Automata by : Samira El Yacoubi
Download or read book Cellular Automata written by Samira El Yacoubi and published by Springer. This book was released on 2016-08-29 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Cellular Automata and Discrete Complex Systems by : Matthew Cook
Download or read book Cellular Automata and Discrete Complex Systems written by Matthew Cook and published by Springer. This book was released on 2016-06-01 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Languages and Automata by : Benjamin Steinberg
Download or read book Languages and Automata written by Benjamin Steinberg and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-10-21 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference discusses how automata and language theory can be used to understand solutions to solving equations in groups and word problems in groups. Examples presented include, how Fine scale complexity theory has entered group theory via these connections and how cellular automata, has been generalized into a group theoretic setting. Chapters written by experts in group theory and computer science explain these connections.
Book Synopsis Proceedings of First Asian Symposium on Cellular Automata Technology by : Sukanta Das
Download or read book Proceedings of First Asian Symposium on Cellular Automata Technology written by Sukanta Das and published by Springer Nature. This book was released on 2022-04-27 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Cellular Automata and Discrete Complex Systems by : Maximilien Gadouleau
Download or read book Cellular Automata and Discrete Complex Systems written by Maximilien Gadouleau and published by Springer Nature. This book was released on with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Groups and Interaction by : Binxing Fang
Download or read book Groups and Interaction written by Binxing Fang and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-08-05 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: The three volume set provides a systematic overview of theories and technique on social network analysis.Volume 2 of the set mainly focuses on the formation and interaction of group behaviors. Users’ behavior analysis, sentiment analysis, influence analysis and collective aggregation are discussed in detail as well. It is an essential reference for scientist and professionals in computer science.
Book Synopsis Trends in Harmonic Analysis by : Massimo A. Picardello
Download or read book Trends in Harmonic Analysis written by Massimo A. Picardello and published by Springer Science & Business Media. This book was released on 2012-12-05 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates the wide range of research subjects developed by the Italian research group in harmonic analysis, originally started by Alessandro Figà-Talamanca, to whom it is dedicated in the occasion of his retirement. In particular, it outlines some of the impressive ramifications of the mathematical developments that began when Figà-Talamanca brought the study of harmonic analysis to Italy; the research group that he nurtured has now expanded to cover many areas. Therefore the book is addressed not only to experts in harmonic analysis, summability of Fourier series and singular integrals, but also in potential theory, symmetric spaces, analysis and partial differential equations on Riemannian manifolds, analysis on graphs, trees, buildings and discrete groups, Lie groups and Lie algebras, and even in far-reaching applications as for instance cellular automata and signal processing (low-discrepancy sampling, Gaussian noise).
Book Synopsis The Cellular Automaton Interpretation of Quantum Mechanics by : Gerard 't Hooft
Download or read book The Cellular Automaton Interpretation of Quantum Mechanics written by Gerard 't Hooft and published by Springer. This book was released on 2016-09-02 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Cellular Automata and Discrete Complex Systems by : Hector Zenil
Download or read book Cellular Automata and Discrete Complex Systems written by Hector Zenil and published by Springer Nature. This book was released on 2020-10-21 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the refereed post-conference proceedings of the 26th IFIP WG 1.5 International Workshop on Cellular Automata and Discrete Complex Systems, AUTOMATA 2020, held in Stockholm, Sweden, in August 2020. The workshop was held virtually. The 11 full papers presented in this book were carefully reviewed and selected from a total of 21 submissions. The topics of the conference include dynamical, topological, ergodic and algebraic aspects of CA and DCS, algorithmic and complexity issues, emergent properties, formal languages, symbolic dynamics, tilings, models of parallelism and distributed systems, timing schemes, synchronous versus asynchronous models, phenomenological descriptions, scientific modeling, and practical applications.
Book Synopsis Additive Cellular Automata by : Parimal Pal Chaudhuri
Download or read book Additive Cellular Automata written by Parimal Pal Chaudhuri and published by John Wiley & Sons. This book was released on 1997-07-11 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :Goulnara N. Arzhantseva Publisher :Springer Science & Business Media ISBN 13 :3764384123 Total Pages :256 pages Book Rating :4.7/5 (643 download)
Book Synopsis Geometric Group Theory by : Goulnara N. Arzhantseva
Download or read book Geometric Group Theory written by Goulnara N. Arzhantseva and published by Springer Science & Business Media. This book was released on 2007-09-24 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume has its origins in the Barcelona Conference in Group Theory (July 2005) and the conference "Asymptotic and Probabilistic Methods in Geometric Group Theory" held in Geneva (June 2005). Twelve peer-reviewed research articles written by experts in the field present the most recent results in abstract and geometric group theory. In particular there are two articles by A. Juhász.
Book Synopsis Cellular Automata by : Alejandro Salcido
Download or read book Cellular Automata written by Alejandro Salcido and published by BoD – Books on Demand. This book was released on 2011-04-11 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Cellular Automata and Discrete Complex Systems by : Alonso Castillo-Ramirez
Download or read book Cellular Automata and Discrete Complex Systems written by Alonso Castillo-Ramirez and published by Springer. This book was released on 2019-06-19 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the refereed proceedings of the 25th IFIP WG 1.5 International Workshop on Cellular Automata and Discrete Complex Systems, AUTOMATA 2019, held in Guadalajara, Mexico, in June 2019.The 7 regular papers presented in this book were carefully reviewed and selected from a total of 10 submissions. The topics of the conference include deal with dynamical, topological, ergodic and algebraic aspects of CA and DCS, algorithmic and complexity issues, emergent properties, formal languages, symbolic dynamics, tilings, models of parallelism and distributed systems, timing schemes, synchronous versus asynchronous models, phenomenological descriptions, scientic modeling, and practical applications.
