Cellular Automata and Groups - 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 and Groups write by Tullio Ceccherini-Silberstein. This book was released on 2010-08-24. Cellular Automata and Groups available in PDF, EPUB and Kindle. 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.
Cellular Automata on Group Sets
Cellular Automata on Group Sets - 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 on Group Sets write by Simon Wacker. This book was released on 2017. Cellular Automata on Group Sets available in PDF, EPUB and Kindle.
Cellular Automata and Groups
Cellular Automata and Groups - 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 and Groups write by Tullio Ceccherini-Silberstein. This book was released on 2024-02-16. Cellular Automata and Groups available in PDF, EPUB and Kindle. 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.
Exercises in Cellular Automata and Groups
Exercises in Cellular Automata and Groups - 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 Exercises in Cellular Automata and Groups write by Tullio Ceccherini-Silberstein. This book was released on 2023-11-01. Exercises in Cellular Automata and Groups available in PDF, EPUB and Kindle. 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
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 Cellular Automata write by Samira El Yacoubi. This book was released on 2016-08-29. Cellular Automata available in PDF, EPUB and Kindle. 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.
