Actions for Exercises in Cellular Automata and Groups [electronic resource]

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Exercises in Cellular Automata and Groups [electronic resource] / by Tullio Ceccherini-Silberstein, Michel Coornaert

Author
Ceccherini-Silberstein, Tullio
Published
Cham : Springer International Publishing : Imprint: Springer, 2023.
Edition
1st ed. 2023.
Physical Description
XVII, 627 pages 15 illustrations : online resource
Additional Creators
Coornaert, M. (Michel) and SpringerLink (Online service)
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Series
Contents
1 Cellular Automata -- 2 Residually Finite Groups -- 3 Surjunctive Groups -- 4 Amenable Groups -- 5 The Garden of Eden Theorem -- 6 Finitely Generated Amenable Groups -- 7 Local Embeddability and Sofic Groups -- 8 Linear Cellular Automata.
Summary
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.
Subject(s)
ISBN
9783031103919
Digital File Characteristics
PDF
text file
Part Of
Springer Nature eBook
View MARC record | catkey: 42531363