02843nam 2200457 450 991076026130332120231115021136.03-031-10391-210.1007/978-3-031-10391-9(MiAaPQ)EBC30853136(Au-PeEL)EBL30853136(DE-He213)978-3-031-10391-9(EXLCZ)992865279770004120231115d2023 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierExercises in cellular automata and groups /Tullio Ceccherini-Silberstein, Michel CoornaertFirst edition.La Vergne :July House Publishing,2023.©20231 online resource (638 pages)Springer Monographs in Mathematics SeriesPrint version: Ceccherini-Silberstein, Tullio Exercises in Cellular Automata and Groups Cham : Springer International Publishing AG,c2023 9783031103902 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.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.Springer Monographs in Mathematics,2196-9922Cellular automataCellular automata.511.3Ceccherini-Silberstein Tullio503338Coornaert M(Michel),MiAaPQMiAaPQMiAaPQBOOK9910760261303321Exercises in cellular automata and groups3601982UNINA