| 书目名称 | Exercises in Cellular Automata and Groups |
| 编辑 | Tullio Ceccherini-Silberstein,Michel Coornaert |
| 视频video | |
| 概述 | This is the first exercise book on cellular automata over groups.The presentation is detailed and self-contained.Contains several exotic examples and counterexamples |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | .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 maindefinitions and results contained in the corresponding chapter of [CAG]. The book is suitable either for classroom or individual use..Foreword by Rostislav I. Grigorchuk. |
| 出版日期 | Textbook 2023 |
| 关键词 | Group; Cellular Automaton; Kaplansky conjecture; Group Ring; Sofic group; Gromov-Weiss Theorem; Surjunctiv |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-10391-9 |
| isbn_softcover | 978-3-031-10393-3 |
| isbn_ebook | 978-3-031-10391-9Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 19:14:41
