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商品詳細
Cellular Automata and Groups. 2nd ed. 2023.
・ISBN 978-3-031-43327-6 hard EUR 79.99
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| 著者・編者 | Ceccherini-Silberstein, Tullio / Coornaert, Michel, |
|---|---|
| シリーズ | Springer Monographs in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2024 |
| ページ数 | 556 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-1864＞ |
解説
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.