书目名称 | Cellular Automata and Groups |
编辑 | Tullio Ceccherini-Silberstein,Michel Coornaert |
视频video | http://file.papertrans.cn/223/222995/222995.mp4 |
概述 | The second edition of a unique monograph on symbolic dynamics and geometric group theory.Entirely self-contained, it will appeal to specialists as well as newcomers.Contains more than 600 exercises wh |
丛书名称 | Springer Monographs in Mathematics |
图书封面 |  |
描述 | .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.. |
出版日期 | Textbook 2023Latest edition |
关键词 | Cellular Automaton; Grigorchuk Group; Paradoxical Decomposition; Symbolic Dynamics; Gromov-Weiss Theorem |
版次 | 2 |
doi | https://doi.org/10.1007/978-3-031-43328-3 |
isbn_softcover | 978-3-031-43330-6 |
isbn_ebook | 978-3-031-43328-3Series 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 |