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Titlebook: Cellular Automata and Groups; Tullio Ceccherini-Silberstein,Michel Coornaert Textbook 2023Latest edition The Editor(s) (if applicable) and

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書目名稱Cellular Automata and Groups
編輯Tullio Ceccherini-Silberstein,Michel Coornaert
視頻videohttp://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
叢書名稱Springer Monographs in Mathematics
圖書封面Titlebook: Cellular Automata and Groups;  Tullio Ceccherini-Silberstein,Michel Coornaert Textbook 2023Latest edition The Editor(s) (if applicable) and
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
關鍵詞Cellular Automaton; Grigorchuk Group; Paradoxical Decomposition; Symbolic Dynamics; Gromov-Weiss Theorem
版次2
doihttps://doi.org/10.1007/978-3-031-43328-3
isbn_softcover978-3-031-43330-6
isbn_ebook978-3-031-43328-3Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Tullio Ceccherini-Silberstein,Michel CoornaertThe 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
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Cellular Automata,n is defined as being a map from the group into the alphabet. Thus, a configuration is a way of attaching an element of the alphabet to each element of the group. There is a natural action of the group on the set of configurations which is called the shift action (see Sect. 1.1).
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Cellular Automata and Groups978-3-031-43328-3Series ISSN 1439-7382 Series E-ISSN 2196-9922
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