ENGLISH

Cellular Automata and Groups

By Michel Coornaert , Tullio Ceccherini-Silberstein

Book information

Publisher
Springer Nature Switzerland
Year
2024
ISBN
9783031433276, 9783031433283
DOI
10.1007/978-3-031-43328-3
ISSN
2196-9922
Language
english
Format
PDF
Filesize
14 MB (14459248 bytes)
Series
Springer Monographs in Mathematics
Edition
2
Pages
556\562
Orientation
yes
Paginated
no
Scanned
portrait
Time added
2024-01-15 12:00:31
cellular automataGarden of Eden TheoremGroup theorySymbolic Dynamics

Description

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.

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