Download e-book for kindle: Cellular Automata and Groups (Springer Monographs in by Tullio Ceccherini-Silberstein,Michel Coornaert

By Tullio Ceccherini-Silberstein,Michel Coornaert

ISBN-10: 3642140335

ISBN-13: 9783642140334

ISBN-10: 3642264751

ISBN-13: 9783642264757

mobile automata have been brought within the first 1/2 the final century by way of John von Neumann who used them as theoretical types for self-reproducing machines. The authors current a self-contained exposition of the idea of mobile automata on teams and discover its deep connections with fresh advancements in geometric workforce concept, symbolic dynamics, and different branches of arithmetic and theoretical machine technology. the themes taken care of contain specifically the backyard of Eden theorem for amenable teams, and the Gromov-Weiss surjunctivity theorem in addition to the answer of the Kaplansky conjecture at the reliable finiteness of crew jewelry for sofic groups.
The quantity is fullyyt self-contained, with 10 appendices and greater than three hundred routines, and appeals to a wide viewers together with experts in addition to beginners within the box. It offers a finished account of modern development within the thought of mobile automata in accordance with the interaction among amenability, geometric and combinatorial staff thought, symbolic dynamics and the algebraic concept of crew earrings that are taken care of the following for the 1st time in publication form.

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Cellular Automata and Groups (Springer Monographs in Mathematics) by Tullio Ceccherini-Silberstein,Michel Coornaert

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