Tullio Ceccherini-Silberstein,Michel Coornaert's Cellular Automata and Groups (Springer Monographs in PDF

By Tullio Ceccherini-Silberstein,Michel Coornaert

mobile automata have been brought within the first half the final century by means of John von Neumann who used them as theoretical versions for self-reproducing machines. The authors current a self-contained exposition of the speculation of mobile automata on teams and discover its deep connections with contemporary advancements in geometric staff conception, symbolic dynamics, and different branches of arithmetic and theoretical laptop technological know-how. the themes handled comprise particularly 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 solid finiteness of team jewelry for sofic groups.
The quantity is fullyyt self-contained, with 10 appendices and greater than three hundred workouts, and appeals to a wide viewers together with experts in addition to newbies within the box. It presents a complete account of contemporary growth within the concept of mobile automata in keeping with the interaction among amenability, geometric and combinatorial staff idea, symbolic dynamics and the algebraic conception of crew earrings that are handled right here for the 1st time in booklet form.

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

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