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Cellular Automata and Groups (Springer Monographs in - download pdf or read online

By Tullio Ceccherini-Silberstein,Michel Coornaert

mobile automata have been brought within the first half 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 speculation of mobile automata on teams and discover its deep connections with contemporary advancements in geometric crew concept, symbolic dynamics, and different branches of arithmetic and theoretical computing device technological know-how. the themes taken care of 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 sturdy finiteness of team jewelry for sofic groups.
The quantity is solely self-contained, with 10 appendices and greater than three hundred routines, and appeals to a wide viewers together with experts in addition to novices within the box. It offers a entire account of contemporary growth within the concept of mobile automata according to the interaction among amenability, geometric and combinatorial staff concept, symbolic dynamics and the algebraic thought of workforce earrings that are taken care of 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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