Read e-book online Cellular Automata and Groups (Springer Monographs in PDF

By Tullio Ceccherini-Silberstein,Michel Coornaert

mobile automata have been brought within the first 1/2 the final century by means 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 staff conception, symbolic dynamics, and different branches of arithmetic and theoretical computing device technology. the subjects 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 solid finiteness of workforce jewelry for sofic groups.
The quantity is totally 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 response to the interaction among amenability, geometric and combinatorial crew conception, symbolic dynamics and the algebraic idea of staff jewelry that are handled right here for the 1st time in e-book form.

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


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