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Cellular Automata and Groups (Hardcover, 2010 ed.)
Loot Price: R3,197
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Cellular Automata and Groups (Hardcover, 2010 ed.)
Series: Springer Monographs in Mathematics
Expected to ship within 10 - 15 working days
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Cellular automata were introduced in the first half of the last
century by John von Neumann who used them as theoretical models for
self-reproducing machines. The authors present a self-contained
exposition of the theory of cellular automata on groups and explore
its deep connections with recent developments in geometric group
theory, symbolic dynamics, and other branches of mathematics and
theoretical computer science. The topics treated include in
particular the Garden of Eden theorem for amenable groups, and the
Gromov-Weiss surjunctivity theorem as well as the solution of the
Kaplansky conjecture on the stable finiteness of group rings for
sofic groups. The volume is entirely self-contained, with 10
appendices and more than 300 exercises, and appeals to a large
audience including specialists as well as newcomers in the field.
It provides a comprehensive account of recent progress in the
theory of cellular automata based on the interplay between
amenability, geometric and combinatorial group theory, symbolic
dynamics and the algebraic theory of group rings which are treated
here for the first time in book form.
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