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Cellular Automata and Groups

Cellular Automata and Groups

Michel Coornaert / Tullio Ceccherini-Silberstein

106,60 €
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Editorial:
Springer Nature B.V.
Año de edición:
2024
Materia
Ingeniería mecánica
ISBN:
9783031433276

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This unique book provides a self-contained exposition of the theory of cellular automata on groups and explores its deep connections with recent developments in geometric and combinatorial group theory, amenability, symbolic dynamics, the algebraic theory of group rings, and other branches of mathematics and theoretical computer science. The topics treated include the Garden of Eden theorem for amenable groups, the Gromov-Weiss surjunctivity theorem, and the solution of the Kaplansky conjecture on the stable finiteness of group rings for sofic groups. Entirely self-contained and now in its second edition, the volume includes 10 appendices and more than 600 exercises, the solutions of which are presented in the companion book Exercises in Cellular Automata and Groups (2023) by the same authors.  It will appeal to a large audience, including specialists and newcomers to the field.

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Otros libros del autor

  • Cellular Automata and Groups
    Michel Coornaert / Tullio Ceccherini-Silberstein
    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 ma...