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Cellular Automata and Groups

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 dev...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Ceccherini-Silberstein, Tullio (Autor), Coornaert, Michel (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010.
Edición:1st ed. 2010.
Colección:Springer Monographs in Mathematics,
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Cellular Automata
  • Residually Finite Groups
  • Surjunctive Groups
  • Amenable Groups
  • The Garden of Eden Theorem
  • Finitely Generated Amenable Groups
  • Local Embeddability and Sofic Groups
  • Linear Cellular Automata
  • Nets and the Tychonoff Product Theorem
  • Uniform Structures
  • Symmetric Groups
  • Free Groups
  • Inductive Limits and Projective Limits of Groups
  • The Banach-Alaoglu Theorem
  • The Markov-Kakutani Fixed Point Theorem
  • The Hall Harem Theorem
  • Complements of Functional Analysis
  • Ultrafilters.