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
Auteurs principaux: Ceccherini-Silberstein, Tullio, Coornaert, Michel, 1955-...., Mathématicien (Auteur)
Formato: Livre numérique
Idioma:Anglais
Publicado: Cham : Springer International Publishing 2010.
Cham : Springer Nature
Series:Springer Monographs in Mathematics
Acceso en liña:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Cellular automata and Groups, Tullio Ceccherini- Silberstein, Michel Coornaert, Second edition, 2023, Cham, Springer, 1 vol. (XVIII - 556 p.), Springer monographs in mathematics, 978-3-031-43327-6
• Cellular Automata and Groups, Texte imprimé, 9783031433290
• Cellular Automata and Groups, Texte imprimé, 9783031433306
Table des matières:
  • 1 Cellular Automata
  • 2 Residually Finite Groups
  • 3 Surjunctive Groups
  • 4 Amenable Groups
  • 5 The Garden of Eden Theorem
  • 6 Finitely Generated Groups
  • 7 Local Embeddability and So c Groups
  • 8 Linear Cellular Automata
  • Appendix A: Nets and the Tychonoff Product Theorem
  • Appendix B: Uniform Structures
  • Appendix C: Symmetric Groups
  • Appendix D: Free Groups
  • Appendix E: Inductive Limits and Projective Limits of Groups
  • Appendix G: The Markov-Kakutani Fixed Point Theorem
  • Appendix I: Complements of Functional Analysis.