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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Ceccherini-Silberstein, Tullio (Συγγραφέας), Coornaert, Michel (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
Σειρά:Springer Monographs in Mathematics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.