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...
Gardado en:
| Auteurs principaux: | , |
|---|---|
| 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.

