Cellular Automata and Groups
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 mathem...
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| 主要な著者: | , |
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| 団体著者: | |
| フォーマット: | 電子媒体 eBook |
| 言語: | 英語 |
| 出版事項: |
Cham :
Springer International Publishing : Imprint: Springer,
2023.
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| 版: | 2nd ed. 2023. |
| シリーズ: | Springer Monographs in Mathematics,
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| 主題: | |
| オンライン･アクセス: | https://doi.org/10.1007/978-3-031-43328-3 |
| タグ: |
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目次:
- 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 Sofic 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.