Chapter 6. Basics of polynomial dynamics on groups

Chapters in this book

1. Frontmatter i
2. Contents xix
3. Chapter 1. Algebraic and number-theoretic background 1
4. I. The Commutative Non-Archimedean Dynamics
5. Chapter 2. Dynamics on algebraic structures 37
6. Chapter 3. p-adic analysis 48
7. Chapter 4. p-adic ergodic theory 90
8. Chapter 5. Asymptotic distribution of cycles 162
9. II. The Non-Commutative Non-Archimedean Dynamics
10. Chapter 6. Basics of polynomial dynamics on groups 199
11. Chapter 7. Ergodic polynomials over groups with operators 205
12. III. Applications
13. Chapter 8. Automata, computers, combinatorics 245
14. Chapter 9. Pseudorandom numbers 269
15. Chapter 10. Stream ciphers 305
16. Chapter 11. Structure of trajectories 340
17. Chapter 12. p-adic probability theory 377
18. Chapter 13. p-adic valued quantization 415
19. Chapter 14. m-adic modeling in cognitive science and psychology 433
20. Chapter 15. Neuronal hierarchy behind the ultrametric mental space 468
21. Chapter 16. Gene expression from dynamics in the 2-adic space 487
22. Chapter 17. Genetic code on the diadic plane 494
23. Backmatter 503