P-adic Deterministic and Random Dynamics
Seiten
2004
Springer-Verlag New York Inc.
978-1-4020-2659-1 (ISBN)
Springer-Verlag New York Inc.
978-1-4020-2659-1 (ISBN)
Presents an overview of the theory of p-adic (and more general non-Archimedean) dynamical systems. This book focuses on discrete dynamical systems. It presents a model of probabilistic thinking on p-adic mental space based on ultrametric diffusion. It details p-adic neural networks and their applications to cognitive sciences.
This book provides an overview of the theory of p-adic (and more general non-Archimedean) dynamical systems. The main part of the book is devoted to discrete dynamical systems. It presents a model of probabilistic thinking on p-adic mental space based on ultrametric diffusion. Coverage also details p-adic neural networks and their applications to cognitive sciences: learning algorithms, memory recalling.
This book provides an overview of the theory of p-adic (and more general non-Archimedean) dynamical systems. The main part of the book is devoted to discrete dynamical systems. It presents a model of probabilistic thinking on p-adic mental space based on ultrametric diffusion. Coverage also details p-adic neural networks and their applications to cognitive sciences: learning algorithms, memory recalling.
1. On Applications of P-Adic Analysis.- 2. P-Adic Numbers and P-Adic Analysis.- 3. P-Adic Dynamical Systems.- 4. Perturbation of Monomial Systems.- 5. Dynamical Systems in Finite Extensions of ?
P.- 6. Conjugate Maps.- 7. P-Adic Ergodicity.- 8. P-Adic Neural Networks.- 9. Dynamics in Ultra-Pseudometric Spaces.- 10. Random Dynamics.- 11. Dynamics of Probability Distributions on the P-Adic Mental Space.- 12. Ultrametric Wavelets and Their Applications.- 13. Theory of P-Adic Valued Probability.- References.
| Erscheint lt. Verlag | 18.10.2004 |
|---|---|
| Reihe/Serie | Mathematics and Its Applications ; 574 | Mathematics and Its Applications ; 574 |
| Zusatzinfo | XVIII, 270 p. |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 210 x 279 mm |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Mechanik |
| ISBN-10 | 1-4020-2659-5 / 1402026595 |
| ISBN-13 | 978-1-4020-2659-1 / 9781402026591 |
| Zustand | Neuware |
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