Andrei Y. Khrennikov,
Marcus Nilsson
Springer Netherlands
0e druk, 2010
9789048166985
P-adic Deterministic and Random Dynamics
Specificaties
Paperback, 270 blz.
|
Engels
Springer Netherlands |
0e druk, 2010
ISBN13: 9789048166985
Rubricering
Onderdeel van serie
Mathematics and Its Applications
Verwachte levertijd ongeveer 8 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9789048166985
Taal:Engels
Bindwijze:paperback
Aantal pagina's:270
Uitgever:Springer Netherlands
Druk:0
Inhoudsopgave
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.
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.