|
|
|||
|
||||
OverviewThis 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. Full Product DetailsAuthor: Andrei Y. Khrennikov , Marcus NilssonPublisher: Springer Imprint: Springer Edition: Softcover reprint of hardcover 1st ed. 2004 Volume: 574 Dimensions: Width: 17.00cm , Height: 1.50cm , Length: 24.40cm Weight: 0.510kg ISBN: 9789048166985ISBN 10: 9048166985 Pages: 270 Publication Date: 15 December 2010 Audience: Professional and scholarly , College/higher education , Professional & Vocational , Tertiary & Higher Education Format: Paperback Publisher's Status: Active Availability: Out of stock The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of Contents1. 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.ReviewsFrom the reviews: The growing interest in non-Archimedean counterparts of virtually all main notions of classical mathematics and could not leave out holomorphic dynamics, one of the central subjects of modern analysis. ! The authors of this book are among the most active contributors ! and their results constitute the main material of the book. ! The book will be interesting both to specialists in dynamical systems wishing to see the 'p-adic face' of their field, and to readers looking for new applications of mathematics ! . (Anatoly N. Kochubei, Mathematical Reviews, 2005h) Author InformationTab Content 6Author Website:Countries AvailableAll regions |