P-adic Deterministic and Random Dynamics
Published on 18. October 2004
Book
Hardback
XVIII, 270 pages
978-1-4020-2659-1 (ISBN)
Description
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.
Reviews / Votes
From 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)
More details
Series
Edition
2004 edition
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Professional and scholarly
Research
Product notice
sewn/stitched
Cloth over boards
Illustrations
XVIII, 270 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 18 mm
Weight
635 gr
ISBN-13
978-1-4020-2659-1 (9781402026591)
DOI
10.1007/978-1-4020-2660-7
Schweitzer Classification
Other editions
Additional editions
Andrei Y. Khrennikov | Marcus Nilsson
P-adic Deterministic and Random Dynamics
Book
12/2010
Springer
€106.99
Shipment within 15-20 days
Content
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.