P-adic Deterministic and Random Dynamics
Published on 15. December 2010
Book
Paperback/Softback
XVIII, 270 pages
978-90-481-6698-5 (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
Softcover reprint of hardcover 1st ed. 2004
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Professional and scholarly
Research
Illustrations
XVIII, 270 p.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 16 mm
Weight
508 gr
ISBN-13
978-90-481-6698-5 (9789048166985)
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
10/2004
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.