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.
Rezensionen / Stimmen
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)
