P-adic Deterministic and Random Dynamics

P-adic Deterministic and Random Dynamics

by Andrei Y. Khrennikov, Marcus Nilsson
     
 

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

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Overview

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.

Editorial Reviews

From the Publisher

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)

Product Details

ISBN-13:
9789048166985
Publisher:
Springer Netherlands
Publication date:
12/09/2010
Series:
Mathematics and Its Applications (closed) Series, #574
Edition description:
Softcover reprint of hardcover 1st ed. 2004
Pages:
270
Product dimensions:
6.14(w) x 9.21(h) x 0.61(d)

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