P-adic Deterministic and Random Dynamics / Edition 1

P-adic Deterministic and Random Dynamics / Edition 1

by Andrei Y. Khrennikov, Marcus Nilsson
     
 

ISBN-10: 1402026595

ISBN-13: 9781402026591

Pub. Date: 12/21/2004

Publisher: Springer Netherlands

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

…  See more details below

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.

Product Details

ISBN-13:
9781402026591
Publisher:
Springer Netherlands
Publication date:
12/21/2004
Series:
Mathematics and Its Applications (closed) Series, #574
Edition description:
2004
Pages:
270
Product dimensions:
9.21(w) x 6.14(h) x 0.69(d)

Table of Contents

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.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >