P-adic deterministic and random dynamics

Author(s)

• Khrennikov, Andrei
• Nilsson, Marcus

Bibliographic Information

P-adic deterministic and random dynamics

by Andrei Yu. Khrennikov and Marcus Nils[s]on

（Mathematics and its applications, v. 574）

Kluwer Academic, c2004

• : hb

Note

Includes bibliographical references (p. [255]-267) and index

Description and Table of Contents

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.

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.

by "Nielsen BookData"

• NCID: BA69735165
• ISBN:
  • 1402026595
• Country Code: ne
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Dordrecht
• Pages/Volumes: xvi, 270 p.
• Size: 25 cm
• Parent Bibliography ID:
  • BA00044495