P-adic Deterministic and Random Dynamics by Andrei Y. KhrennikovP-adic Deterministic and Random Dynamics by Andrei Y. Khrennikov

P-adic Deterministic and Random Dynamics

byAndrei Y. Khrennikov, Marcus Nilsson

Paperback | December 15, 2010

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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.

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Title:P-adic Deterministic and Random DynamicsFormat:PaperbackDimensions:287 pages, 9.61 × 6.69 × 0 inPublished:December 15, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048166985

ISBN - 13:9789048166985

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Table of Contents

Dedication .- Foreword .- Acknowledgements.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 Qp.- 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.- Index.

Editorial Reviews

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)