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P-adic Deterministic and Random Dynamics

Khrennikov Andrei Y. Nilsson Marcus
Innbundet / 2004 / Engelsk

Produktdetaljer

ISBN
9781402026591
Publisert
2004-10-18
Utgiver
Vendor
Springer-Verlag New York Inc.
Høyde
279 mm
Bredde
210 mm
Aldersnivå
Research, G, U, 01, 05
Språk
Product language
Engelsk
Format
Product format
Innbundet

Forfatter
Khrennikov Andrei Y.
Nilsson Marcus

P-adic Deterministic and Random Dynamics

Khrennikov Andrei Y. Nilsson Marcus
Innbundet / 2004 / Engelsk
Khrennikov Andrei Y. Nilsson Marcus
Innbundet / 2004 / Engelsk
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<p>From the reviews:</p> <p></p> <p>"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)</p>

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.
Les mer
Presents an overview of the theory of p-adic (and more general non-Archimedean) dynamical systems. This book focuses on discrete dynamical systems. It presents a model of probabilistic thinking on p-adic mental space based on ultrametric diffusion. It details p-adic neural networks and their applications to cognitive sciences.
Les mer
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.
Les mer
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)
Les mer

Relaterte produkter

<p>From the reviews:</p> <p></p> <p>"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)</p>

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.
Les mer
Presents an overview of the theory of p-adic (and more general non-Archimedean) dynamical systems. This book focuses on discrete dynamical systems. It presents a model of probabilistic thinking on p-adic mental space based on ultrametric diffusion. It details p-adic neural networks and their applications to cognitive sciences.
Les mer
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.
Les mer
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)
Les mer

Produktdetaljer

ISBN
9781402026591
Publisert
2004-10-18
Utgiver
Vendor
Springer-Verlag New York Inc.
Høyde
279 mm
Bredde
210 mm
Aldersnivå
Research, G, U, 01, 05
Språk
Product language
Engelsk
Format
Product format
Innbundet

Forfatter
Khrennikov Andrei Y.
Nilsson Marcus

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