P-adic Deterministic and Random Dynamics /

This is the first monograph in the theory of p-adic (and more general non-Archimedean) dynamical systems. The theory of such systems is a new intensively developing discipline on the boundary between the theory of dynamical systems, theoretical physics, number theory, algebraic geometry and non-Arch...

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Bibliographic Details
Main Author:	Khrennikov, Andrei Yu
Corporate Author:	SpringerLink (Online service)
Other Authors:	Nilson, Marcus
Format:	eBook
Language:	English
Published:	Dordrecht : Springer Netherlands, 2004.
Series:	Mathematics and its applications ; 574.
Subjects:	Mathematics. Geometry, Algebraic. Field theory (Physics) Functional analysis. Mathematical physics. Consciousness. Electronic books.
Online Access:	Connect to the full text of this electronic book

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.