P-adic Deterministic and Random Dynamics

✍ Scribed by Andrei Yu. Khrennikov, Marcus Nilson

• Publisher: Springer
• Year: 2004
• Tongue: English
• Leaves: 278
• Series: Mathematics and Its Applications 574
• Edition: 1
• Category: Library

✦ Synopsis

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)

✦ Table of Contents

Front Matter....Pages i-xvii
On Applications of P -Adic Analysis....Pages 1-4
P -Adic Numbers and P -Adic Analysis....Pages 5-29
P -Adic Dynamical Systems....Pages 31-70
Perturbation of Monomial Systems....Pages 71-82
Dynamical Systems in Finite Extensions of ℚ p ....Pages 83-97
Conjugate Maps....Pages 99-115
P -Adic Ergodicity....Pages 117-121
P -Adic Neural Networks....Pages 123-153
Dynamics in Ultra-Pseudometric Spaces....Pages 155-172
Random Dynamics....Pages 173-191
Dynamics of Probability Distributions on the P -Adic Mental Space....Pages 193-208
Ultrametric Wavelets and Their Applications....Pages 209-228
Theory of P-Adic Valued Probability....Pages 229-254
Back Matter....Pages 255-270

✦ Subjects

Field Theory and Polynomials;Mathematical Methods in Physics;Cognitive Psychology;Functional Analysis;Algebraic Geometry