Idempotent Analysis and Its Applications
Author:   Vassili N. Kolokoltsov ,  Victor P. Maslov
Publisher:   Springer
Edition:   Softcover reprint of the original 1st ed. 1997
Volume:   401
ISBN:  

9789048148349


Pages:   305
Publication Date:   03 December 2010
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Idempotent Analysis and Its Applications


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Overview

This monograph is about a branch of calculus the authors have called Idempotent Analysis, which deals with the semimodules of functions ranging in a semiring with idempotent addition. The theory is developed together with numerous applications to discrete mathematics, turnpike theory, mathematical economics, games and controlled Markov processes, the theory of generalised solutions of the Hamilton-Jacobi-Bellman differential equation, the theory of continuously observed and controlled quantum systems and the construction of WKB-like asymptotics of the heat equation and the Schrodinger equation. Audience: This book will be of interest to mathematicians, engineers, college teachers and students.

Full Product Details

Author:   Vassili N. Kolokoltsov ,  Victor P. Maslov
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of the original 1st ed. 1997
Volume:   401
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   0.498kg
ISBN:  

9789048148349


ISBN 10:   9048148340
Pages:   305
Publication Date:   03 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1 Idempotent Analysis.- 2 Analysis of Operators on Idempotent Semimodules.- 3 Generalized Solutions of Bellman’s Differential Equation.- 4 Quantization of the Bellman Equation and Multiplicative Asymptotics.- References.- Appendix (Pierre Del Moral). Maslov Optimization Theory. Optimality versus Randomness.- 1 Maslov’s Integration Theory.- 2 Performance Theory.- 3 Lebesgue-Maslov Semirings.- 4 Convergence Modes.- 5 Optimization Processes.- 6 Applications.- 7 Maslov and Markov Processes.- 8 Nonlinear Filtering and Deterministic Optimization.- 9 Monte-Carlo Principles.- 10 Particle Interpretations.- 11 Convergence.- Conclusions.- References.

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