Idempotent Analysis and Its Applications by VASILY KOLOKOLTSOVIdempotent Analysis and Its Applications by VASILY KOLOKOLTSOV

Idempotent Analysis and Its Applications

byVASILY KOLOKOLTSOV, Victor P. Maslov

Paperback | December 3, 2010

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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 Schrödinger equation. Audience: This book will be of interest to mathematicians, engineers, college teachers and students.
Title:Idempotent Analysis and Its ApplicationsFormat:PaperbackDimensions:324 pages, 9.25 × 6.1 × 0.03 inPublished:December 3, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048148340

ISBN - 13:9789048148349

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Table of Contents

Preface. 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: (P. Del Moral) Maslov Optimziation Theory. Optimality versus Randomness. Index.