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Idempotency Publications of the Newton Institute 1st Edition by Jeremy Gunawardena 9780521553445 0511662505

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Idempotency Publications of the Newton Institute 1st Edition Jeremy Gunawardena Digital Instant Download

Author(s): Jeremy Gunawardena, John M. Taylor, Michael Atiyah
ISBN(s): 9780521553445, 0511662505
Edition: 1
File Details: PDF, 5.02 MB
Year: 2008
Language: english
SKU: EB-1379570 Category: Tags: , ,

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Product details:

ISBN 10: 0511662505

ISBN 13: 9780521553445

Author: Jeremy Gunawardena

Certain nonlinear optimization problems arise in such areas as the theory of computation, pure and applied probability, and mathematical physics. These problems can be solved through linear methods, providing the usual number system is replaced with one that satisfies the idempotent law. Only recently has a systematic study of idempotency analysis emerged, triggered in part by a workshop organized by Hewlett-Packard’s Basic Research Institute in the Mathematical Sciences (BRIMS), which brought together for the first time many leading researchers in the area. This volume, a record of that workshop, includes a variety of contributions, a broad introduction to idempotency, written especially for the book, and a bibliography of the subject. It is the most up-to-date survey currently available of research in this developing area of mathematics; the articles cover both practical and more theoretical considerations, making it essential reading for all workers in the area.

Table of contents:

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Chapter 1: An Introduction to Idempotency
Chapter 2: Tropical Semirings
Chapter 3: Some Automata-Theoretic Aspects of Min-Max-Plus Semirings
Chapter 4: The Finite Power Property for Rational Sets of a Free Group
Chapter 5: The Topological Approach to the Limitedness Problem on Distance Automata
Chapter 6: Types and Dynamics in Partially Additive Categories
Chapter 7: Task Resource Models and (Max,+) Automata
Chapter 8: Algebraic System Analysis of Timed Petri Nets
Chapter 9: Ergodic Theorems for Stochastic Operators and Discrete Event Networks
Chapter 10: Computational Issues in Recursive Stochastic Systems
Chapter 11: Periodic Points of Nonexpansive Maps
Chapter 12: A System-Theoretic Approach for Discrete-Event Control of Manufacturing Systems
Chapter 13: Idempotent Structures in the Supervisory Control of Discrete Event Systems
Chapter 14: Maxpolynomials and Discrete-Event Dynamic Systems
Chapter 15: The Stochastic HJB Equation and WKB Method
Chapter 16: The Lagrange Problem from the Point of View of Idempotent Analysis
Chapter 17: A New Differential Equation for the Dynamics of the Pareto Sets
Chapter 18: Duality Between Probability and Optimization
Chapter 19: Maslov Optimization Theory: Topological Aspects
Chapter 20: Random Particle Methods in (Max,+) Optimization Problems
Chapter 21: The Geometry of Finite Dimensional Pseudomodules
Chapter 22: A General Linear Max-Plus Solution Technique
Chapter 23: Axiomatics of Thermodynamics and Idempotent Analysis
Chapter 24: The Correspondence Principle for Idempotent Calculus and Some Computer Applications

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