A survey of idempotency, the developing area of mathematics.
Table of Contents
Foreword; Preface; List of participants; 1. An introduction to idempotency Jeremy Gunawardena; 2. Tropical semirings Jean-Eric Pin; 3. Some automata-theoretic aspects of min-max-plus semirings Daniel Krob; 4. The finite power property for rational sets of a free group Flavio d'Alessandro and Jacques Sakarovitch; 5. The topological approach to the limitedness problem on distance automata Hing Leung; 6. Types and dynamics in partially additive categories Gianfranco Mascari and Marco Pedicini; 7. Task resource models and (max,+) automata Stéphane Gaubert and Jean Mairesse; 8. Algebraic system analysis of timed Petri nets Guy Cohen, Stéphane Gaubert and Jean-Pierre Quadrat; 9. Ergodic theorems for stochastic operators and discrete event networks François Baccelli and Jean Mairesse; 10. Computational issues in recursive stochastic systems Bruno Gaujal and Alain Jean-Marie; 11. Periodic points of nonexpansive maps Roger D. Nussbaum; 12. A system-theoretic approach for discrete-event control of manufacturing systems Ayla Gürel, Octavian C. Pastravanu and Frank L. Lewis; 13. Idempotent structures in the supervisory control of discrete event systems Darren D. Cofer and Vijay K. Garg; 14. Maxpolynomials and discrete-event dynamic systems Raymond A. Cunninghame-Green; 15. The Stochastic HJB equation and WKB method Vassili N. Kolokoltsov; 16. The Lagrange problem from the point of view of idempotent analysis Serguei Samborskii; 17. A new differential equation for the dynamics of the Pareto sets Vassili N. Kolokoltsov and Victor P. Maslov; 18. Duality between probability and optimization Marianne Akian, Jean-Pierre Quadrat and Michel Viot; 19. Maslov optimization theory: topological aspects Pierre Del Moral; 20. Random particle methods in (max,+) optimization problems Pierre Del Moral and Gérard Salut; 21. The geometry of finite dimensional pseudomodules Edouard Wagneur; 22. A general linear max-plus solution technique Elizabeth A. Walkup and Gaetano Borriello; 23. Axiomatics of thermodynamics and idempotent analysis Victor P. Maslov; 24. The correspondence principle for idempotent calculus and some computer applications Grigori L. Litvinov and Victor P. Maslov.
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