Idempotency

Idempotency

Einband:
Fester Einband
EAN:
9780521553445
Untertitel:
Englisch
Autor:
Jeremy Gunawardena
Herausgeber:
Cambridge University Press
Anzahl Seiten:
456
Erscheinungsdatum:
09.09.2004
ISBN:
052155344X

Klappentext A survey of idempotency! the developing area of mathematics. Zusammenfassung A record of a workshop organized by Hewlett-Packard's Basic Research Institute in the Mathematical Sciences! which brought together many leading researchers in the subject. The articles cover both practical and more theoretical considerations! making it essential reading for all workers in the area. Inhaltsverzeichnis 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....

Klappentext
A survey of idempotency, the developing area of mathematics.

Zusammenfassung
A record of a workshop organized by Hewlett-Packard's Basic Research Institute in the Mathematical Sciences, which brought together many leading researchers in the subject. The articles cover both practical and more theoretical considerations, making it essential reading for all workers in the area.

Inhalt
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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