Idempotency Analysis Book

	Foreword
	Preface
	List of Participants
	An introduction to idempotency	1
	Tropical semirings	50
	Some automata-theoretic aspects of min-max-plus semirings	70
	The finite power property for rational sets of a free group	80
	The topological approach to the limitedness problem on distance automata	88
	Types and dynamics in partially additive categories	112
	Task resource models and (max,+) automata	133
	Algebraic system analysis of timed Petri nets	145
	Ergodic theorems for stochastic operators and discrete event networks	171
	Computational issues in recursive stochastic systems	209
	Periodic points of nonexpansive maps	231
	A system-theoretic approach for discrete-event control of manufacturing systems	242
	Idempotent structures in the supervisory control of discrete event systems	262
	Maxpolynomials and discrete-event dynamic systems	282
	The Stochastic HJB equation and WKB method	285
	The Lagrange problem from the point of view of idempotent analysis	303
	A new differential equation for the dynamics of the Pareto sets	322
	Duality between probability and optimization	331
	Maslov optimization theory: topological aspects	354
	Random particle methods in (max,+) optimization problems	383
	The geometry of finite dimensional pseudomodules	392
	A general linear max-plus solution technique	406
	Axiomatics of thermodynamics and idempotent analysis	416
	The correspondence principle for idempotent calculus and some computer applications	420