Ergodic control of diffusion processes:
Gespeichert in:
Bibliographische Detailangaben
Beteiligte Personen: Arapostathis, Ari 1954- (VerfasserIn), Borkar, Vivek S. 1954- (VerfasserIn), Ghosh, Mrinal K. 1956- (VerfasserIn)
Format: Buch
Sprache:Englisch
Veröffentlicht: Cambridge Cambridge University Press 2012
Ausgabe:1. publ.
Schriftenreihe:Encyclopedia of mathematics and its applications 143
Schlagwörter:
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Beschreibung:"This comprehensive volume on ergodic control for diffusions highlights intuition alongside technical arguments. A concise account of Markov process theory is followed by a complete development of the fundamental issues and formalisms in control of diffusions. This then leads to a comprehensive treatment of ergodic control, a problem that straddles stochastic control and the ergodic theory of Markov processes. The interplay between the probabilistic and ergodic-theoretic aspects of the problem, notably the asymptotics of empirical measures on one hand, and the analytic aspects leading to a characterization of optimality via the associated Hamilton-Jacobi-Bellman equation on the other, is clearly revealed. The more abstract controlled martingale problem is also presented, in addition to many other related issues and models. Assuming only graduate-level probability and analysis, the authors develop the theory in a manner that makes it accessible to users in applied mathematics, engineering, finance and operations research"-- Provided by publisher.
Includes bibliographical references and indexes
Umfang:XVI, 323 S. 24 cm
ISBN:9780521768405
0521768403