Ergodic control of diffusion processes

"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 trea...

Πλήρης περιγραφή

Αποθηκεύτηκε σε:
Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Arapostathis, Ari, 1954-
Συγγραφή απο Οργανισμό/Αρχή: ebrary, Inc
Άλλοι συγγραφείς: Borkar, Vivek S., Ghosh, Mrinal K., 1956-
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:Αγγλικά
Έκδοση: Cambridge ; New York : Cambridge University Press, 2012.
Σειρά:Encyclopedia of mathematics and its applications ; v. 143.
Θέματα:
Διαθέσιμο Online:An electronic book accessible through the World Wide Web; click to view
Ετικέτες: Προσθήκη ετικέτας
Δεν υπάρχουν, Καταχωρήστε ετικέτα πρώτοι!
Περιγραφή
Περίληψη:"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"--
Φυσική περιγραφή:xvi, 323 p. : ill.
Βιβλιογραφία:Includes bibliographical references and indexes.