Ergodic Control of Diffusion Processes
(Book #143 in the Encyclopedia of Mathematics and its Applications Series)
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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.
Format:Hardcover
Language:English
ISBN:0521768403
ISBN13:9780521768405
Release Date:January 2012
Publisher:Cambridge University Press
Length:340 Pages
Weight:1.50 lbs.
Dimensions:0.9" x 6.2" x 9.3"
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