Ergodic control of diffusion processes / Ari Arapostathis, Vivek S. Borkar, Mrinal K. Ghosh.

• Superior document: Encyclopedia of mathematics and its applications ; 143
• Author: ProQuest (Firm); Arapostathis, Ari, 1954-
• TeilnehmendeR: Borkar, Vivek S.; Ghosh, Mrinal K., 1956-; ProQuest (Firm)
• Year of Publication: 2012
• Language: English
• Series: Encyclopedia of mathematics and its applications ; v. 143.
• Physical Description: xvi, 323 p. :; ill.
• Bibliography: Includes bibliographical references and indexes.
• ISBN: 0521768403; 9780521768405; 9781107101258 (electronic bk.)
• Hierarchical level: Monograph
• Statement of Responsibility: Ari Arapostathis, Vivek S. Borkar, Mrinal K. Ghosh.

"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"--