Description |
xvi, 323 p. : ill. |
Series |
Encyclopedia of mathematics and its applications ; 143 |
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Encyclopedia of mathematics and its applications ; v. 143.
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Bibliography |
Includes bibliographical references and indexes. |
Contents |
Machine generated contents note: Preface; 1. Introduction; 2. Controlled diffusions; 3. Nondegenerate controlled diffusions; 4. Various topics in nondegenerate diffusions; 5. Controlled switching diffusions; 6. Controlled martingale problems; 7. Degenerate controlled diffusions; 8. Controlled diffusions with partial observations; Appendix; References; Index of symbols; Subject index. |
Summary |
"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. |
Reproduction |
Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries. |
Subject |
Diffusion processes.
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Ergodic theory.
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Genre/Form |
Electronic books.
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Added Author |
Borkar, Vivek S.
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Ghosh, Mrinal K., 1956-
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ProQuest (Firm)
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ISBN |
0521768403 |
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9780521768405 |
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9781107101258 (electronic bk.) |
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