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...
שמור ב:
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| מחבר תאגידי: | |
| מחברים אחרים: | , |
| פורמט: | אלקטרוני ספר אלקטרוני |
| שפה: | אנגלית |
| יצא לאור: |
Cambridge ; New York :
Cambridge University Press,
2012.
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| סדרה: | Encyclopedia of mathematics and its applications ;
v. 143. |
| נושאים: | |
| גישה מקוונת: | An electronic book accessible through the World Wide Web; click to view |
| תגים: |
אין תגיות, היה/י הראשונ/ה לתייג את הרשומה!
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| סיכום: | "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"-- |
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| תיאור פיזי: | xvi, 323 p. : ill. |
| ביבליוגרפיה: | Includes bibliographical references and indexes. |