Ari Arapostathis, Vivek S. Borkar, Mrinal K. Ghosh
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
New York :
نام ناشر، پخش کننده و غيره
Cambridge University Press,
تاریخ نشرو بخش و غیره
2012
مشخصات ظاهری
نام خاص و کميت اثر
xvi, 323 p. ;
ابعاد
24 cm
فروست
عنوان فروست
Encyclopedia of mathematics and its applications ;
مشخصه جلد
143
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references and indexes
یادداشتهای مربوط به مندرجات
متن يادداشت
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
بدون عنوان
8
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
"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"--
متن يادداشت
"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"--
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Diffusion processes
موضوع مستند نشده
Ergodic theory
رده بندی ديویی
شماره
519
.
2/33
ويراست
23
رده بندی کنگره
شماره رده
QA274
.
75
نشانه اثر
.
A73
2011
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )