Ergodic Control of Diffusion Processes

Ergodic Control of Diffusion Processes
Pris
Pris
919,- 919,-
E-Bok
Format E-Bok
Kopisperre Teknisk DRM
Filformat PDF
Utgivelsesår 2011
Forlag Cambridge University Press
Språk Engelsk
ISBN 9781139382588
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Om 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 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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