Ergodic Control of Diffusion Processes

Name: Ergodic Control of Diffusion Processes
SKU: 10411062
Price: 288.99 AUD
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Hardback

Series:

Encyclopedia of Mathematics and Its Applications

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Description

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.

Author Biography:

Ari Arapostathis is a Professor in the Department of Electrical and Computer Engineering at the University of Texas, Austin. Vivek S. Borkar is a Senior Professor in the School of Technology and Computer Science at the Tata Institute of Fundamental Research in Mumbai. Mrinal K. Ghosh is a Professor in the Department of Mathematics at the Indian Institute of Science in Bangalore.

Release date Australia

November 17th, 2011

Author

Audience

Professional & Vocational

Illustrations

1 Line drawings, unspecified

Pages

340

Series

Encyclopedia of Mathematics and Its Applications

Dimensions

161x240x20

ISBN-13

9780521768405

Product ID

10411062

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