Ergodic Control of Diffusion Processes
eBook - PDF

Ergodic Control of Diffusion Processes

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Ergodic Control of Diffusion Processes

About this book

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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Yes, you can access Ergodic Control of Diffusion Processes by Ari Arapostathis,Vivek S. Borkar,Mrinal K. Ghosh in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Title
  4. Copyright
  5. Dedication
  6. Contents
  7. Preface
  8. Frequently Used Notation
  9. 1 Markov Processes and Ergodic Properties
  10. 2 Controlled Diffusions
  11. 3 Nondegenerate Controlled Diffusions
  12. 4 Various Topics in Nondegenerate Diffusions
  13. 5 Controlled Switching Diffusions
  14. 6 Controlled Martingale Problems
  15. 7 Degenerate Controlled Diffusions
  16. 8 Controlled Diffusions with Partial Observations
  17. Epilogue
  18. Appendix Results from Second Order Elliptic Equations
  19. References
  20. Index of symbols
  21. Subject index