
- English
- PDF
- Available on iOS & Android
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.
Frequently asked questions
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Information
Table of contents
- Cover
- Half-title
- Title
- Copyright
- Dedication
- Contents
- Preface
- Frequently Used Notation
- 1 Markov Processes and Ergodic Properties
- 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
- Epilogue
- Appendix Results from Second Order Elliptic Equations
- References
- Index of symbols
- Subject index