|
Usually ships within 7 to 9 working days
|
- Product code: 14321
- ISBN: 0521775930,
ISBN13: 9780521775939,
794 pages, paperback
Published by Cambridge University Press on 2000
, 2nd Rate this book...
Rating: 0.0/5 (0 votes cast)
|
|
|
|
|
Description of Diffusions, Markov Processes and Martingales |
Now available in paperback, this celebrated book has been prepared with readers’ needs in mind, remaining a systematic treatment of the subject whilst retaining its vitality. The second volume follows on from the first, concentrating on stochastic integrals, stochastic differential equations, excursion theory and the general theory of processes.
Much effort has gone into making these subjects as accessible as possible by providing many concrete examples that illustrate techniques of calculation, and by treating all topics from the ground up, starting from simple cases. Many of the examples and proofs are new; some important calculational techniques appeared for the first time in this book.
Together with its companion volume, this book helps equip graduate students for research into a subject of great intrinsic interest and wide application in physics, biology, engineering, finance and computer science.
|
Contents of Diffusions, Markov Processes and Martingales |
Some frequently used notation
4. Introduction to Ito calculus
4.1. Some motivating remarks
4.2. Some fundamental ideas: previsible processes, localization, etc.
4.3. The elementary theory of finite-variation processes
4.4. Stochastic integrals: the L2 theory
4.5. Stochastic integrals with respect to continuous semimartingales
4.6. Applications of Ito’s formula
5. Stochastic differential equations and diffusions
5.1. Introduction
5.2. Pathwise uniqueness, strong SDEs, flows
5.3. Weak solutions, uniqueness in law
5.4. Martingale problems, Markov property
5.5. Overture to stochastic differential geometry
5.6. One-dimensional SDEs
5.7. One-dimensional diffusions
6. The general theory
6.1. Orientation
6.2. Debut and section theorems
6.3. Optional projections and filtering
6.4. Characterising previsible times
6.5. Dual previsible projections
6.6. The Meyer decomposition theorem
6.7. Stochastic integration; the general case
6.8. Ito excursion theory
References
Index
|
Buyers of this product also bought
Bulk buying
| If you need bulk copies of Diffusions, Markov Processes and Martingales, or are interested in opening a corporate account, please contact us. |
|
Shopping basket