Daniel Revuz
Continuous martingales and brownian motion : third edition - 3rd ed. - Heidelberg: Springer-Verlag, [c1991] - 606 p. - Grundlehren der mathematischen Wissenschaften Vol. 293 .
1. Introduction
2. Martingales
3. Markov Processes
4. Stochastic Integration
5. Representation of Martingales
6. Local Times
7. Generators and Time Reversal
8. Girsanov’s Theorem and First Applications
9. Stochastic Differential Equations
10. Additive Functionals of Brownian Motion
11. Bessel Processes and Ray-Knight Theorems
12. Excursions
13. Limit Theorems in Distribution
This is the book for a capable graduate student starting out on research in probability: the effect of working through it is as if the authors are sitting beside one, enthusiastically explaining the theory, presenting further developments as exercises, and throwing out challenging remarks about areas awaiting further research. --- summary provided by publisher
9783540643258
QA274.5
Continuous martingales and brownian motion : third edition - 3rd ed. - Heidelberg: Springer-Verlag, [c1991] - 606 p. - Grundlehren der mathematischen Wissenschaften Vol. 293 .
1. Introduction
2. Martingales
3. Markov Processes
4. Stochastic Integration
5. Representation of Martingales
6. Local Times
7. Generators and Time Reversal
8. Girsanov’s Theorem and First Applications
9. Stochastic Differential Equations
10. Additive Functionals of Brownian Motion
11. Bessel Processes and Ray-Knight Theorems
12. Excursions
13. Limit Theorems in Distribution
This is the book for a capable graduate student starting out on research in probability: the effect of working through it is as if the authors are sitting beside one, enthusiastically explaining the theory, presenting further developments as exercises, and throwing out challenging remarks about areas awaiting further research. --- summary provided by publisher
9783540643258
QA274.5