Topics
- Construction of Brownian motion
- Properties of Brownian motion
- Markov and strong Markov property for Brownian motion
- Continuous semimartingales
- Stochastic integration
- Properties of stochastic integrals
- Stochastic differential equations (SDEs)
- Existence and uniqueness of solutions to SDEs
- Ito's formula
- Properties of solutions to SDEs
LernraumPlus: https://lernraumplus.uni-bielefeld.de/course/view.php?id=1711
Required prerequisites: Probability Theory I
Recommended prerequisites: Ordinary Differential Equations I
See "Semesterapparat" in the library.
| Frequency | Weekday | Time | Format / Place | Period | |
|---|---|---|---|---|---|
| weekly | Di | 8-10 | U2-205 | 09.10.2017-02.02.2018
not on: 10/31/17 / 12/26/17 / 1/2/18 |
|
| weekly | Do | 8-10 | U2-205 | 09.10.2017-02.02.2018
not on: 12/28/17 / 1/4/18 |
|
| one-time | Mi | 10-12 | T2-228 | 20.12.2017 |
The binding module descriptions contain further information, including specifications on the "types of assignments" students need to complete. In cases where a module description mentions more than one kind of assignment, the respective member of the teaching staff will decide which task(s) they assign the students.