Contents
Chapters:
1. Introduction to Pathwise Ito-Calculus
2. (Semi-)Martingales and Stochastic Integration
3. Markov Processes
4. Girsanov Transformation
5. Brownian motion and potential theory
6. Stochastic Differential Equations
7. The martingale problem
This is the second lecture course within a specialization sequence in Stochastic Analysis.
Prerequisites:
- Measure Theory and Integration (= MIT) ¹⁾
- Probability Theory I (= Wahrscheinlichkeitstheorie I) ²⁾
- Probability Theory II (= Wahrscheinlichkeitstheorie II) ²⁾
Pdf's of the corresponding lecture notes (= Skipt) are available for ¹⁾ in German (in English only handwritten) and for ²⁾ in German and English. Please, send an e-mail to nofz@math.uni-bielefeld.de to obtain the passwords.
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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.