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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Die verbindlichen Modulbeschreibungen enthalten weitere Informationen, auch zu den "Leistungen" und ihren Anforderungen. Sind mehrere "Leistungsformen" möglich, entscheiden die jeweiligen Lehrenden darüber.