BSc /MSc /Staatsprüfung Topics
Table of contents
If you want to do your BSc/MSc/Staatsexamen thesis under my guidance do not hesitate to contact me. Ideally, you’ve attended one (or more) of my courses since possible topics are connected with the material I present in my courses. Together we’ll tailor a topic to your needs and interests. The level of a BSc/Staatsexamen thesis is pitched at advanced “graduate level” textbooks and monographs, while an MSc thesis is research-informed and usually based on one or several original papers or recent research monographs. Below is a list of typical subject areas which are suitable for your thesis.
Forms & Templates (Student Office)
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BSc/Staatsexamen level
- Markov chains
- Random walks
- Poisson processes
- Brownian motion (construction, elementary path properties)
- Limit theorems of probability theory
- Infinite divisibility, convolution, convolution semigroups
- Inequalities in probability
- Inequalities in analysis
- Sobolev spaces, generalized differentiability
- Topological measure theory
- Fourier & Laplace transforms, Bernstein functions
MSc level
- Stochastic differential equations (SDEs)
- Stochastic integration
- Lévy Processes, subordinators
- Dirichlet forms and probabilistic potential theory
- Martingales and Semimartingales
- Analytic methods in probability theory
- Markov processes and partial differential equations
Previous final thesis can be found here.