Probability theory is a mathematical discipline that plays an increasingly important role in our technological society. We are more and more often faced with organizations, systems and processes that are so complex that an explicit description is not feasible. Instead, probabilistic descriptions and methods of analyses are being used. Because of this, probability theory is internationally flourishing. In our research, we focus on probabilistic problems arising in physics (polymers, porous media and magnetization) and in telecommunication (wireless communication and coding techniques, and network modeling using random graphs).
The goal of statistics is to draw sensible conclusions from available data. We devise and analyze procedures that attempt to find the most appropriate probabilistic model for explaining a given set of data. Statistical methods are used in a huge variety of applied fields. Important examples are medical imaging, genetics, economics, and climate science.
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