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Research Group Probability Theory
Probability theory: recognizing structure within randomness
Probability theory is applied in many areas such as business science and computer science. In addition, it has many connections to other areas of mathematics, such as analysis, graph theory and mathematical physics.
Our group is active in the following areas of probability theory:
- with stochastic processes such as random walks in random networks and environments as models for transport in inhomogeneous medium.
- with random walks with self-interaction, for example, self-reinforcing and self-repelling random walks. These models offer fascinating mathematical challenges and contribute to the understanding of self-reinforcing effects within complex biological systems.
- with the research of randomized processes in signal processing and data analysis. These can often be described with the assistance of structured random matrices and then analyzed using methods from probability theory.