The group contributes to the following mathematical research topics of WIAS:
Interacting stochastic particle systemsIn the mathematical modeling of many processes and phenomena in the Sciences and Technology one employs systems with many random particles and interactions. [>> more]
Large deviationsThe theory of large deviations, a branch of probability theory, provides tools for the description of the asymptotic decay rate of a small probability, as a certain parameter diverges or shrinks to zero. Examples are large times, low temperatures, large numbers of stochastic quantities, or an approximation parameter. [>> more]
Random geometric systemsAt WIAS, a number of models of the natural sciences are examined that live from a close interlinking of the random and spatial components, i.e., in which phenomena are observed that mainly arise from the interaction of random influences and spatiality. These include interacting systems of paths or graphs or other structures in space that are used to describe condensation or coagulation processes, or spatial branching processes in random media, to name just a few examples. The aim is to develop mathematical methods for the macroscopic description of such systems. [>> more]

Flexible Research Platform
- Modeling, Analysis, and Scaling Limits for Bulk-Interface Processes
- Data-driven Optimization and Control
- Numerical Methods for Innovative Semiconductor Devices
- Probabilistic Methods for Dynamic Communication Networks
- Quantitative Analysis of Stochastic and Rough Systems
- Simulation of Semiconductor Devices for Quantum Technologies
- Former Groups