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 systemsSystems with many random components distributed in space (points, edges, graphs, trajectories, etc.) with many short- or long-range interactions are examined at the WIAS for their macroscopic properties. Particular attention is paid to the formation of particularly large structures in the system or other phase transitions. [>> more]
