Probabilistic Methods for Dynamic Communication Networks

The group contributes to the following mathematical research topics of WIAS:

In the mathematical modeling of many processes and phenomena in the Sciences and Technology one employs systems with many random particles and interactions. [>> more]

The 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]

At 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]