The group contributes to the following application oriented research topics of WIAS:

Diffusion models in statistical physics

Many models in statistical physics contain random paths with interactions of various natures, like polymer models, where the path has a self-repellence and attractive interactions with the surrounding medium, or mass transport models in random medium, where the path carries a random mass that is increased and decreased, depending on the properties of the space visited, or self-intersection properties of the path. Also coupled nonlinear diffusion equations are used for modeling such phenomena. [>> more]

Mobile Communication Networks

Devices in our environment are increasingly networked. The exchange of data in these networks carries both opportunities and risks. Smart devices such as smartphones or self-driving cars play a special role. On the other hand, networks like the Internet of Things are made up of many simple devices. We study random mobile communication networks in terms of fundamental characteristics such as connectivity, capacity, and throughput. The focus is on the investigation of probabilities of extreme system overload, the spread of data in the network and strategies for more efficient data transmission. [>> more]