Research Area G:

Stochastics in discrete, singular, and infinite dimensional structures

Stochastic models play an increasing role in modeling of complex systems in almost all fields of science, economics, and technology. The analysis of these models requires the development of new and sophisticated mathematical techniques. The research in our research area covers this entire range with special focus on modeling in physics, biology, and economics. Models we analyze are:

  • discrete models such as stochastic particle systems and stochastic Ising models
  • stochastic differential equations and stochastic partial differential equations
  • infinite dimensional combinatorial structures.

Leaders of the Research Area