
Rigorous Analysis of Complex Random Systems
The RTG 3027 is a DFG-funded research inititative in analysis and probability at the University of Münster.
The central theme is the rigorous mathematical understanding of how probabilistic systems, modelled on a microscopic level, behave effectively on a macroscopic scale. Examples of such complex random systems come from statistical mechanics, stochastic homogenisation, machine learning and random discrete structures. Within this RTG we strive to advance (tools for) both qualitative and quantitative analyses of such systems using macroscopic/effective variables and to unveil deeper insights into the nature of these intricate mathematical constructs.