This Emerging Field focusses on modeling and analysis of spatial complex systems involving a large number of small, interacting entities that have a smaller or larger scope of possibilities to take influence on the system. In Physics, these entities are often just particles and show little more features than their location in space and one additional property like a mass. Also in Physics, but more in the Social Sciences, there are also a lot of situations in which these entities are much more structured and have highly involved possibilities, they might even be models for human beings that can experience their neighborhood and make own decisions, in which case we call them agents.
The main focus in EF4 is on developing and analyzing models in situations that have not yet been consistently modeled by mathematics. A “non mainstream” modeling is intended. Often the biggest difficulty is to take into account the “human factor” in a convincing manner such that mathematical tools can be applied to a rigorous analysis, e.g., of agent-based models and simulations.
The ultimate goal is the detection of macroscopic phenomena like phase transitions, transitions between metastable regimes, and tipping, that emerge from microscopic rules.
Scientists in Charge: Peter Karl Friz, Wolfgang König