Speaker
Description
Large interacting particle systems (LIPS) are not only an important modeling tool in the life and social sciences, but also the data sciences. In the former case, the particles may correspond to cells or pedestrians interacting with their respective environment and each other, while in the latter, these particles may explore high dimensional data landscapes in the context of global optimisation.
In this talk I will introduce different models for specific applications of LIPS, and discuss how their respective mean-field limit equations can be used to analyse the long time behavior of the systems. These results give important insights on how microscopic dynamics and interactions lead to the formation of complex phenomena, using, for example, tools from optimal transport.
