Organizers: Ana Djurdjevac, Nicolas Perkowski, Rupert Klein

Abstract:

Interacting particle systems serve as powerful and versatile models across various domains, including molecular dynamics, biology, and social sciences. While these systems oer rich modeling capabilities, their analytical and computational complexity grows rapidly with the number of particles. A common approach to overcome this challenge is to derive eective equations for the empirical particle density. This mini-symposium focuses on the derivation and analysis of nonlinear SPDEs that describe uctuations in particle systems. Key topics will include various SPDEs arising from such uctuation descriptions, along with their well-posedness and the error with respect to the particle system.