From Micro to Macro in Collective Dynamics
Explore the fascinating world of collective dynamics in this 38-minute lecture by Pierre Degond at the Alan Turing Institute. Delve into the complex process of transitioning from microscopic to macroscopic models in systems exhibiting collective behavior, such as flocking, schooling, and pedestrian movements. Gain insights into the challenges of reducing complex models to a manageable number of variables for practical computation and accurate prediction. Discover how powerful statistical approaches, based on large-scale data analysis, are revolutionizing the way we think about and construct models. Learn about the emerging modelling paradigm that combines statistical inference, high-throughput computation, and physical laws. Understand the current state of mathematical foundations for integrating these methods and the potential for future advancements in data-driven modelling of complex systems.