Phase Transitions for Mean Field Limits of Noisy Interacting Agents

Explore phase transitions in mean field limits of noisy interacting agents in this 40-minute lecture by Greg Pavliotis at the Alan Turing Institute. Delve into the challenges of reducing complex models in science, engineering, and social sciences to a manageable number of variables for practical computation and accurate prediction. Examine the emerging modelling paradigm that combines statistical inference, high-throughput computation, and physical laws. Discover how this approach is revolutionizing the way we think about models, particularly in areas such as collective dynamics, molecular modelling, cell biology, and fluid dynamics. Learn about the mathematical foundations being developed to support this new paradigm and the importance of incorporating data analysis into complex systems modelling.