Emergent Organization
Emergent organization studies how complex, structured patterns arise spontaneously from simpler interactions within a system, far from equilibrium. Current research focuses on developing mathematical frameworks and computational methods, such as reinforcement learning and physics-informed machine learning, to understand and predict this self-organization across diverse scales, from microscopic particle systems to large-scale climate phenomena. These advancements are improving our ability to model and analyze complex systems, with applications ranging from optimizing multi-agent control to identifying and predicting extreme weather events. The ultimate goal is to establish fundamental principles governing emergent organization, bridging the gap between microscopic interactions and macroscopic behavior.