complex systems

Cars, Pedestrians and Fish as Interacting Brownian Particles

Why do traffic jams appear on a stretch of road when there’s no crash or bottleneck? Why do fish decide to swim in the same direction? This talk will give an overview on the work I’ve been doing on stochastic interacting particle systems. We’ll see …

Will a Large Complex System be Stable?

We can intuitively tell what makes a complex system with interacting components stable. For example in ecosystems, we know that the extinction of a prey species can lead to a mass extinction of predator species that feed on prey to sustain …