Topological Data Analysis of Collective Motion

Explore topological data analysis techniques applied to collective motion models in this 56-minute lecture. Delve into the characterization of global dynamics in agent-based simulations of bird flocks, fish schools, and insect swarms. Learn how Betti numbers are calculated from evolving point clouds to identify persistent topological features in the Vicsek and D'Orsogna models. Discover how this topological approach reveals dynamical events undetected by classical order parameters. Gain insights into potential open questions regarding topological signatures of collective motion averaged across multiple simulations.