Modeling and Analysis of Collective Behavior of Self-propelled Agents 

(Abstract)

Collective behavior of self-propelled agents (representing birds, fishes, auto cars, etc) such as flocking, swarming, trail formulation, attract much of recent research activities in applied mathematics. In this talk, I will discuss some recent developments in modeling and analysis of these emergence behavior. In particular, I will present some analysis of flocking estimates for Cucker-Smale modes, Vicsek modes for birds and fish. I will discuss connection and passage between particles model, kinetic model and continuum model of these self-propelled agents. I will also present some analysis on short path statistics, a recent developed subject with many applications including collective behavior.