From flocking to phase transitions: the mathematics of social dynamics

Start: 04/25/2012 - 2:00pm
End  : 04/25/2012 - 3:00pm

Applied Math Seminar

Alethea Barbaro (University of California, Los Angeles)


Agent-based models are an increasingly important tool for mathematicians working in interdisciplinary mathematics, since they are highly flexible and accessible to researchers in fields as diverse as physics, biology, criminology, and computer science. This technique has been used to model organisms as diverse as fish, insects, birds, and even people, and the models often exhibit interesting behaviors such as flocking and phase transitions. Recently, these models have spawned an active area of research in mathematics by the derivation and analysis of associated kinetic and hydrodynamic PDEs. Studying these models at a kinetic level opens new mathematical perspectives into the dynamics of such systems, raising new and interesting mathematical questions. Here, we will present some agent-based models for social systems, and examine the PDEs arising from these models.

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