Collective Behavior and Phase Transitions

Mathematics of Complexity lecture 5 Class description: We've all heard the buzzwords - chaos, fractals, networks, power laws. What do these terms mean in a rigorous, mathematical sense? This 1-2 credit seminar will explore formalisms associated with the study of complex systems. These include non-linear dynamics (and their associated phase space mappings, as well as chaos), graph theory (networks), and fractals (and their associated power laws). Through readings, in-class problem sets, and hands-

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