Some computational examples of rare events in complex systems

Ioannis Kevrekidis
Princeton University

I will discuss computational examples of transitions between metastable coherent states in models of complex systems; the examples range from agent-based models of financial markets and self-propelled particles to kinetic Monte Carlo simulations of dislocations moving in a field of diffusing impurities. The focus is on coarse-graining the dynamics, and the use of data-mining techniques (in particular, diffusion maps) to detect "good" reduction coordinates for the collective states of the models.

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