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Abstract
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In this talk, I will focus on the study of optimal transition paths and transition bottlenecks for randomly perturbed dynamic system. The large deviation theory based minimum action method and the eigenvector-following based numerical method (gentlest ascent dynamics) for saddle points will be reviewed. These deterministic numerical tools are applicable to non-gradient spatially extended systems and effective to study noise-induced transitions in small noise limit. I might also discuss importance sampling of extreme events for dynamics and static problem very briefly.
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