Eric Vanden-Eijnden is a notable figure in the field of applied mathematics and computational science. He is known for his work in areas such as dynamical systems, numerical analysis, and machine learning, particularly in the context of studying complex systems. His research often involves the development of algorithms and techniques for simulating and understanding the behavior of dynamical systems and for applying these methods to practical problems.
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Eric Vanden-Eijnden developed the geometric minimum action with Matthias Heymann. The method computes likely transition paths between states exhibiting metastability in weakly noisy dynamical systems. Reformulating the Freidlin--Wentzell action on curves removes an unnecessary dependence on the speed at which a candidate path is traversed, making the free-time optimization more tractable.[ref]