Pathwise estimates for effective dynamics: the case of nonlinear vectorial reaction coordinates

  • Effective dynamics using conditional expectation was proposed in [F. Legoll and T. Lelièvre, Nonlinearity, 2010] to approximate the essential dynamics of high-dimensional diffusion processes along a given reaction coordinate. The approximation error of the effective dynamics when it is used to approximate the behavior of the original dynamics has been considered in recent years. As a continuation of the previous work [F. Legoll, T. Lelièvre, and S. Olla, Stoch. Process. Appl, 2017], in this paper we obtain pathwise estimates for effective dynamics when the reaction coordinate function is either nonlinear or vector-valued.
Metadaten
Author:Tony Lelièvre, Wei Zhang
Document Type:Article
Parent Title (English):Multiscale Modeling and Simulation
Issue:17
First Page:1019
Last Page:1051
Year of first publication:2019
ArXiv Id:http://arxiv.org/abs/1805.01928
DOI:https://doi.org/10.1137/18M1186034