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.
Author: | Tony Lelièvre, Wei Zhang |
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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 |