Journal
MULTISCALE MODELING & SIMULATION
Volume 17, Issue 3, Pages 1019-1051Publisher
SIAM PUBLICATIONS
DOI: 10.1137/18M1186034
Keywords
diffusion process; effective dynamics; reaction coordinate; time scale separation; pathwise estimates
Funding
- European Research Council [614492]
- Einstein Foundation Berlin of the Einstein Center for Mathematics (ECMath)
- European Research Council (ERC) [614492] Funding Source: European Research Council (ERC)
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Effective dynamics using conditional expectation was proposed in [F. Legoll and T. Lelievre, Nonlinearity, 23 (2010), pp. 2131-2163] 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. Lelievre, and S. Olla, Stochastic Process. Appl., 127 (2017), pp. 2841-2863], in this paper we obtain pathwise estimates of effective dynamics for both nonlinear and vector-valued reaction coordinate functions.
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