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

2 MATHERIALS - MATHematics for MatERIALS
CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique, Inria de Paris
Abstract : Effective dynamics using conditional expectation was proposed in [F. Legoll and T. Leli\evre, 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. Leli\evre, 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.
Keywords :
Type de document :
Pré-publication, Document de travail
2018

https://hal.archives-ouvertes.fr/hal-01794919
Contributeur : Tony Lelievre <>
Soumis le : vendredi 18 mai 2018 - 07:31:37
Dernière modification le : lundi 11 juin 2018 - 17:33:12

### Identifiants

• HAL Id : hal-01794919, version 1
• ARXIV : 1805.01928

### Citation

Tony Lelièvre, Wei Zhang. Pathwise estimates for effective dynamics: the case of nonlinear vectorial reaction coordinates. 2018. 〈hal-01794919〉

### Métriques

Consultations de la notice