On the Hill relation and the mean reaction time for metastable processes
Probability
2022-11-09 v4 Numerical Analysis
Numerical Analysis
Abstract
We illustrate how the Hill relation and the notion of quasi-stationary distribution can be used to analyse the biasing error introduced by many numerical procedures that have been proposed in the literature, in particular in molecular dynamics, to compute mean reaction times between metastable states for Markov processes. The theoretical findings are illustrated on various examples demonstrating the sharpness of the biasing error analysis as well as the applicability of our study to elliptic diffusions.
Keywords
Cite
@article{arxiv.2008.09790,
title = {On the Hill relation and the mean reaction time for metastable processes},
author = {Manon Baudel and Arnaud Guyader and Tony Lelièvre},
journal= {arXiv preprint arXiv:2008.09790},
year = {2022}
}