On the Hill relation and the mean reaction time for metastable processes - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Stochastic Processes and their Applications Year : 2023

On the Hill relation and the mean reaction time for metastable processes

Abstract

We illustrate how the Hill relation and the notion of quasi-stationary distribution can be used to analyse the error introduced by many algorithms 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 error analysis as well as the applicability of our study to elliptic diffusions.

Dates and versions

hal-02921281 , version 1 (25-08-2020)

Identifiers

Cite

Manon Baudel, Arnaud Guyader, Tony Lelièvre. On the Hill relation and the mean reaction time for metastable processes. Stochastic Processes and their Applications, 2023, 155, pp.393-436. ⟨10.1016/j.spa.2022.10.014⟩. ⟨hal-02921281⟩
185 View
0 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More