Accelerated dynamics: algorithms and mathematical foundations


Seminar Probabilités & Statistique

12/11/2015 - 14:00 Tony LELIEVRE (CERMICS / École des Ponts ParisTech) Salle 1 - Tour IRMA

We present a review of recent works on the mathematical analysis of algorithms which have been proposed by A.F. Voter and co-workers in the late nineties in order to efficiently generate long trajectories of metastable processes. The idea is to use the underlying jump process between metastable sets to accelerate the sampling of the original dynamics. These techniques have been successfully applied in many contexts, in particular in the field of materials science. The mathematical analysis we propose relies on the notion of quasi-stationary distribution.