SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Invited Talk

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Mathematical analysis of accelerated dynamics

T. Lelièvre

Abstract
We will present some mathematical analysis of accelerated dynamics techniques which have been proposed by A.F. Voter in the late nineties: the parallel replica method, the hyperdynamics and the temperature accelerated dynamics. The analysis strongly relies on the notion of quasi-stationary distribution. These are joint works with D. Aristoff, C. Le Bris, M. Luskin, F. Nier and D. Perez.

Bibliography
[1] D. Aristoff and T. Lelièvre, Mathematical Analysis of Temperature Accelerated Dynamics, in preparation.
[2] C. Le Bris, T. Lelièvre, M. Luskin and D. Perez, A mathematical formalization of the parallel replica dynamics, MCMA, 18(2), 119-146, (2012).
[3] T. Lelièvre and F. Nier, Low temperature asymptotics for Quasi-Stationary Distribution in a bounded domain, in preparation.

Organized by         Universidad de Valladolid     IMUVA