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Accelerated dynamics and transition state theory.

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Lelièvre Tony
mercredi, 1 février 2017

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Faculté des sciences Section de mathématiques
I will present multiscale in time algorithms which are used in molecular simulation in order to bridge the gap between the atomistic timescale and the macroscopic timescale. More precisely, I will describe the parallel replica algorithm and its mathematical analysis using the notion of quasi stationary distribution. I will also explain how this notion can be used to justify the construction of jump processes starting from the overdamped Langevin dynamics, using transition state theory and Eyring-Kramers formulas for the rates.
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Collection

Workshop on Multiscale methods for stochastic dynamics

1

Stochastic parameterizations of deterministic dynamical systems: Theory, applications and challenges

Georg Gottwald
mardi 31 janvier 2017
2

Ergodic Stochastic Differential Equations and Sampling: A numerical analysis perspective

Kostas Zygalakis
mardi 31 janvier 2017
3

Weak convergence for semi-linear SPDEs.

Sonja Cox
mardi 31 janvier 2017
4

On stochastic numerical methods for the approximative pricing of financial derivatives.

Arnulf Jentzen
mardi 31 janvier 2017
5

Mean-square stability analysis of SPDE approximations.

Annika Lang
mercredi 1 février 2017
6

Adaptive timestepping for S(P)DEs to control growth.

Gabriel Lord
mercredi 1 février 2017
7

Noise-induced transitions and mean field limits for multiscale diffusions.

Greg Pavliotis
mercredi 1 février 2017
8

Accelerated dynamics and transition state theory.

Tony Lelièvre
mercredi 1 février 2017
9

Long-time homogenization of the wave equation.

Antoine Gloria
mercredi 1 février 2017