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math.AP2014★ 2 cited
Analysis and simulation of rare events for SPDE
Charles-Edouard Bréhier, Maxime Gazeau, Ludovic Goudenège +1
In this work, we consider the numerical estimation of the probability for a stochastic process to hit a set B before reaching another set A. This event is assumed to be rare. We co…
math.AP2013
Scalable and Quasi-Contractive Markov Coupling of Maxwell Collision
Mathias Rousset
This paper considers space homogenous Boltzmann kinetic equations in dimension with Maxwell collisions (and without Grad's cut-off). An explicit Markov coupling of the associat…
math.AP2007
Long-time convergence of an Adaptive Biasing Force method
Tony Lelievre, Felix Otto, Mathias Rousset +1
We propose a proof of convergence of an adaptive method used in molecular dynamics to compute free energy profiles. Mathematically, it amounts to studying the long-time behavior of…