357 citations · 1.7k across the 74 of their papers we have counts for
24 papers · 1 filter
Eyring-Kramers exit rates for the overdamped Langevin dynamics: the case with saddle points on the boundary
Tony Lelièvre, Dorian Le Peutrec, Boris Nectoux
Let be the stochastic process solution to the overdamped Langevin dynamics and let be the ba…
Estimation of statistics of transitions and Hill relation for Langevin dynamics
Tony Lelièvre, Mouad Ramil, Julien Reygner
In molecular dynamics, statistics of transitions, such as the mean transition time, are macroscopic observables which provide important dynamical information on the underlying micr…
Quasi-stationary distribution for the Langevin process in cylindrical domains, part I: existence, uniqueness and long-time convergence
Tony Lelièvre, Mouad Ramil, Julien Reygner
Consider the Langevin process, described by a vector (position,momentum) in . Let be a open bounded and connected set…
A probabilistic study of the kinetic Fokker-Planck equation in cylindrical domains
Tony Lelièvre, Mouad Ramil, Julien Reygner
We consider classical solutions to the kinetic Fokker-Planck equation on a bounded domain in position, and we obtain a probabilistic representatio…
On the Hill relation and the mean reaction time for metastable processes
Manon Baudel, Arnaud Guyader, Tony Lelièvre
We illustrate how the Hill relation and the notion of quasi-stationary distribution can be used to analyse the biasing error introduced by many numerical procedures that have been…
Adaptive force biasing algorithms: new convergence results and tensor approximations of the bias
Virginie Ehrlacher, Tony Lelièvre, Pierre Monmarché
A modification of the Adaptive Biasing Force method is introduced, in which the free energy is approximated by a sum of tensor products of one-dimensional functions. This enables t…