1 citations · 1 across the 5 of their papers we have counts for
9 papers
A spectral approach to the narrow escape problem in two-dimensional domains
Louis Carillo, Tony Lelièvre, Thomas Normand +1
We study the law of the exit time and exit point of a Brownian motion in a two-dimensional domain with reflecting boundary conditions, except on small disjoint exit windows through…
The narrow escape problem in arbitrary dimension
Louis Carillo, Tony Lelièvre, Thomas Normand +2
The narrow escape problem is a prototypical example for studying entropic metastability, motivated by the analysis of biological and chemical systems. The problem concerns the dete…
Approximating committor functions: Objective functions and training data sampling
Thomas Pigeon, Gabriel Stoltz, Tony Lelièvre
Many molecular dynamics simulations aim at studying transitions between two states (from reactants to products). In this context, the committor function (which gives for a given mo…
Efficient Monte Carlo sampling of metastable systems using non-local collective variable updates
Christoph Schönle, Davide Carbone, Marylou Gabrié +2
Monte Carlo simulations are widely used to simulate complex molecular systems, but standard approaches suffer from metastability. Lately, the use of non-local proposal updates in a…
Shape optimization of metastable states
Noé Blassel, Tony Lelièvre, Gabriel Stoltz
The definition of metastable states is an ubiquitous task in the design and analysis of molecular simulations, and is a crucial input in a variety of acceleration methods for the s…
Quantitative low-temperature spectral asymptotics for reversible diffusions in temperature-dependent domains
Noé Blassel, Tony Lelièvre, Gabriel Stoltz
We derive novel low-temperature asymptotics for the spectrum of the infinitesimal generator of the overdamped Langevin dynamics. The novelty is that this operator is endowed with h…