16 citations · 17 across the 11 of their papers we have counts for
3 papers · 1 filter
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…
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…
A spectral approach to the narrow escape problem in the disk
Tony Lelièvre, Mohamad Rachid, Gabriel Stoltz
We study the narrow escape problem in the disk, which consists in identifying the first exit time and first exit point distribution of a Brownian particle from the ball in dimensio…