Research Interests
I am currently working on my applied maths PhD under the supervision of Tony Lelièvre, Urbain Vaes and Gabriel Stoltz on the topic "Metastability in statistical physics: a mathematical and numerical analysis" at CERMICS, École des Ponts et Chaussées (IP Paris, CNRS). I am also a member of the MATHERIALS project-team at Inria Paris.
The specific problem that interests me right now is the narrow escape problem. In a few words, a Brownian motion is trapped in a bounded 2- or 3-dimensional domain with one (or many) small holes. The goal is to compute precisely the asymptotics of the exit time and the distribution of the exit point in the limit where the holes decrease in size.
- Metastability
Long-time behaviour of stochastic processes trapped near local energy minima. - Narrow escape problem
Asymptotics of exit times and exit distributions through small openings. - Molecular dynamics
Sampling and transport coefficients in statistical physics. - Numerical analysis
Mathematical and computational methods for stochastic simulation.