Author

G. Vilmart

2 papers indexed here

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Preprint Oct 2026

Limit theorems for one-dimensional diffusions: reflected, skew, sticky, skew-sticky, and snapping-out limits

We establish general conditions for the weak convergence of regular one-dimensional diffusion processes when their scale functions, speed measures, state spaces and boundary conditions may substantially vary. Our approach is based on the classical It\^o--McKean representation of regular diffusions via time changes and...

Andrey Pilipenko, G. Vilmart · 0 citations

Preprint Oct 2026

Reversible Stratonovich perturbations for accelerating convergence to equilibrium of Langevin dynamics

In this paper, we study the problem of sampling from a probability distribution using Langevin-type dynamics. We consider overdamped Langevin dynamics perturbed by adding a Stratonovich perturbation that preserves reversibility. We prove an optimal scaling for the Stratonovich perturbation applied to Gaussian target di...

Guillaume Louis, G. Pavliotis, G. Vilmart · 0 citations