2 citations · 4 across the 6 of their papers we have counts for
6 papers
Fractional diffusion in convex domains and reflected isotropic stable processes
Loïc Béthencourt, Nicolas Fournier
We establish the fractional diffusion limit of the kinetic scattering equation with diffusive boundary condition in a strongly convex bounded domain $\mathcal{D}\subset\mathbb{R}^d…
On joint returns to zero of Bessel processes
Quentin Berger, Loïc Béthencourt, Camille Tardif
In this article, we consider joint returns to zero of Bessel processes (): our main goal is to estimate the probability that they avoid having joint returns to zero fo…
An application of Sparre Andersen's fluctuation theorem for exchangeable and sign-invariant random variables
Quentin Berger, Loïc Béthencourt
We revisit here a famous result by Sparre Andersen on persistence probabilities for symmetric random walks . We give…
Persistence problems for additive functionals of one-dimensional Markov processes
Quentin Berger, Loïc Béthencourt, Camille Tardif
In this article, we consider additive functionals of a càdlàg Markov process on . Under some general conditions on…
Fractional diffusion limit for a kinetic Fokker-Planck equation with diffusive boundary conditions in the half-line
Loïc Béthencourt
We consider a particle living in , whose velocity is a positive recurrent diffusion with heavy-tailed invariant distribution when the particle lives in .…
Stable limit theorems for additive functionals of one-dimensional diffusion processes
Loïc Béthencourt
We consider a positive recurrent one-dimensional diffusion process with continuous coefficients and we establish stable central limit theorems for a certain type of additive functi…