2 papers
math.PR2026
On cutoff via rigidity for high dimensional curved diffusions
Djalil Chafaï, Max Fathi
We consider overdamped Langevin diffusions in Euclidean space, with curvature equal to the spectral gap. This includes the Ornstein-Uhlenbeck process as well as non-Gaussian and no…
math.AP2025
On the cutoff phenomenon for fast diffusion and porous medium equations
Djalil Chafaï, Max Fathi, Nikita Simonov
The cutoff phenomenon, conceptualized at the origin for finite Markov chains, states that for a parametric family of evolution equations, started from a point, the distance towards…