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math.PR2024
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 n…
math.CA2024★ 3 cited
Riesz Energy with a Radial External Field: When is the Equilibrium Support a Sphere?
Djalil Chafaï, Ryan W. Matzke, Edward B. Saff +2
We consider Riesz energy problems with radial external fields. We study the question of whether or not the equilibrium is the uniform distribution on a sphere. We develop general n…